53management's discussion and analysis of financial condition and results of operations in order to borrow funds under the 5-year credit facility , the company must be in compliance with various conditions , covenants and representations contained in the agreements .

the company was in compliance with the terms of the 5-year credit facility at december 31 , 2006 .

the company has never borrowed under its domestic revolving credit facilities .

credit facilities may also be dependent on the company's ability to meet certain conditions at the time a borrowing is requested .

contractual obligations , guarantees , and other purchase commitments contractual obligations summarized in the table below are the company's obligations and commitments to make future payments under debt obligations ( assuming earliest possible exercise of put rights by holders ) , lease payment obligations , and purchase obligations as of december 31 , 2006 .

payments due by period ( 1 ) ( in millions ) total 2007 2008 2009 2010 2011 thereafter .

( 1 ) amounts included represent firm , non-cancelable commitments .

debt obligations : at december 31 , 2006 , the company's long-term debt obligations , including current maturities and unamortized discount and issue costs , totaled $ 4.1 billion , as compared to $ 4.0 billion at december 31 , 2005 .

a table of all outstanding long-term debt securities can be found in note 4 , ""debt and credit facilities'' to the company's consolidated financial statements .

lease obligations : the company owns most of its major facilities , but does lease certain office , factory and warehouse space , land , and information technology and other equipment under principally non-cancelable operating leases .

at december 31 , 2006 , future minimum lease obligations , net of minimum sublease rentals , totaled $ 2.3 billion .

rental expense , net of sublease income , was $ 241 million in 2006 , $ 250 million in 2005 and $ 205 million in 2004 .

purchase obligations : the company has entered into agreements for the purchase of inventory , license of software , promotional agreements , and research and development agreements which are firm commitments and are not cancelable .

the longest of these agreements extends through 2015 .

total payments expected to be made under these agreements total $ 1.0 billion .

commitments under other long-term agreements : the company has entered into certain long-term agreements to purchase software , components , supplies and materials from suppliers .

most of the agreements extend for periods of one to three years ( three to five years for software ) .

however , generally these agreements do not obligate the company to make any purchases , and many permit the company to terminate the agreement with advance notice ( usually ranging from 60 to 180 days ) .

if the company were to terminate these agreements , it generally would be liable for certain termination charges , typically based on work performed and supplier on-hand inventory and raw materials attributable to canceled orders .

the company's liability would only arise in the event it terminates the agreements for reasons other than ""cause.'' the company also enters into a number of arrangements for the sourcing of supplies and materials with minimum purchase commitments and take-or-pay obligations .

the majority of the minimum purchase obligations under these contracts are over the life of the contract as opposed to a year-by-year take-or-pay .

if these agreements were terminated at december 31 , 2006 , the company's obligation would not have been significant .

the company does not anticipate the cancellation of any of these agreements in the future .

subsequent to the end of 2006 , the company entered into take-or-pay arrangements with suppliers through may 2009 with minimum purchase obligations of $ 2.2 billion during that period .

the company estimates purchases during that period that exceed the minimum obligations .

the company outsources certain corporate functions , such as benefit administration and information technology-related services .

these contracts are expected to expire in 2013 .

the total remaining payments under these contracts are approximately $ 1.3 billion over the remaining seven years ; however , these contracts can be %%transmsg*** transmitting job : c11830 pcn : 055000000 *** %%pcmsg| |00030|yes|no|02/28/2007 13:05|0|1|page is valid , no graphics -- color : n| .

1	( in millions )	payments due by period ( 1 ) total	payments due by period ( 1 ) 2007	payments due by period ( 1 ) 2008	payments due by period ( 1 ) 2009	payments due by period ( 1 ) 2010	payments due by period ( 1 ) 2011	payments due by period ( 1 ) thereafter

2	long-term debt obligations	$ 4134	$ 1340	$ 198	$ 4	$ 534	$ 607	$ 1451

3	lease obligations	2328	351	281	209	178	158	1151

4	purchase obligations	1035	326	120	26	12	12	539

5	total contractual obligations	$ 7497	$ 2017	$ 599	$ 239	$ 724	$ 777	$ 3141

Question: what is the percentage of decrease of long-term debt from 2007 to 2011?

Answer: 0.54701


comparison of cumulative return among lkq corporation , the nasdaq stock market ( u.s. ) index and the peer group .

this stock performance information is "furnished" and shall not be deemed to be "soliciting material" or subject to rule 14a , shall not be deemed "filed" for purposes of section 18 of the securities exchange act of 1934 or otherwise subject to the liabilities of that section , and shall not be deemed incorporated by reference in any filing under the securities act of 1933 or the securities exchange act of 1934 , whether made before or after the date of this report and irrespective of any general incorporation by reference language in any such filing , except to the extent that it specifically incorporates the information by reference .

information about our common stock that may be issued under our equity compensation plans as of december 31 , 2016 included in part iii , item 12 of this annual report on form 10-k is incorporated herein by reference. .

Question: what was the difference in percentage cumulative return for lkq corporation and the s&p 500 index for the five years ended 12/31/2016?

Answer: 0.26


interest rate cash flow hedges 2013 we report changes in the fair value of cash flow hedges in accumulated other comprehensive loss until the hedged item affects earnings .

at both december 31 , 2008 and 2007 , we had reductions of $ 4 million recorded as an accumulated other comprehensive loss that is being amortized on a straight-line basis through september 30 , 2014 .

as of december 31 , 2008 and 2007 , we had no interest rate cash flow hedges outstanding .

earnings impact 2013 our use of derivative financial instruments had the following impact on pre-tax income for the years ended december 31 : millions of dollars 2008 2007 2006 .

fair value of debt instruments 2013 the fair value of our short- and long-term debt was estimated using quoted market prices , where available , or current borrowing rates .

at december 31 , 2008 , the fair value of total debt is approximately $ 247 million less than the carrying value .

at december 31 , 2007 , the fair value of total debt exceeded the carrying value by approximately $ 96 million .

at december 31 , 2008 and 2007 , approximately $ 320 million and $ 181 million , respectively , of fixed-rate debt securities contained call provisions that allowed us to retire the debt instruments prior to final maturity , with the payment of fixed call premiums , or in certain cases , at par .

sale of receivables 2013 the railroad transfers most of its accounts receivable to union pacific receivables , inc .

( upri ) , a bankruptcy-remote subsidiary , as part of a sale of receivables facility .

upri sells , without recourse on a 364-day revolving basis , an undivided interest in such accounts receivable to investors .

the total capacity to sell undivided interests to investors under the facility was $ 700 million and $ 600 million at december 31 , 2008 and 2007 , respectively .

the value of the outstanding undivided interest held by investors under the facility was $ 584 million and $ 600 million at december 31 , 2008 and 2007 , respectively .

upri reduced the outstanding undivided interest held by investors due to a decrease in available receivables at december 31 , 2008 .

the value of the outstanding undivided interest held by investors is not included in our consolidated financial statements .

the value of the undivided interest held by investors was supported by $ 1015 million and $ 1071 million of accounts receivable held by upri at december 31 , 2008 and 2007 , respectively .

at december 31 , 2008 and 2007 , the value of the interest retained by upri was $ 431 million and $ 471 million , respectively .

this retained interest is included in accounts receivable in our consolidated financial statements .

the interest sold to investors is sold at carrying value , which approximates fair value , and there is no gain or loss recognized from the transaction .

the value of the outstanding undivided interest held by investors could fluctuate based upon the availability of eligible receivables and is directly affected by changing business volumes and credit risks , including default and dilution .

if default or dilution percentages were to increase one percentage point , the amount of eligible receivables would decrease by $ 6 million .

should our credit rating fall below investment grade , the value of the outstanding undivided interest held by investors would be reduced , and , in certain cases , the investors would have the right to discontinue the facility .

the railroad services the sold receivables ; however , the railroad does not recognize any servicing asset or liability as the servicing fees adequately compensate us for these responsibilities .

the railroad collected approximately $ 17.8 billion and $ 16.1 billion during the years ended december 31 , 2008 and 2007 , respectively .

upri used certain of these proceeds to purchase new receivables under the facility. .

1	millions of dollars	2008	2007	2006

2	( increase ) /decrease in interest expense from interest rate hedging	$ 1	$ -8 ( 8 )	$ -8 ( 8 )

3	( increase ) /decrease in fuel expense from fuel derivatives	1	-1 ( 1 )	3

4	increase/ ( decrease ) in pre-tax income	$ 2	$ -9 ( 9 )	$ -5 ( 5 )

Question: what was the percentage difference in sold receivables from 2007 to 2008?

Answer: 0.10559


software and will give the company a comprehensive design-to-silicon flow that links directly into the semiconductor manufacturing process .

integrating hpl 2019s yield management and test chip technologies into the company 2019s industry-leading dfm portfolio is also expected to enable customers to increase their productivity and improve profitability in the design and manufacture of advanced semiconductor devices .

the company paid $ 11.0 million in cash for all outstanding shares of hpl .

in addition , the company had a prior investment in hpl of approximately $ 1.9 million .

the total purchase consideration consisted of: .

acquisition-related costs of $ 2.8 million consist primarily of legal , tax and accounting fees of $ 1.6 million , $ 0.3 million of estimated facilities closure costs and other directly related charges , and $ 0.9 million in employee termination costs .

as of october 31 , 2006 , the company had paid $ 2.2 million of the acquisition related costs , of which $ 1.1 million were for professional services costs , $ 0.2 million were for facilities closure costs and $ 0.9 million were for employee termination costs .

the $ 0.6 million balance remaining at october 31 , 2006 consists of professional and tax-related service fees and facilities closure costs .

the company acquired $ 8.5 million of intangible assets consisting of $ 5.1 million in core developed technology , $ 3.2 million in customer relationships and $ 0.2 million in backlog to be amortized over two to four years .

approximately $ 0.8 million of the purchase price represents the fair value of acquired in-process research and development projects that have not yet reached technological feasibility and have no alternative future use .

accordingly , the amount was immediately expensed and included in the company 2019s condensed consolidated statement of operations for the first quarter of fiscal year 2006 .

additionally , the company acquired tangible assets of $ 14.0 million and assumed liabilities of $ 10.9 million .

goodwill , representing the excess of the purchase price over the fair value of the net tangible and identifiable intangible assets acquired in the merger was $ 3.4 million .

goodwill resulted primarily from the company 2019s expectation of synergies from the integration of hpl 2019s technology with the company 2019s technology and operations .

during the fiscal year 2006 , the company completed an asset acquisition for cash consideration of $ 1.5 million .

this acquisition is not considered material to the company 2019s consolidated balance sheet and results of operations .

fiscal 2005 acquisitions nassda corporation ( nassda ) the company acquired nassda on may 11 , 2005 .

the company believes nassda 2019s full-chip circuit simulation and analysis software will broaden its offerings of transistor-level circuit simulation tools , particularly in the area of mixed-signal and memory design .

the company acquired all the outstanding shares of nassda for total cash consideration of $ 200.2 million , or $ 7.00 per share .

in addition , as required by the merger agreement , certain nassda officers , directors and employees who were defendants in certain preexisting litigation .

1		( in thousands )

2	cash paid	$ 11001

3	prior investment in hpl	1872

4	acquisition-related costs	2831

5	total purchase price	$ 15704

Question: what percentage of the total purchase price is represented by intangible assets?

Answer: 0.54126


Question: what percentage of the total purchase price is represented by goodwill?

Answer: 0.21651


for uncoated freesheet paper and market pulp announced at the end of 2009 become effective .

input costs are expected to be higher due to wood supply constraints at the kwidzyn mill and annual tariff increases on energy in russia .

planned main- tenance outage costs are expected to be about flat , while operating costs should be favorable .

asian printing papers net sales were approx- imately $ 50 million in 2009 compared with approx- imately $ 20 million in both 2008 and 2007 .

operating earnings increased slightly in 2009 compared with 2008 , but were less than $ 1 million in all periods .

market pulp net sales in 2009 totaled $ 575 million compared with $ 750 million in 2008 and $ 655 million in 2007 .

operating earnings in 2009 were $ 140 million ( a loss of $ 71 million excluding alter- native fuel mixture credits and plant closure costs ) compared with a loss of $ 156 million ( a loss of $ 33 million excluding costs associated with the perma- nent shutdown of the bastrop mill ) in 2008 and earn- ings of $ 78 million in 2007 .

sales volumes in 2009 decreased from 2008 levels due to weaker global demand .

average sales price realizations were significantly lower as the decline in demand resulted in significant price declines for market pulp and smaller declines in fluff pulp .

input costs for wood , energy and chemicals decreased , and freight costs were significantly lower .

mill operating costs were favorable across all mills , and planned maintenance downtime costs were lower .

lack-of-order downtime in 2009 increased to approx- imately 540000 tons , including 480000 tons related to the permanent shutdown of our bastrop mill in the fourth quarter of 2008 , compared with 135000 tons in 2008 .

in the first quarter of 2010 , sales volumes are expected to increase slightly , reflecting improving customer demand for fluff pulp , offset by slightly seasonally weaker demand for softwood and hard- wood pulp in china .

average sales price realizations are expected to improve , reflecting the realization of previously announced sales price increases for fluff pulp , hardwood pulp and softwood pulp .

input costs are expected to increase for wood , energy and chemicals , and freight costs may also increase .

planned maintenance downtime costs will be higher , but operating costs should be about flat .

consumer packaging demand and pricing for consumer packaging prod- ucts correlate closely with consumer spending and general economic activity .

in addition to prices and volumes , major factors affecting the profitability of consumer packaging are raw material and energy costs , freight costs , manufacturing efficiency and product mix .

consumer packaging net sales in 2009 decreased 4% ( 4 % ) compared with 2008 and increased 1% ( 1 % ) compared with 2007 .

operating profits increased significantly compared with both 2008 and 2007 .

excluding alternative fuel mixture credits and facility closure costs , 2009 operating profits were sig- nificantly higher than 2008 and 57% ( 57 % ) higher than 2007 .

benefits from higher average sales price realizations ( $ 114 million ) , lower raw material and energy costs ( $ 114 million ) , lower freight costs ( $ 21 million ) , lower costs associated with the reorganiza- tion of the shorewood business ( $ 23 million ) , favor- able foreign exchange effects ( $ 14 million ) and other items ( $ 12 million ) were partially offset by lower sales volumes and increased lack-of-order downtime ( $ 145 million ) and costs associated with the perma- nent shutdown of the franklin mill ( $ 67 million ) .

additionally , operating profits in 2009 included $ 330 million of alternative fuel mixture credits .

consumer packaging in millions 2009 2008 2007 .

north american consumer packaging net sales were $ 2.2 billion compared with $ 2.5 billion in 2008 and $ 2.4 billion in 2007 .

operating earnings in 2009 were $ 343 million ( $ 87 million excluding alter- native fuel mixture credits and facility closure costs ) compared with $ 8 million ( $ 38 million excluding facility closure costs ) in 2008 and $ 70 million in 2007 .

coated paperboard sales volumes were lower in 2009 compared with 2008 reflecting weaker market conditions .

average sales price realizations were significantly higher , reflecting the full-year realization of price increases implemented in the second half of 2008 .

raw material costs for wood , energy and chemicals were significantly lower in 2009 , while freight costs were also favorable .

operating costs , however , were unfavorable and planned main- tenance downtime costs were higher .

lack-of-order downtime increased to 300000 tons in 2009 from 15000 tons in 2008 due to weak demand .

operating results in 2009 include income of $ 330 million for alternative fuel mixture credits and $ 67 million of expenses for shutdown costs for the franklin mill .

foodservice sales volumes were lower in 2009 than in 2008 due to generally weak world-wide economic conditions .

Question: north american consumer packaging net sales where what percentage of consumer packaging sales in 2008?

Answer: 0.78247


edwards lifesciences corporation notes to consolidated financial statements ( continued ) 13 .

common stock ( continued ) the company also maintains the nonemployee directors stock incentive compensation program ( the 2018 2018nonemployee directors program 2019 2019 ) .

under the nonemployee directors program , upon a director 2019s initial election to the board , the director receives an initial grant of stock options or restricted stock units equal to a fair market value on grant date of $ 0.2 million , not to exceed 20000 shares .

these grants vest over three years from the date of grant , subject to the director 2019s continued service .

in addition , annually each nonemployee director may receive up to 40000 stock options or 16000 restricted stock units of the company 2019s common stock , or a combination thereof , provided that in no event may the total value of the combined annual award exceed $ 0.2 million .

these grants generally vest over one year from the date of grant .

under the nonemployee directors program , an aggregate of 2.8 million shares of the company 2019s common stock has been authorized for issuance .

the company has an employee stock purchase plan for united states employees and a plan for international employees ( collectively 2018 2018espp 2019 2019 ) .

under the espp , eligible employees may purchase shares of the company 2019s common stock at 85% ( 85 % ) of the lower of the fair market value of edwards lifesciences common stock on the effective date of subscription or the date of purchase .

under the espp , employees can authorize the company to withhold up to 12% ( 12 % ) of their compensation for common stock purchases , subject to certain limitations .

the espp is available to all active employees of the company paid from the united states payroll and to eligible employees of the company outside the united states , to the extent permitted by local law .

the espp for united states employees is qualified under section 423 of the internal revenue code .

the number of shares of common stock authorized for issuance under the espp was 13.8 million shares .

the fair value of each option award and employee stock purchase subscription is estimated on the date of grant using the black-scholes option valuation model that uses the assumptions noted in the following tables .

the risk-free interest rate is estimated using the u.s .

treasury yield curve and is based on the expected term of the award .

expected volatility is estimated based on a blend of the weighted-average of the historical volatility of edwards lifesciences 2019 stock and the implied volatility from traded options on edwards lifesciences 2019 stock .

the expected term of awards granted is estimated from the vesting period of the award , as well as historical exercise behavior , and represents the period of time that awards granted are expected to be outstanding .

the company uses historical data to estimate forfeitures and has estimated an annual forfeiture rate of 6.0% ( 6.0 % ) .

the black-scholes option pricing model was used with the following weighted-average assumptions for options granted during the following periods : option awards .

1		2016	2015	2014

2	average risk-free interest rate	1.1% ( 1.1 % )	1.4% ( 1.4 % )	1.5% ( 1.5 % )

3	expected dividend yield	none	none	none

4	expected volatility	33% ( 33 % )	30% ( 30 % )	31% ( 31 % )

5	expected life ( years )	4.5	4.6	4.6

6	fair value per share	$ 31.00	$ 18.13	$ 11.75

Question: what is the percent change in the fair value per share between 2014 and 2016?

Answer: 1.6383


the following graph compares the cumulative 5-year total return to shareholders of cadence design systems , inc . 2019s common stock relative to the cumulative total returns of the s & p 500 index , the nasdaq composite index and the s & p information technology index .

the graph assumes that the value of the investment in the company 2019s common stock and in each of the indexes ( including reinvestment of dividends ) was $ 100 on december 29 , 2001 and tracks it through december 30 , 2006 .

comparison of 5 year cumulative total return* among cadence design systems , inc. , the s & p 500 index , the nasdaq composite index and the s & p information technology index 12/30/0612/31/051/1/051/3/0412/28/0212/29/01 cadence design systems , inc .

nasdaq composite s & p information technology s & p 500 * $ 100 invested on 12/29/01 in stock or on 12/31/01 in index-incuding reinvestment of dividends .

copyright b7 2007 , standard & poor 2019s , a division of the mcgraw-hill companies , inc .

www.researchdatagroup.com/s&p.htm december 29 , december 28 , january 3 , january 1 , december 31 , december 30 .

Question: what was the percentage cumulative 5-year total return to shareholders of cadence design systems , inc . 2019s common stock for the period ended december 30 , 2006?

Answer: -0.2004


Question: what is the rate of return of an investment in s&p500 inc from 2001 to 2005?

Answer: 0.1115


note 6 : inventories we use the last-in , first-out ( lifo ) method for the majority of our inventories located in the continental u.s .

other inventories are valued by the first-in , first-out ( fifo ) method .

fifo cost approximates current replacement cost .

inventories measured using lifo must be valued at the lower of cost or market .

inventories measured using fifo must be valued at the lower of cost or net realizable value .

inventories at december 31 consisted of the following: .

inventories valued under the lifo method comprised $ 1.57 billion and $ 1.56 billion of total inventories at december 31 , 2018 and 2017 , respectively .

note 7 : financial instruments financial instruments that potentially subject us to credit risk consist principally of trade receivables and interest- bearing investments .

wholesale distributors of life-science products account for a substantial portion of our trade receivables ; collateral is generally not required .

we seek to mitigate the risk associated with this concentration through our ongoing credit-review procedures and insurance .

a large portion of our cash is held by a few major financial institutions .

we monitor our exposures with these institutions and do not expect any of these institutions to fail to meet their obligations .

major financial institutions represent the largest component of our investments in corporate debt securities .

in accordance with documented corporate risk-management policies , we monitor the amount of credit exposure to any one financial institution or corporate issuer .

we are exposed to credit-related losses in the event of nonperformance by counterparties to risk-management instruments but do not expect any counterparties to fail to meet their obligations given their high credit ratings .

we consider all highly liquid investments with a maturity of three months or less from the date of purchase to be cash equivalents .

the cost of these investments approximates fair value .

our equity investments are accounted for using three different methods depending on the type of equity investment : 2022 investments in companies over which we have significant influence but not a controlling interest are accounted for using the equity method , with our share of earnings or losses reported in other-net , ( income ) expense .

2022 for equity investments that do not have readily determinable fair values , we measure these investments at cost , less any impairment , plus or minus changes resulting from observable price changes in orderly transactions for the identical or similar investment of the same issuer .

any change in recorded value is recorded in other-net , ( income ) expense .

2022 our public equity investments are measured and carried at fair value .

any change in fair value is recognized in other-net , ( income ) expense .

we review equity investments other than public equity investments for indications of impairment on a regular basis .

our derivative activities are initiated within the guidelines of documented corporate risk-management policies and are intended to offset losses and gains on the assets , liabilities , and transactions being hedged .

management reviews the correlation and effectiveness of our derivatives on a quarterly basis. .

1		2018	2017

2	finished products	$ 988.1	$ 1211.4

3	work in process	2628.2	2697.7

4	raw materials and supplies	506.5	488.8

5	total ( approximates replacement cost )	4122.8	4397.9

6	increase ( reduction ) to lifo cost	-11.0 ( 11.0 )	60.4

7	inventories	$ 4111.8	$ 4458.3

Question: what was the percentage change in inventories between 2017 and 2018?

Answer: -0.07772


edwards lifesciences corporation notes to consolidated financial statements ( continued ) 13 .

common stock ( continued ) the company also maintains the nonemployee directors stock incentive compensation program ( the 2018 2018nonemployee directors program 2019 2019 ) .

under the nonemployee directors program , upon a director 2019s initial election to the board , the director receives an initial grant of stock options or restricted stock units equal to a fair market value on grant date of $ 0.2 million , not to exceed 20000 shares .

these grants vest over three years from the date of grant , subject to the director 2019s continued service .

in addition , annually each nonemployee director may receive up to 40000 stock options or 16000 restricted stock units of the company 2019s common stock , or a combination thereof , provided that in no event may the total value of the combined annual award exceed $ 0.2 million .

these grants generally vest over one year from the date of grant .

under the nonemployee directors program , an aggregate of 2.8 million shares of the company 2019s common stock has been authorized for issuance .

the company has an employee stock purchase plan for united states employees and a plan for international employees ( collectively 2018 2018espp 2019 2019 ) .

under the espp , eligible employees may purchase shares of the company 2019s common stock at 85% ( 85 % ) of the lower of the fair market value of edwards lifesciences common stock on the effective date of subscription or the date of purchase .

under the espp , employees can authorize the company to withhold up to 12% ( 12 % ) of their compensation for common stock purchases , subject to certain limitations .

the espp is available to all active employees of the company paid from the united states payroll and to eligible employees of the company outside the united states , to the extent permitted by local law .

the espp for united states employees is qualified under section 423 of the internal revenue code .

the number of shares of common stock authorized for issuance under the espp was 13.8 million shares .

the fair value of each option award and employee stock purchase subscription is estimated on the date of grant using the black-scholes option valuation model that uses the assumptions noted in the following tables .

the risk-free interest rate is estimated using the u.s .

treasury yield curve and is based on the expected term of the award .

expected volatility is estimated based on a blend of the weighted-average of the historical volatility of edwards lifesciences 2019 stock and the implied volatility from traded options on edwards lifesciences 2019 stock .

the expected term of awards granted is estimated from the vesting period of the award , as well as historical exercise behavior , and represents the period of time that awards granted are expected to be outstanding .

the company uses historical data to estimate forfeitures and has estimated an annual forfeiture rate of 6.0% ( 6.0 % ) .

the black-scholes option pricing model was used with the following weighted-average assumptions for options granted during the following periods : option awards .

Question: what is the percentage difference in the fair value per share between 2014 and 2015?

Answer: 0.54298


part ii item 5 2014market for registrant 2019s common equity and related stockholder matters market information .

the common stock of the company is currently traded on the new york stock exchange ( nyse ) under the symbol 2018 2018aes . 2019 2019 the following tables set forth the high and low sale prices for the common stock as reported by the nyse for the periods indicated .

as of march 3 , 2003 , there were 9663 record holders of the company 2019s common stock , par value $ 0.01 per share .

under the terms of the company 2019s senior secured credit facilities entered into with a commercial bank syndicate , the company is not allowed to pay cash dividends .

in addition , the company is precluded from paying cash dividends on its common stock under the terms of a guaranty to the utility customer in connection with the aes thames project in the event certain net worth and liquidity tests of the company are not met .

the ability of the company 2019s project subsidiaries to declare and pay cash dividends to the company is subject to certain limitations in the project loans , governmental provisions and other agreements entered into by such project subsidiaries .

securities authorized for issuance under equity compensation plans .

see the information contained under the caption 2018 2018securities authorized for issuance under equity compensation plans 2019 2019 of the proxy statement for the annual meeting of stockholders of the registrant to be held on may 1 , 2003 , which information is incorporated herein by reference. .

1	2002 first quarter	high $ 17.84	low $ 4.11	2001 first quarter	high $ 60.15	low $ 41.30

2	second quarter	9.17	3.55	second quarter	52.25	39.95

3	third quarter	4.61	1.56	third quarter	44.50	12.00

4	fourth quarter	3.57	0.95	fourth quarter	17.80	11.60

Question: what was the average high and low stock price for the second quarter of 2002?

Answer: 6.36


dish network corporation notes to consolidated financial statements - continued 9 .

acquisitions dbsd north america and terrestar transactions on march 2 , 2012 , the fcc approved the transfer of 40 mhz of aws-4 wireless spectrum licenses held by dbsd north america and terrestar to us .

on march 9 , 2012 , we completed the dbsd transaction and the terrestar transaction , pursuant to which we acquired , among other things , certain satellite assets and wireless spectrum licenses held by dbsd north america and terrestar .

in addition , during the fourth quarter 2011 , we and sprint entered into a mutual release and settlement agreement ( the 201csprint settlement agreement 201d ) pursuant to which all issues then being disputed relating to the dbsd transaction and the terrestar transaction were resolved between us and sprint , including , but not limited to , issues relating to costs allegedly incurred by sprint to relocate users from the spectrum then licensed to dbsd north america and terrestar .

the total consideration to acquire the dbsd north america and terrestar assets was approximately $ 2.860 billion .

this amount includes $ 1.364 billion for the dbsd transaction , $ 1.382 billion for the terrestar transaction , and the net payment of $ 114 million to sprint pursuant to the sprint settlement agreement .

as a result of these acquisitions , we recognized the acquired assets and assumed liabilities based on our estimates of fair value at their acquisition date , including $ 102 million in an uncertain tax position in 201clong-term deferred revenue , distribution and carriage payments and other long-term liabilities 201d on our consolidated balance sheets .

subsequently , in the third quarter 2013 , this uncertain tax position was resolved and $ 102 million was reversed and recorded as a decrease in 201cincome tax ( provision ) benefit , net 201d on our consolidated statements of operations and comprehensive income ( loss ) for the year ended december 31 , 2013 .

discontinued operations as of december 31 , 2013 , blockbuster had ceased all material operations .

accordingly , our consolidated balance sheets , consolidated statements of operations and comprehensive income ( loss ) and consolidated statements of cash flows have been recast to present blockbuster as discontinued operations for all periods presented and the amounts presented in the notes to our consolidated financial statements relate only to our continuing operations , unless otherwise noted .

during the years ended december 31 , 2013 , 2012 and 2011 , the revenue from our discontinued operations was $ 503 million , $ 1.085 billion and $ 974 million , respectively .

201cincome ( loss ) from discontinued operations , before income taxes 201d for the same periods was a loss of $ 54 million , $ 62 million and $ 3 million , respectively .

in addition , 201cincome ( loss ) from discontinued operations , net of tax 201d for the same periods was a loss of $ 47 million , $ 37 million and $ 7 million , respectively .

as of december 31 , 2013 , the net assets from our discontinued operations consisted of the following : december 31 , 2013 ( in thousands ) .

1		as of december 31 2013 ( in thousands )

2	current assets from discontinued operations	$ 68239

3	noncurrent assets from discontinued operations	9965

4	current liabilities from discontinued operations	-49471 ( 49471 )

5	long-term liabilities from discontinued operations	-19804 ( 19804 )

6	net assets from discontinued operations	$ 8929

Question: what is the tax expense related to discontinued operations in 2013?

Answer: 7.0


Question: what is the tax expense related to discontinued operations in 2012?

Answer: 25.0


market for registrant 2019s common equity , related stockholder matters and issuer purchases of equity securities our common stock is traded on the nasdaq global select market under the symbol cdns .

as of february 2 , 2019 , we had 523 registered stockholders and approximately 56000 beneficial owners of our common stock .

stockholder return performance graph the following graph compares the cumulative 5-year total stockholder return on our common stock relative to the cumulative total return of the nasdaq composite index , the s&p 500 index and the s&p 500 information technology index .

the graph assumes that the value of the investment in our common stock and in each index on december 28 , 2013 ( including reinvestment of dividends ) was $ 100 and tracks it each year thereafter on the last day of our fiscal year through december 29 , 2018 and , for each index , on the last day of the calendar year .

comparison of 5 year cumulative total return* among cadence design systems , inc. , the nasdaq composite index , the s&p 500 index and the s&p 500 information technology index 12/29/181/2/16 12/30/1712/28/13 12/31/161/3/15 *$ 100 invested on 12/28/13 in stock or index , including reinvestment of dividends .

copyright a9 2019 standard & poor 2019s , a division of s&p global .

nasdaq compositecadence design systems , inc .

s&p 500 s&p 500 information technology .

the stock price performance included in this graph is not necessarily indicative of future stock price performance. .

Question: what was the percentage cumulative 5-year total stockholder return for cadence design systems inc . for the period ending 12/29/2018?

Answer: 2.1113


at december 31 , 2015 and 2014 , we had a modest working capital surplus .

this reflects a strong cash position that provides enhanced liquidity in an uncertain economic environment .

in addition , we believe we have adequate access to capital markets to meet any foreseeable cash requirements , and we have sufficient financial capacity to satisfy our current liabilities .

operating activities cash provided by operating activities decreased in 2015 compared to 2014 due to lower net income and changes in working capital , partially offset by the timing of tax payments .

federal tax law provided for 100% ( 100 % ) bonus depreciation for qualified investments made during 2011 and 50% ( 50 % ) bonus depreciation for qualified investments made during 2012-2013 .

as a result , the company deferred a substantial portion of its 2011-2013 income tax expense , contributing to the positive operating cash flow in those years .

congress extended 50% ( 50 % ) bonus depreciation for 2014 , but this extension occurred in december , and the related benefit was realized in 2015 , rather than 2014 .

similarly , in december of 2015 , congress extended bonus depreciation through 2019 , which delayed the benefit of 2015 bonus depreciation into 2016 .

bonus depreciation will be at a rate of 50% ( 50 % ) for 2015 , 2016 and 2017 , 40% ( 40 % ) for 2018 and 30% ( 30 % ) for 2019 .

higher net income in 2014 increased cash provided by operating activities compared to 2013 , despite higher income tax payments .

2014 income tax payments were higher than 2013 primarily due to higher income , but also because we paid taxes previously deferred by bonus depreciation .

investing activities higher capital investments in locomotives and freight cars , including $ 327 million in early lease buyouts , which we exercised due to favorable economic terms and market conditions , drove the increase in cash used in investing activities in 2015 compared to 2014 .

higher capital investments , including the early buyout of the long-term operating lease of our headquarters building for approximately $ 261 million , drove the increase in cash used in investing activities in 2014 compared to 2013 .

significant investments also were made for new locomotives , freight cars and containers , and capacity and commercial facility projects .

capital investments in 2014 also included $ 99 million for the early buyout of locomotives and freight cars under long-term operating leases , which we exercised due to favorable economic terms and market conditions. .

1	millions	2015	2014	2013

2	cash provided by operating activities	$ 7344	$ 7385	$ 6823

3	cash used in investing activities	-4476 ( 4476 )	-4249 ( 4249 )	-3405 ( 3405 )

4	cash used in financing activities	-3063 ( 3063 )	-2982 ( 2982 )	-3049 ( 3049 )

5	net change in cash and cash equivalents	$ -195 ( 195 )	$ 154	$ 369

Question: what was the percentage change in cash provided by operating activities from 2013 to 2014?

Answer: 0.08237


notes to consolidated financial statements 2014 ( continued ) in connection with these discover related purchases , we have sold the contractual rights to future commissions on discover transactions to certain of our isos .

contractual rights sold totaled $ 7.6 million during the year ended may 31 , 2008 and $ 1.0 million during fiscal 2009 .

such sale proceeds are generally collected in installments over periods ranging from three to nine months .

during fiscal 2009 , we collected $ 4.4 million of such proceeds , which are included in the proceeds from sale of investment and contractual rights in our consolidated statement of cash flows .

we do not recognize gains on these sales of contractual rights at the time of sale .

proceeds are deferred and recognized as a reduction of the related commission expense .

during fiscal 2009 , we recognized $ 1.2 million of such deferred sales proceeds as other long-term liabilities .

other 2008 acquisitions during fiscal 2008 , we acquired a majority of the assets of euroenvios money transfer , s.a .

and euroenvios conecta , s.l. , which we collectively refer to as lfs spain .

lfs spain consisted of two privately- held corporations engaged in money transmittal and ancillary services from spain to settlement locations primarily in latin america .

the purpose of the acquisition was to further our strategy of expanding our customer base and market share by opening additional branch locations .

during fiscal 2008 , we acquired a series of money transfer branch locations in the united states .

the purpose of these acquisitions was to increase the market presence of our dolex-branded money transfer offering .

the following table summarizes the preliminary purchase price allocations of all these fiscal 2008 business acquisitions ( in thousands ) : .

the customer-related intangible assets have amortization periods of up to 14 years .

the contract-based intangible assets have amortization periods of 3 to 10 years .

these business acquisitions were not significant to our consolidated financial statements and accordingly , we have not provided pro forma information relating to these acquisitions .

in addition , during fiscal 2008 , we acquired a customer list and long-term merchant referral agreement in our canadian merchant services channel for $ 1.7 million .

the value assigned to the customer list of $ 0.1 million was expensed immediately .

the remaining value was assigned to the merchant referral agreement and is being amortized on a straight-line basis over its useful life of 10 years .

fiscal 2007 on july 24 , 2006 , we completed the purchase of a fifty-six percent ownership interest in the asia-pacific merchant acquiring business of the hongkong and shanghai banking corporation limited , or hsbc asia pacific .

this business provides card payment processing services to merchants in the asia-pacific region .

1		total

2	goodwill	$ 13536

3	customer-related intangible assets	4091

4	contract-based intangible assets	1031

5	property and equipment	267

6	other current assets	502

7	total assets acquired	19427

8	current liabilities	-2347 ( 2347 )

9	minority interest in equity of subsidiary ( at historical cost )	-486 ( 486 )

10	net assets acquired	$ 16594

Question: what percent of assets acquired by the acquisition are non-tangible assets?

Answer: 0.96042


international networks international networks generated revenues of $ 1637 million during 2012 , which represented 37% ( 37 % ) of our total consolidated revenues .

our international networks segment principally consists of national and pan-regional television networks .

this segment generates revenue from operations in virtually every pay-television market in the world through an infrastructure that includes operational centers in london , singapore and miami .

discovery channel , animal planet and tlc lead the international networks 2019 portfolio of television networks .

international networks has one of the largest international distribution platforms of networks with as many as fourteen networks in more than 200 countries and territories around the world .

at december 31 , 2012 , international networks operated over 180 unique distribution feeds in over 40 languages with channel feeds customized according to language needs and advertising sales opportunities .

international networks also has free-to-air networks in the u.k. , germany , italy and spain and continues to pursue international expansion .

our international networks segment owns and operates the following television networks which reached the following number of subscribers as of december 31 , 2012 : global networks international subscribers ( millions ) regional networks international subscribers ( millions ) .

on december 21 , 2012 , our international networks segment acquired 20% ( 20 % ) equity ownership interests in eurosport , a european sports satellite and cable network , and a portfolio of pay television networks from tf1 , a french media company , for $ 264 million , including transaction costs .

we have a call right that enables us to purchase a controlling interest in eurosport starting december 2014 and for one year thereafter .

if we exercise our call right , tf1 will have the right to put its remaining interest to us for one year thereafter .

the arrangement is intended to increase the growth of eurosport , which focuses on niche but regionally popular sports such as tennis , skiing , cycling and skating , and enhance our pay television offerings in france .

on december 28 , 2012 , we acquired switchover media , a group of five italian television channels with children's and entertainment programming .

( see note 3 to the accompanying consolidated financial statements. ) education education generated revenues of $ 105 million during 2012 , which represented 2% ( 2 % ) of our total consolidated revenues .

education is comprised of curriculum-based product and service offerings .

this segment generates revenues primarily from subscriptions charged to k-12 schools for access to an online suite of curriculum-based vod tools , professional development services , digital textbooks and , to a lesser extent , student assessments and publication of hardcopy curriculum-based content .

our education business also participates in global brand and content licensing and engages in partnerships with leading non-profits , corporations , foundations and trade associations .

content development our content development strategy is designed to increase viewership , maintain innovation and quality leadership , and provide value for our network distributors and advertising customers .

our content is sourced from a wide range of third-party producers , which include some of the world 2019s leading nonfiction production companies as well as independent producers .

our production arrangements fall into three categories : produced , coproduced and licensed .

substantially all produced content includes content that we engage third parties to develop and produce , while we retain editorial control and own most or all of the rights , in exchange for paying all development and production costs .

coproduced content refers to program rights that we have collaborated with third parties to finance and develop because at times world-wide rights are not available for acquisition or we save costs by collaborating with third parties .

licensed content is comprised of films or series that have been previously produced by third parties. .

1	global networks discovery channel	internationalsubscribers ( millions ) 246	regional networks dmax	internationalsubscribers ( millions ) 90

2	animal planet	183	discovery kids	61

3	tlc real time and travel & living	174	quest	26

4	discovery science	75	discovery history	13

5	investigation discovery	63	shed	12

6	discovery home & health	57	discovery en espanol ( u.s. )	5

7	turbo	42	discovery familia ( u.s )	4

8	discovery world	27

Question: what is the implied total value of the european sports satellite and cable network as of the transaction date?

Answer: 1320.0


directors , executive officers and corporate governance for the information required by this item 10 , other than information with respect to our executive officers contained at the end of part i , item 1 of this report , see 201celection of directors , 201d 201cnominees for election to the board of directors , 201d 201ccorporate governance 201d and 201csection 16 ( a ) beneficial ownership reporting compliance , 201d in the proxy statement for our 2016 annual meeting , which information is incorporated herein by reference .

the proxy statement for our 2016 annual meeting will be filed within 120 days of the close of our year .

for the information required by this item 10 with respect to our executive officers , see part i , item 1 .

executive compensation for the information required by this item 11 , see 201ccompensation discussion and analysis , 201d 201ccompensation committee report , 201d and 201cexecutive compensation 201d in the proxy statement for our 2016 annual meeting , which information is incorporated herein by reference .

security ownership of certain beneficial owners and management and related stockholder matters for the information required by this item 12 with respect to beneficial ownership of our common stock , see 201csecurity ownership of certain beneficial owners and management 201d in the proxy statement for our 2016 annual meeting , which information is incorporated herein by reference .

the following table sets forth certain information as of december 31 , 2015 regarding our equity plans : plan category number of securities to be issued upon exercise of outstanding options , warrants and rights weighted-average exercise price of outstanding options , warrants and rights number of securities remaining available for future issuance under equity compensation plans ( excluding securities reflected in column ( a ) ( b ) ( c ) equity compensation plans approved by security holders 1442912 $ 86.98 4446967 item 13 .

certain relationships and related transactions , and director independence for the information required by this item 13 , see 201ccertain transactions 201d and 201ccorporate governance 201d in the proxy statement for our 2016 annual meeting , which information is incorporated herein by reference .

principal accounting fees and services for the information required by this item 14 , see 201caudit and non-audit fees 201d and 201caudit committee pre-approval procedures 201d in the proxy statement for our 2016 annual meeting , which information is incorporated herein by reference. .

1	plan category	number of securitiesto be issued uponexercise ofoutstanding options warrants and rights ( a ) ( b )	weighted-averageexercise price ofoutstanding options warrants and rights	number of securitiesremaining available forfuture issuance underequity compensationplans ( excludingsecurities reflected in column ( a ) ) ( c )

2	equity compensation plans approved by security holders	1442912	$ 86.98	4446967

Question: what is the total value of the options , warrants and rights that remain available for future issuance , ( in millions ) ?

Answer: 386.79719


the future minimum lease commitments under these leases at december 31 , 2010 are as follows ( in thousands ) : years ending december 31: .

rental expense for operating leases was approximately $ 66.9 million , $ 57.2 million and $ 49.0 million during the years ended december 31 , 2010 , 2009 and 2008 , respectively .

in connection with the acquisitions of several businesses , we entered into agreements with several sellers of those businesses , some of whom became stockholders as a result of those acquisitions , for the lease of certain properties used in our operations .

typical lease terms under these agreements include an initial term of five years , with three to five five-year renewal options and purchase options at various times throughout the lease periods .

we also maintain the right of first refusal concerning the sale of the leased property .

lease payments to an employee who became an officer of the company after the acquisition of his business were approximately $ 1.0 million , $ 0.9 million and $ 0.9 million during each of the years ended december 31 , 2010 , 2009 and 2008 , respectively .

we guarantee the residual values of the majority of our truck and equipment operating leases .

the residual values decline over the lease terms to a defined percentage of original cost .

in the event the lessor does not realize the residual value when a piece of equipment is sold , we would be responsible for a portion of the shortfall .

similarly , if the lessor realizes more than the residual value when a piece of equipment is sold , we would be paid the amount realized over the residual value .

had we terminated all of our operating leases subject to these guarantees at december 31 , 2010 , the guaranteed residual value would have totaled approximately $ 31.4 million .

we have not recorded a liability for the guaranteed residual value of equipment under operating leases as the recovery on disposition of the equipment under the leases is expected to approximate the guaranteed residual value .

litigation and related contingencies in december 2005 and may 2008 , ford global technologies , llc filed complaints with the international trade commission against us and others alleging that certain aftermarket parts imported into the u.s .

the parties settled these matters in april 2009 pursuant to a settlement arrangement that expires in september 2011 .

pursuant to the settlement , we ( and our designees ) became the sole distributor in the u.s .

of aftermarket automotive parts that correspond to ford collision parts that are covered by a u.s .

we have paid ford an upfront fee for these rights and will pay a royalty for each such part we sell .

the amortization of the upfront fee and the royalty expenses are reflected in cost of goods sold on the accompanying consolidated statements of income .

we also have certain other contingencies resulting from litigation , claims and other commitments and are subject to a variety of environmental and pollution control laws and regulations incident to the ordinary course of business .

we currently expect that the resolution of such contingencies will not materially affect our financial position , results of operations or cash flows. .

Question: what was the percentage change in rental expense for operating leases from 2008 to 2009?

Answer: 0.16735


market street commitments by credit rating ( a ) december 31 , december 31 .

( a ) the majority of our facilities are not explicitly rated by the rating agencies .

all facilities are structured to meet rating agency standards for applicable rating levels .

we evaluated the design of market street , its capital structure , the note , and relationships among the variable interest holders .

based on this analysis and under accounting guidance effective during 2009 and 2008 , we are not the primary beneficiary and therefore the assets and liabilities of market street are not included on our consolidated balance sheet .

we considered changes to the variable interest holders ( such as new expected loss note investors and changes to program- level credit enhancement providers ) , terms of expected loss notes , and new types of risks related to market street as reconsideration events .

we reviewed the activities of market street on at least a quarterly basis to determine if a reconsideration event has occurred .

tax credit investments we make certain equity investments in various limited partnerships or limited liability companies ( llcs ) that sponsor affordable housing projects utilizing the low income housing tax credit ( lihtc ) pursuant to sections 42 and 47 of the internal revenue code .

the purpose of these investments is to achieve a satisfactory return on capital , to facilitate the sale of additional affordable housing product offerings and to assist us in achieving goals associated with the community reinvestment act .

the primary activities of the investments include the identification , development and operation of multi-family housing that is leased to qualifying residential tenants .

generally , these types of investments are funded through a combination of debt and equity .

we typically invest in these partnerships as a limited partner or non-managing member .

also , we are a national syndicator of affordable housing equity ( together with the investments described above , the 201clihtc investments 201d ) .

in these syndication transactions , we create funds in which our subsidiaries are the general partner or managing member and sell limited partnership or non-managing member interests to third parties , and in some cases may also purchase a limited partnership or non-managing member interest in the fund .

the purpose of this business is to generate income from the syndication of these funds , generate servicing fees by managing the funds , and earn tax credits to reduce our tax liability .

general partner or managing member activities include selecting , evaluating , structuring , negotiating , and closing the fund investments in operating limited partnerships , as well as oversight of the ongoing operations of the fund portfolio .

we evaluate our interests and third party interests in the limited partnerships/llcs in determining whether we are the primary beneficiary .

the primary beneficiary determination is based on which party absorbs a majority of the variability .

the primary sources of variability in lihtc investments are the tax credits , tax benefits due to passive losses on the investments and development and operating cash flows .

we have consolidated lihtc investments in which we absorb a majority of the variability and thus are considered the primary beneficiary .

the assets are primarily included in equity investments and other assets on our consolidated balance sheet with the liabilities classified in other liabilities and third party investors 2019 interests included in the equity section as noncontrolling interests .

neither creditors nor equity investors in the lihtc investments have any recourse to our general credit .

the consolidated aggregate assets and liabilities of these lihtc investments are provided in the consolidated vies 2013 pnc is primary beneficiary table and reflected in the 201cother 201d business segment .

we also have lihtc investments in which we are not the primary beneficiary , but are considered to have a significant variable interest based on our interests in the partnership/llc .

these investments are disclosed in the non-consolidated vies 2013 significant variable interests table .

the table also reflects our maximum exposure to loss .

our maximum exposure to loss is equal to our legally binding equity commitments adjusted for recorded impairment and partnership results .

we use the equity and cost methods to account for our investment in these entities with the investments reflected in equity investments on our consolidated balance sheet .

in addition , we increase our recognized investments and recognize a liability for all legally binding unfunded equity commitments .

these liabilities are reflected in other liabilities on our consolidated balance sheet .

credit risk transfer transaction national city bank , ( a former pnc subsidiary which merged into pnc bank , n.a .

in november 2009 ) sponsored a special purpose entity ( spe ) and concurrently entered into a credit risk transfer agreement with an independent third party to mitigate credit losses on a pool of nonconforming mortgage loans originated by its former first franklin business unit .

the spe was formed with a small equity contribution and was structured as a bankruptcy-remote entity so that its creditors have no recourse to us .

in exchange for a perfected security interest in the cash flows of the nonconforming mortgage loans , the spe issued to us asset-backed securities in the form of senior , mezzanine , and subordinated equity notes .

the spe was deemed to be a vie as its equity was not sufficient to finance its activities .

we were determined to be the primary beneficiary of the spe as we would absorb the majority of the expected losses of the spe through our holding of the asset-backed securities .

accordingly , this spe was consolidated and all of the entity 2019s assets , liabilities , and .

Question: what is the average percentage for aaa rated facilities in 2008 and 2009?

Answer: 16.5


stock price performance the following graph shows a comparison of the cumulative total return on our common stock , the standard & poor's 500 index and the standard & poor's 500 retail index .

the graph assumes that the value of an investment in our common stock and in each such index was $ 100 on december 30 , 2006 , and that any dividends have been reinvested .

the comparison in the graph below is based solely on historical data and is not intended to forecast the possible future performance of our common stock .

comparison of cumulative total return among advance auto parts , inc. , s&p 500 index and s&p 500 retail index company/index advance auto parts s&p 500 index s&p retail index december 30 , $ 100.00 100.00 100.00 december 29 , $ 108.00 104.24 january 3 , $ 97.26 january 2 , $ 116.01 january 1 , $ 190.41 101.84 december 31 , $ 201.18 104.81 .

Question: what is the roi of an investment in s&p500 index from 2006 to january 3 , 2009?

Answer: -0.343


masco corporation notes to consolidated financial statements ( continued ) h .

goodwill and other intangible assets ( continued ) goodwill at december 31 , accumulated impairment losses goodwill at december 31 , 2010 additions ( a ) discontinued operations ( b ) pre-tax impairment charge other ( c ) goodwill at december 31 , cabinets and related products .

( b ) during 2011 , the company reclassified the goodwill related to the business units held for sale .

subsequent to the reclassification , the company recognized a charge for those business units expected to be divested at a loss ; the charge included a write-down of goodwill of $ 13 million .

( c ) other principally includes the effect of foreign currency translation and purchase price adjustments related to prior-year acquisitions .

in the fourth quarters of 2012 and 2011 , the company completed its annual impairment testing of goodwill and other indefinite-lived intangible assets .

the impairment test in 2012 indicated there was no impairment of goodwill for any of the company 2019s reporting units .

the impairment test in 2011 indicated that goodwill recorded for certain of the company 2019s reporting units was impaired .

the company recognized the non-cash , pre-tax impairment charges , in continuing operations , for goodwill of $ 486 million ( $ 330 million , after tax ) for 2011 .

in 2011 , the pre-tax impairment charge in the cabinets and related products segment relates to the european ready-to- assemble cabinet manufacturer and reflects the declining demand for certain products , as well as decreased operating margins .

the pre-tax impairment charge in the decorative architectural products segment relates to the builders 2019 hardware business and reflects increasing competitive conditions for that business .

the pre-tax impairment charge in the other specialty products segment relates to the north american window and door business and reflects the continuing weak level of new home construction activity in the western u.s. , the reduced levels of repair and remodel activity and the expectation that recovery in these segments will be modestly slower than anticipated .

the company then assessed the long-lived assets associated with these business units and determined no impairment was necessary at december 31 , 2011 .

other indefinite-lived intangible assets were $ 132 million and $ 174 million at december 31 , 2012 and 2011 , respectively , and principally included registered trademarks .

in 2012 and 2011 , the impairment test indicated that the registered trademark for a north american business unit in the other specialty products segment and the registered trademark for a north american business unit in the plumbing products segment ( 2011 only ) were impaired due to changes in the long-term outlook for the business units .

the company recognized non-cash , pre-tax impairment charges for other indefinite- lived intangible assets of $ 42 million ( $ 27 million , after tax ) and $ 8 million ( $ 5 million , after tax ) in 2012 and 2011 , respectively .

in 2010 , the company recognized non-cash , pre-tax impairment charges for other indefinite-lived intangible assets of $ 10 million ( $ 6 million after tax ) related to the installation and other services segment ( $ 9 million pre-tax ) and the plumbing products segment ( $ 1 million pre-tax ) . .

1		gross goodwill at december 31 2010	accumulated impairment losses	net goodwill at december 31 2010	additions ( a )	discontinued operations ( b )	pre-tax impairment charge	other ( c )	net goodwill at december 31 2011

2	cabinets and related products	$ 587	$ -364 ( 364 )	$ 223	$ 2014	$ 2014	$ -44 ( 44 )	$ 2	$ 181

3	plumbing products	536	-340 ( 340 )	196	9	2014	2014	-4 ( 4 )	201

4	installation and other services	1819	-762 ( 762 )	1057	2014	-13 ( 13 )	2014	2014	1044

5	decorative architectural products	294	2014	294	2014	2014	-75 ( 75 )	2014	219

6	other specialty products	980	-367 ( 367 )	613	2014	2014	-367 ( 367 )	2014	246

7	total	$ 4216	$ -1833 ( 1833 )	$ 2383	$ 9	$ -13 ( 13 )	$ -486 ( 486 )	$ -2 ( 2 )	$ 1891

Question: what was the percentage change in total net goodwill between 2010 and 2011?

Answer: -0.20646


Question: what percentage of net goodwill at december 31 2011 is comprised of

Answer: 0.09572


company has a contingent liability relating to proper disposition of these balances , which amounted to $ 1926.8 mil- lion at december 31 , 2007 .

as a result of holding these customers 2019 assets in escrow , the company has ongoing programs for realizing economic benefits during the year through favorable borrowing and vendor arrangements with various banks .

there were no loans outstanding as of december 31 , 2007 and these balances were invested in short term , high grade investments that minimize the risk to principal .

leases the company leases certain of its property under leases which expire at various dates .

several of these agreements include escalation clauses and provide for purchases and renewal options for periods ranging from one to five years .

future minimum operating lease payments for leases with remaining terms greater than one year for each of the years in the five years ending december 31 , 2012 , and thereafter in the aggregate , are as follows ( in thousands ) : .

in addition , the company has operating lease commitments relating to office equipment and computer hardware with annual lease payments of approximately $ 16.0 million per year which renew on a short-term basis .

rent expense incurred under all operating leases during the years ended december 31 , 2007 , 2006 and 2005 was $ 106.4 million , $ 81.5 million and $ 61.1 million , respectively .

data processing and maintenance services agreements .

the company has agreements with various vendors , which expire between 2008 and 2017 , for portions of its computer data processing operations and related functions .

the company 2019s estimated aggregate contractual obligation remaining under these agreements was approximately $ 888.3 million as of december 31 , 2007 .

however , this amount could be more or less depending on various factors such as the inflation rate , the introduction of significant new technologies , or changes in the company 2019s data processing needs .

( 17 ) employee benefit plans stock purchase plan prior to the certegy merger ( note 6 ) , fis employees participated in the fidelity national financial , inc .

subsequent to the certegy merger , the company instituted its own plan with the same terms as the fidelity national financial , inc .

under the terms of both plans and subsequent amendments , eligible employees may voluntarily purchase , at current market prices , shares of fnf 2019s ( prior to the certegy merger ) or fis 2019s ( post certegy merger ) common stock through payroll deductions .

pursuant to the espp , employees may contribute an amount between 3% ( 3 % ) and 15% ( 15 % ) of their base salary and certain commissions .

shares purchased are allocated to employees based upon their contributions .

the company contributes varying matching amounts as specified in the espp .

the company recorded an expense of $ 15.2 million , $ 13.1 million and $ 11.1 million , respectively , for the years ended december 31 , 2007 , 2006 and 2005 relating to the participation of fis employees in the espp .

fidelity national information services , inc .

and subsidiaries and affiliates notes to consolidated and combined financial statements 2014 ( continued ) .

Question: what is the percentage change in rent expense from 2006 yo 2007?

Answer: 0.30552


2022 a financial safeguard package for cleared over-the-counter credit default swap contracts , and 2022 a financial safeguard package for cleared over-the-counter interest rate swap contracts .

in the unlikely event of a payment default by a clearing firm , we would first apply assets of the defaulting clearing firm to satisfy its payment obligation .

these assets include the defaulting firm 2019s guaranty fund contributions , performance bonds and any other available assets , such as assets required for membership and any associated trading rights .

in addition , we would make a demand for payment pursuant to any applicable guarantee provided to us by the parent company of the clearing firm .

thereafter , if the payment default remains unsatisfied , we would use the corporate contributions designated for the respective financial safeguard package .

we would then use guaranty fund contributions of other clearing firms within the respective financial safeguard package and funds collected through an assessment against solvent clearing firms within the respective financial safeguard package to satisfy the deficit .

we maintain a $ 5.0 billion 364-day multi-currency line of credit with a consortium of domestic and international banks to be used in certain situations by cme clearing .

we have the option to request an increase in the line from $ 5.0 billion to $ 7.0 billion .

we may use the proceeds to provide temporary liquidity in the unlikely event of a clearing firm default , in the event of a liquidity constraint or default by a depositary ( custodian of the collateral ) , or in the event of a temporary disruption with the payments systems that would delay payment of settlement variation between us and our clearing firms .

the credit agreement requires us to pledge certain assets to the line of credit custodian prior to drawing on the line of credit .

pledged assets may include clearing firm guaranty fund deposits held by us in the form of u.s .

treasury or agency securities , as well as select money market mutual funds approved for our select interest earning facility ( ief ) programs .

performance bond collateral of a defaulting clearing firm may also be used to secure a draw on the line .

in addition to the 364-day multi- currency line of credit , we also have the option to use our $ 1.8 billion multi-currency revolving senior credit facility to provide liquidity for our clearing house in the unlikely event of default .

aggregate performance bond deposits for clearing firms for all three cme financial safeguard packages was $ 86.8 billion , including $ 5.6 billion of cash performance bond deposits and $ 4.2 billion of letters of credit .

a defaulting firm 2019s performance bond deposits can be used in the event of default of that clearing firm .

the following shows the available assets at december 31 , 2012 in the event of a payment default by a clearing firm for the base financial safeguard package after first utilizing the defaulting firm 2019s available assets : ( in millions ) cme clearing available assets designated corporate contributions for futures and options ( 1 ) .

$ 100.0 guaranty fund contributions ( 2 ) .

7973.6 minimum total assets available for default ( 4 ) .

$ 10973.1 ( 1 ) cme clearing designates $ 100.0 million of corporate contributions to satisfy a clearing firm default in the event that the defaulting clearing firm 2019s guaranty contributions and performance bonds do not satisfy the deficit .

( 2 ) guaranty fund contributions of clearing firms include guaranty fund contributions required of clearing firms , but do not include any excess deposits held by us at the direction of clearing firms .

( 3 ) in the event of a clearing firm default , if a loss continues to exist after the utilization of the assets of the defaulted firm , our designated working capital and the non-defaulting clearing firms 2019 guaranty fund contributions , we have the right to assess all non-defaulting clearing members as defined in the rules governing the guaranty fund .

( 4 ) represents the aggregate minimum resources available to satisfy any obligations not met by a defaulting firm subsequent to the liquidation of the defaulting firm 2019s performance bond collateral. .

1	( in millions )	cme clearingavailable assets

2	designated corporate contributions for futures and options ( 1 )	$ 100.0

3	guaranty fund contributions ( 2 )	2899.5

4	assessment powers ( 3 )	7973.6

5	minimum total assets available for default ( 4 )	$ 10973.1

Question: what is the percent of available potential to increase the multi-currency line of credit

Answer: 0.4


the table below details cash capital investments for the years ended december 31 , 2006 , 2005 , and 2004 .

in 2007 , we expect our total capital investments to be approximately $ 3.2 billion , which may include long- term leases .

these investments will be used to maintain track and structures , continue capacity expansions on our main lines in constrained corridors , remove bottlenecks , upgrade and augment equipment to better meet customer needs , build and improve facilities and terminals , and develop and implement new technologies .

we designed these investments to maintain infrastructure for safety , enhance customer service , promote growth , and improve operational fluidity .

we expect to fund our 2007 cash capital investments through cash generated from operations , the sale or lease of various operating and non-operating properties , and cash on hand at december 31 , 2006 .

we expect that these sources will continue to provide sufficient funds to meet our expected capital requirements for 2007 .

for the years ended december 31 , 2006 , 2005 , and 2004 , our ratio of earnings to fixed charges was 4.4 , 2.9 , and 2.1 , respectively .

the increases in 2006 and 2005 were driven by higher net income .

the ratio of earnings to fixed charges was computed on a consolidated basis .

earnings represent income from continuing operations , less equity earnings net of distributions , plus fixed charges and income taxes .

fixed charges represent interest charges , amortization of debt discount , and the estimated amount representing the interest portion of rental charges .

see exhibit 12 for the calculation of the ratio of earnings to fixed charges .

financing activities credit facilities 2013 on december 31 , 2006 , we had $ 2 billion in revolving credit facilities available , including $ 1 billion under a five-year facility expiring in march 2009 and $ 1 billion under a five-year facility expiring in march 2010 ( collectively , the "facilities" ) .

the facilities are designated for general corporate purposes and support the issuance of commercial paper .

neither of the facilities were drawn on in 2006 .

commitment fees and interest rates payable under the facilities are similar to fees and rates available to comparably rated investment-grade borrowers .

these facilities allow for borrowings at floating rates based on london interbank offered rates , plus a spread , depending upon our senior unsecured debt ratings .

the facilities require the maintenance of a minimum net worth and a debt to net worth coverage ratio .

at december 31 , 2006 , we were in compliance with these covenants .

the facilities do not include any other financial restrictions , credit rating triggers ( other than rating-dependent pricing ) , or any other provision that could require the posting of collateral .

in addition to our revolving credit facilities , we had $ 150 million in uncommitted lines of credit available , including $ 75 million that expires in march 2007 and $ 75 million expiring in may 2007 .

neither of these lines of credit were used as of december 31 , 2006 .

we must have equivalent credit available under our five-year facilities to draw on these $ 75 million lines .

dividends 2013 on january 30 , 2007 , we increased the quarterly dividend to $ 0.35 per share , payable beginning on april 2 , 2007 , to shareholders of record on february 28 , 2007 .

we expect to fund the increase in the quarterly dividend through cash generated from operations , the sale or lease of various operating and non-operating properties , and cash on hand at december 31 , 2006 .

dividend restrictions 2013 we are subject to certain restrictions related to the payment of cash dividends to our shareholders due to minimum net worth requirements under our credit facilities .

1	millions of dollars	2006	2005	2004

2	track	$ 1487	$ 1472	$ 1328

3	capacity and commercial facilities	510	509	347

4	locomotives and freight cars	135	98	125

5	other	110	90	76

6	total	$ 2242	$ 2169	$ 1876

Question: what was the percentage change in cash capital investments in track from 2005 to 2006?

Answer: 0.01019


conditions and changes to regulatory capital requirements under basel iii capital standards .

beginning in 2014 , other comprehensive income related to available for sale securities ( as well as pension and other post-retirement plans ) are included in pnc 2019s regulatory capital ( subject to a phase-in schedule ) and , therefore will affect pnc 2019s regulatory capital ratios .

for additional information , see the supervision and regulation section in item 1 2013 business and the capital portion of the balance sheet review section in this item 7 of this report .

the duration of investment securities was 2.9 years at december 31 , 2013 .

we estimate that , at december 31 , 2013 , the effective duration of investment securities was 3.0 years for an immediate 50 basis points parallel increase in interest rates and 2.8 years for an immediate 50 basis points parallel decrease in interest rates .

comparable amounts at december 31 , 2012 were 2.3 years and 2.2 years , respectively .

we conduct a quarterly comprehensive security-level impairment assessment on all securities .

for securities in an unrealized loss position , we determine whether the loss represents otti .

for debt securities that we neither intend to sell nor believe we will be required to sell prior to expected recovery , we recognize the credit portion of otti charges in current earnings and include the noncredit portion of otti in net unrealized gains ( losses ) on otti securities on our consolidated statement of comprehensive income and net of tax in accumulated other comprehensive income ( loss ) on our consolidated balance sheet .

during 2013 and 2012 we recognized otti credit losses of $ 16 million and $ 111 million , respectively .

substantially all of the credit losses related to residential mortgage-backed and asset-backed securities collateralized by non-agency residential loans .

if current housing and economic conditions were to deteriorate from current levels , and if market volatility and illiquidity were to deteriorate from current levels , or if market interest rates were to increase or credit spreads were to widen appreciably , the valuation of our investment securities portfolio could be adversely affected and we could incur additional otti credit losses that would impact our consolidated income statement .

additional information regarding our investment securities is included in note 8 investment securities and note 9 fair value in the notes to consolidated financial statements included in item 8 of this report .

loans held for sale table 15 : loans held for sale in millions december 31 december 31 .

for commercial mortgages held for sale designated at fair value , we stopped originating these and continue to pursue opportunities to reduce these positions .

at december 31 , 2013 , the balance relating to these loans was $ 586 million compared to $ 772 million at december 31 , 2012 .

for commercial mortgages held for sale carried at lower of cost or fair value , we sold $ 2.8 billion in 2013 compared to $ 2.2 billion in 2012 .

all of these loan sales were to government agencies .

total gains of $ 79 million were recognized on the valuation and sale of commercial mortgage loans held for sale , net of hedges , in 2013 , and $ 41 million in 2012 .

residential mortgage loan origination volume was $ 15.1 billion in 2013 compared to $ 15.2 billion in 2012 .

substantially all such loans were originated under agency or federal housing administration ( fha ) standards .

we sold $ 14.7 billion of loans and recognized related gains of $ 568 million in 2013 .

the comparable amounts for 2012 were $ 13.8 billion and $ 747 million , respectively .

interest income on loans held for sale was $ 157 million in 2013 and $ 168 million in 2012 .

these amounts are included in other interest income on our consolidated income statement .

additional information regarding our loan sale and servicing activities is included in note 3 loan sales and servicing activities and variable interest entities and note 9 fair value in our notes to consolidated financial statements included in item 8 of this report .

goodwill and other intangible assets goodwill and other intangible assets totaled $ 11.3 billion at december 31 , 2013 and $ 10.9 billion at december 31 , 2012 .

the increase of $ .4 billion was primarily due to additions to and changes in value of mortgage and other loan servicing rights .

see additional information regarding our goodwill and intangible assets in note 10 goodwill and other intangible assets included in the notes to consolidated financial statements in item 8 of this report .

44 the pnc financial services group , inc .

1	in millions	december 312013	december 312012

2	commercial mortgages at fair value	$ 586	$ 772

3	commercial mortgages at lower of cost or fair value	281	620

4	total commercial mortgages	867	1392

5	residential mortgages at fair value	1315	2096

6	residential mortgages at lower of cost or fair value	41	124

7	total residential mortgages	1356	2220

8	other	32	81

9	total	$ 2255	$ 3693

Question: in 2013 what was the change in total residential mortgages in millions?

Answer: -864.0


Question: in millions what was total residential mortgages balance for 2013 and 2012?

Answer: 3576.0


mastercard incorporated notes to consolidated financial statements 2014 ( continued ) ( in thousands , except percent and per share data ) on june 24 , 2008 , mastercard entered into a settlement agreement ( the 201camerican express settlement 201d ) with american express company ( 201camerican express 201d ) relating to the u.s .

federal antitrust litigation between mastercard and american express .

the american express settlement ended all existing litigation between mastercard and american express .

under the terms of the american express settlement , mastercard is obligated to make 12 quarterly payments of up to $ 150000 per quarter beginning in the third quarter of 2008 .

mastercard 2019s maximum nominal payments will total $ 1800000 .

the amount of each quarterly payment is contingent on the performance of american express 2019s u.s .

the quarterly payments will be in an amount equal to 15% ( 15 % ) of american express 2019s u.s .

global network services billings during the quarter , up to a maximum of $ 150000 per quarter .

if , however , the payment for any quarter is less than $ 150000 , the maximum payment for subsequent quarters will be increased by the difference between $ 150000 and the lesser amount that was paid in any quarter in which there was a shortfall .

mastercard assumes american express will achieve these financial hurdles .

mastercard recorded the present value of $ 1800000 , at a 5.75% ( 5.75 % ) discount rate , or $ 1649345 for the year ended december 31 , 2008 .

in 2003 , mastercard entered into a settlement agreement ( the 201cu.s .

merchant lawsuit settlement 201d ) related to the u.s .

merchant lawsuit described under the caption 201cu.s .

merchant and consumer litigations 201d in note 20 ( legal and regulatory proceedings ) and contract disputes with certain customers .

merchant lawsuit settlement , the company was required to pay $ 125000 in 2003 and $ 100000 annually each december from 2004 through 2012 .

in addition , in 2003 , several other lawsuits were initiated by merchants who opted not to participate in the plaintiff class in the u.s .

the 201copt-out 201d merchant lawsuits were not covered by the terms of the u.s .

merchant lawsuit settlement and all have been individually settled .

we recorded liabilities for certain litigation settlements in prior periods .

total liabilities for litigation settlements changed from december 31 , 2006 , as follows: .

see note 20 ( legal and regulatory proceedings ) for additional discussion regarding the company 2019s legal proceedings. .

1	balance as of december 31 2006	$ 476915

2	provision for litigation settlements ( note 20 )	3400

3	interest accretion on u.s . merchant lawsuit	38046

4	payments	-113925 ( 113925 )

5	balance as of december 31 2007	404436

6	provision for discover settlement	862500

7	provision for american express settlement	1649345

8	provision for other litigation settlements	6000

9	interest accretion on u.s . merchant lawsuit settlement	32879

10	interest accretion on american express settlement	44300

11	payments on american express settlement	-300000 ( 300000 )

12	payments on discover settlement	-862500 ( 862500 )

13	payment on u.s . merchant lawsuit settlement	-100000 ( 100000 )

14	other payments and accretion	-662 ( 662 )

15	balance as of december 31 2008	$ 1736298

Question: what is the percentage change in total liabilities for litigation settlements from 2006 to 2007?

Answer: -0.15197


2011 compared to 2010 mst 2019s net sales for 2011 decreased $ 311 million , or 4% ( 4 % ) , compared to 2010 .

the decrease was attributable to decreased volume of approximately $ 390 million for certain ship and aviation system programs ( primarily maritime patrol aircraft and ptds ) and approximately $ 75 million for training and logistics solutions programs .

partially offsetting these decreases was higher sales of about $ 165 million from production on the lcs program .

mst 2019s operating profit for 2011 decreased $ 68 million , or 10% ( 10 % ) , compared to 2010 .

the decrease was attributable to decreased operating profit of approximately $ 55 million as a result of increased reserves for contract cost matters on various ship and aviation system programs ( including the terminated presidential helicopter program ) and approximately $ 40 million due to lower volume and increased reserves on training and logistics solutions .

partially offsetting these decreases was higher operating profit of approximately $ 30 million in 2011 primarily due to the recognition of reserves on certain undersea systems programs in 2010 .

adjustments not related to volume , including net profit rate adjustments described above , were approximately $ 55 million lower in 2011 compared to 2010 .

backlog backlog increased in 2012 compared to 2011 mainly due to increased orders on ship and aviation system programs ( primarily mh-60 and lcs ) , partially offset decreased orders and higher sales volume on integrated warfare systems and sensors programs ( primarily aegis ) .

backlog decreased slightly in 2011 compared to 2010 primarily due to higher sales volume on various integrated warfare systems and sensors programs .

trends we expect mst 2019s net sales to decline in 2013 in the low single digit percentage range as compared to 2012 due to the completion of ptds deliveries in 2012 and expected lower volume on training services programs .

operating profit and margin are expected to increase slightly from 2012 levels primarily due to anticipated improved contract performance .

space systems our space systems business segment is engaged in the research and development , design , engineering , and production of satellites , strategic and defensive missile systems , and space transportation systems .

space systems is also responsible for various classified systems and services in support of vital national security systems .

space systems 2019 major programs include the space-based infrared system ( sbirs ) , advanced extremely high frequency ( aehf ) system , mobile user objective system ( muos ) , global positioning satellite ( gps ) iii system , geostationary operational environmental satellite r-series ( goes-r ) , trident ii d5 fleet ballistic missile , and orion .

operating results for our space systems business segment include our equity interests in united launch alliance ( ula ) , which provides expendable launch services for the u.s .

government , united space alliance ( usa ) , which provided processing activities for the space shuttle program and is winding down following the completion of the last space shuttle mission in 2011 , and a joint venture that manages the u.k . 2019s atomic weapons establishment program .

space systems 2019 operating results included the following ( in millions ) : .

2012 compared to 2011 space systems 2019 net sales for 2012 increased $ 186 million , or 2% ( 2 % ) , compared to 2011 .

the increase was attributable to higher net sales of approximately $ 150 million due to increased commercial satellite deliveries ( two commercial satellites delivered in 2012 compared to one during 2011 ) ; about $ 125 million from the orion program due to higher volume and an increase in risk retirements ; and approximately $ 70 million from increased volume on various strategic and defensive missile programs .

partially offsetting the increases were lower net sales of approximately $ 105 million from certain government satellite programs ( primarily sbirs and muos ) as a result of decreased volume and a decline in risk retirements ; and about $ 55 million from the nasa external tank program , which ended in connection with the completion of the space shuttle program in 2011. .

Question: what is the growth rate in operating profit for space systems in 2012?

Answer: 0.01881


2011 compared to 2010 mst 2019s net sales for 2011 decreased $ 311 million , or 4% ( 4 % ) , compared to 2010 .

the decrease was attributable to decreased volume of approximately $ 390 million for certain ship and aviation system programs ( primarily maritime patrol aircraft and ptds ) and approximately $ 75 million for training and logistics solutions programs .

partially offsetting these decreases was higher sales of about $ 165 million from production on the lcs program .

mst 2019s operating profit for 2011 decreased $ 68 million , or 10% ( 10 % ) , compared to 2010 .

the decrease was attributable to decreased operating profit of approximately $ 55 million as a result of increased reserves for contract cost matters on various ship and aviation system programs ( including the terminated presidential helicopter program ) and approximately $ 40 million due to lower volume and increased reserves on training and logistics solutions .

partially offsetting these decreases was higher operating profit of approximately $ 30 million in 2011 primarily due to the recognition of reserves on certain undersea systems programs in 2010 .

adjustments not related to volume , including net profit rate adjustments described above , were approximately $ 55 million lower in 2011 compared to 2010 .

backlog backlog increased in 2012 compared to 2011 mainly due to increased orders on ship and aviation system programs ( primarily mh-60 and lcs ) , partially offset decreased orders and higher sales volume on integrated warfare systems and sensors programs ( primarily aegis ) .

backlog decreased slightly in 2011 compared to 2010 primarily due to higher sales volume on various integrated warfare systems and sensors programs .

trends we expect mst 2019s net sales to decline in 2013 in the low single digit percentage range as compared to 2012 due to the completion of ptds deliveries in 2012 and expected lower volume on training services programs .

operating profit and margin are expected to increase slightly from 2012 levels primarily due to anticipated improved contract performance .

space systems our space systems business segment is engaged in the research and development , design , engineering , and production of satellites , strategic and defensive missile systems , and space transportation systems .

space systems is also responsible for various classified systems and services in support of vital national security systems .

space systems 2019 major programs include the space-based infrared system ( sbirs ) , advanced extremely high frequency ( aehf ) system , mobile user objective system ( muos ) , global positioning satellite ( gps ) iii system , geostationary operational environmental satellite r-series ( goes-r ) , trident ii d5 fleet ballistic missile , and orion .

operating results for our space systems business segment include our equity interests in united launch alliance ( ula ) , which provides expendable launch services for the u.s .

government , united space alliance ( usa ) , which provided processing activities for the space shuttle program and is winding down following the completion of the last space shuttle mission in 2011 , and a joint venture that manages the u.k . 2019s atomic weapons establishment program .

space systems 2019 operating results included the following ( in millions ) : .

Question: what was the ratio of the decreases in the net sales to the operating profit for mst from 2010 to 2011

Answer: 4.57353


equity compensation plan information the following table presents the equity securities available for issuance under our equity compensation plans as of december 31 , 2017 .

equity compensation plan information plan category number of securities to be issued upon exercise of outstanding options , warrants and rights ( 1 ) weighted-average exercise price of outstanding options , warrants and rights number of securities remaining available for future issuance under equity compensation plans ( excluding securities reflected in column ( a ) ) ( a ) ( b ) ( c ) equity compensation plans approved by security holders 448859 $ 0.00 4087587 equity compensation plans not approved by security holders ( 2 ) 2014 2014 2014 .

( 1 ) includes grants made under the huntington ingalls industries , inc .

2012 long-term incentive stock plan ( the "2012 plan" ) , which was approved by our stockholders on may 2 , 2012 , and the huntington ingalls industries , inc .

2011 long-term incentive stock plan ( the "2011 plan" ) , which was approved by the sole stockholder of hii prior to its spin-off from northrop grumman corporation .

of these shares , 27123 were stock rights granted under the 2011 plan .

in addition , this number includes 28763 stock rights , 3075 restricted stock rights , and 389898 restricted performance stock rights granted under the 2012 plan , assuming target performance achievement .

( 2 ) there are no awards made under plans not approved by security holders .

certain relationships and related transactions , and director independence information as to certain relationships and related transactions and director independence will be incorporated herein by reference to the proxy statement for our 2018 annual meeting of stockholders , to be filed within 120 days after the end of the company 2019s fiscal year .

principal accountant fees and services information as to principal accountant fees and services will be incorporated herein by reference to the proxy statement for our 2018 annual meeting of stockholders , to be filed within 120 days after the end of the company 2019s fiscal year. .

1	plan category	number of securities to be issued upon exercise of outstanding options warrants and rights ( 1 ) ( a ) ( b )	weighted-average exercise price of outstanding optionswarrants and rights	number of securities remaining available for future issuance under equity compensation plans ( excluding securitiesreflected in column ( a ) ) ( c )

2	equity compensation plans approved by security holders	448859	$ 0.00	4087587

3	equity compensation plans not approved by security holders ( 2 )	2014	2014	2014

4	total	448859	$ 0.00	4087587

Question: what portion of the equity compensation plan approved by security holders remains available for future issuance?

Answer: 0.90105