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Stockholders' equity - Stock Options and Restricted Stock Units (Details) - 2006 Stock Incentive Plan - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Dec. 31, 2021
Dec. 31, 2020
Number of Shares    
Outstanding, beginning of period (in shares) 1,300,000  
Stock options granted (in shares) 300,000  
Exercised (in shares) (300,000)  
Forfeited (in shares) (100,000)  
Outstanding, end of period (in shares) 1,200,000  
Exercisable, end of period (in shares) 600,000  
Weighted-Average Exercise Price    
Outstanding, beginning of period (in dollars per share) $ 49,070,000.00  
Stock options grant price (in dollars per share) 89,470,000  
Exercised (in dollars per share) 35,910,000  
Forfeited (in dollars per share) 71,770,000  
Outstanding, end of period (in dollars per share) 60,830,000  
Exercisable, end of period (in dollars per share) $ 47,280,000  
Aggregate Intrinsic Value    
Outstanding $ 3.0 $ 53.4
Exercisable $ 3.0  
Performance Stock Units (PSUs) and Restricted Stock Units (RSUs)    
Number of Shares    
Outstanding, beginning of period (in shares) 1,100,000  
Restricted stock units granted (in shares) 700,000  
Vested (in shares) (500,000)  
Forfeited (in shares) (200,000)  
Outstanding, end of period (in shares) 1,100,000  
Weighted-Average Grant Price    
Outstanding, beginning of period (in dollars per share) $ 63,300,000  
Restricted stock units grant price (in dollars per share) 76,720,000  
Vested (in dollars per share) 61,760,000  
Forfeited (in dollars per share) 74,420,000  
Outstanding, end of period (in dollars per share) $ 70,820,000  
Aggregate Intrinsic Value    
Outstanding $ 47.6 $ 96.3