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Stock-Based Compensation (Tables)
 12 Months Ended
Dec. 31, 2021
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, 20213,599,189 $19.79   
Granted and rolled over587,399 $41.96   
Exercised(627,523)$17.28   
Forfeited(201,691)$27.24   
Outstanding as of December 31, 20213,357,374 $23.69 6.28$100.0 
Exercisable as of December 31, 20211,551,263 $18.56 4.62$50.8 
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, 2021, 2020 and 2019:
For the year ended December 31,
202120202019
Risk-free interest rate0.46 %1.55 %2.00 %
Expected volatility75.33 %33.78 %32.90 %
Dividend yield— — — 
Weighted-average expected life (in years)5.25.05.3
Information on restricted stock awards
The following table contains information on our RSAs and RSUs:
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, 2021229,632 $28.84 390,815 $25.67 
Granted and rolled over1,106,613 $62.81 871,763 $78.15 
Vested(136,859)$31.38 (142,350)$24.83 
Forfeited(31,022)$77.12 (17,215)$47.81 
Nonvested as of December 31, 20211,168,364 $58.89 1,103,013 $66.90