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Stock-Based Compensation (Tables)
 12 Months Ended
Dec. 31, 2020
Share-based Payment Arrangement [Abstract]  
Information on stock options issued
The following table contains information about our stock options:
 Number of Option
Shares		Weighted-Average
Exercise Price		Weighted-Average Remaining Contractual
Term
(in years)		Aggregate
Intrinsic Value
(in millions)
Outstanding as of January 1, 20207,817,436 $16.30   
Granted652,733 $26.79   
Exercised(4,362,654)$14.37   
Forfeited(508,326)$21.69   
Outstanding as of December 31, 20203,599,189 $19.79 6.46$242.2 
Exercisable as of December 31, 20201,343,421 $16.71 3.94$94.6 
Information about stock options by exercise price range
The following table summarizes information about our outstanding stock options as of December 31, 2020:
 Exercise Price RangeTotal
 
$12.65 to
$18.63
$18.81 to
$26.14
$30.74 to
$36.31
$55.74 to
$55.74
$12.65 to
$55.74
Outstanding options    
Number outstanding1,045,257 2,245,484 303,974 4,474 3,599,189 
Weighted-average remaining contractual term (in years)2.778.444.469.846.46
Weighted-average exercise price$13.86 $20.88 $31.57 $55.74 $19.79 
Exercisable options 
Number outstanding830,121 389,945 123,355 — 1,343,421 
Weighted-average exercise price$13.48 $19.14 $30.74 $— $16.71 
Weighted-average assumptions used in Black-Scholes option pricing model
The following are the weighted-average assumptions used in the Black-Scholes option-pricing model for the years ended December 31, 2020, 2019 and 2018:
For the year ended December 31,
202020192018
Risk-free interest rate1.55 %2.00 %2.26 %
Expected volatility33.78 %32.90 %30.80 %
Dividend yield— — — 
Weighted-average expected life (in years)5.005.305.30
Information on restricted stock awards
The following table contains information on our RSAs:
With Performance ConditionsWithout Performance Conditions
 Number of 
Shares		Weighted- Average Grant Date Fair ValueNumber of 
Shares		Weighted- Average Grant Date Fair Value
Nonvested as of January 1, 2020395,362 $24.35 298,479 $23.15 
Granted179,045 $28.68 131,313 $26.18 
Vested(352,371)$23.63 (106,666)$22.53 
Forfeited— $— (39,180)$25.18 
Nonvested as of December 31, 2020222,036 $28.73 283,946 $24.50