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Stock Compensation (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Dec. 31, 2017
Dec. 31, 2016
Dec. 31, 2015
Stock compensation      
Stock compensation expense $ 133.1 $ 96.2 $ 69.9
Weighted-average fair value assumptions      
Valuation method Black-Scholes valuation model    
Employee Stock      
Stock compensation      
Stock compensation expense $ 3.2 $ 2.4 $ 2.4
Weighted-average fair value assumptions      
Average risk-free interest rates (as a percent) 1.53% 0.90% 0.81%
Average expected life (in years) 6 months 6 months 6 months
Volatility (as a percent) 38.00% 48.00% 55.00%
Weighted-average fair value (in dollars per share) $ 19.42 $ 18.82 $ 16.26
Stock Options      
Weighted-average fair value assumptions      
Average risk-free interest rates (as a percent) 1.80% 1.30% 1.35%
Average expected life (in years) 5 years 3 months 4 years 11 months 27 days 5 years 11 days
Volatility (as a percent) 49.00% 50.00% 49.00%
Weighted-average fair value (in dollars per share) $ 53.41 $ 39.35 $ 34.55
Dividend yield (as a percent) 0.00%    
Unrecognized compensation      
Unrecognized compensation cost for nonvested option (in dollars) $ 95.2    
Vesting period of recognition of the unrecognized compensation cost of nonvested awards 1 year 7 months 6 days    
Restricted Stock Units (RSUs)      
Unrecognized compensation      
Unrecognized compensation cost for nonvested option (in dollars) $ 55.9    
Vesting period of recognition of the unrecognized compensation cost of nonvested awards 1 year 4 months 24 days    
Performance Stock Units (PSUs)      
Stock compensation      
Stock compensation expense   $ 0.0