Please answer the given financial question based on the context.
Context: american tower corporation and subsidiaries notes to consolidated financial statements assessments in each of the tax jurisdictions resulting from these examinations . the company believes that adequate provisions have been made for income taxes for all periods through december 31 , 2010 . 12 . stock-based compensation the company recognized stock-based compensation of $ 52.6 million , $ 60.7 million and $ 54.8 million for the years ended december 31 , 2010 , 2009 and 2008 , respectively . stock-based compensation for the year ended december 31 , 2009 included $ 6.9 million related to the modification of the vesting and exercise terms for certain employee 2019s equity awards . the company did not capitalize any stock-based compensation during the years ended december 31 , 2010 and 2009 . summary of stock-based compensation plans 2014the company maintains equity incentive plans that provide for the grant of stock-based awards to its directors , officers and employees . under the 2007 equity incentive plan ( 201c2007 plan 201d ) , which provides for the grant of non-qualified and incentive stock options , as well as restricted stock units , restricted stock and other stock-based awards , exercise prices in the case of non-qualified and incentive stock options are not less than the fair market value of the underlying common stock on the date of grant . equity awards typically vest ratably over various periods , generally four years , and generally expire ten years from the date of grant . stock options 2014as of december 31 , 2010 , the company had the ability to grant stock-based awards with respect to an aggregate of 22.0 million shares of common stock under the 2007 plan . the fair value of each option grant is estimated on the date of grant using the black-scholes option pricing model based on the assumptions noted in the table below . the risk-free treasury rate is based on the u.s . treasury yield in effect at the accounting measurement date . the expected life ( estimated period of time outstanding ) was estimated using the vesting term and historical exercise behavior of company employees . the expected volatility was based on historical volatility for a period equal to the expected life of the stock options . key assumptions used to apply this pricing model are as follows: .
||2010|2009|2008|
|range of risk-free interest rate|1.41% ( 1.41 % ) 2013 2.39% ( 2.39 % )|1.41% ( 1.41 % ) 2013 2.04% ( 2.04 % )|1.44% ( 1.44 % ) 2013 3.05% ( 3.05 % )|
|weighted average risk-free interest rate|2.35% ( 2.35 % )|1.71% ( 1.71 % )|1.89% ( 1.89 % )|
|expected life of option grants|4.60 years|4.00 years|4.00 years|
|range of expected volatility of underlying stock price|37.11% ( 37.11 % ) 2013 37.48% ( 37.48 % )|36.00% ( 36.00 % ) 2013 36.63% ( 36.63 % )|28.51% ( 28.51 % ) 2013 35.30% ( 35.30 % )|
|weighted average expected volatility of underlying stock price|37.14% ( 37.14 % )|36.23% ( 36.23 % )|29.10% ( 29.10 % )|
|expected annual dividends|n/a|n/a|n/a|
the weighted average grant date fair value per share during the years ended december 31 , 2010 , 2009 and 2008 was $ 15.03 , $ 8.90 and $ 9.55 , respectively . the intrinsic value of stock options exercised during the years ended december 31 , 2010 , 2009 and 2008 was $ 62.7 million , $ 40.1 million and $ 99.1 million , respectively . as of december 31 , 2010 , total unrecognized compensation expense related to unvested stock options was approximately $ 27.7 million and is expected to be recognized over a weighted average period of approximately two years . the amount of cash received from the exercise of stock options was approximately $ 129.1 million during the year ended december 31 , 2010 . during the year ended december 31 , 2010 , the company realized approximately $ 0.3 million of state tax benefits from the exercise of stock options. .
Question: what was the percent of the change in the intrinsic value of stock options from 2009 to 2010
Answer:
0.56359