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Share-Based Compensation - Equity Incentive Plans, RSU outstanding (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Mar. 31, 2019
Mar. 31, 2018
Mar. 31, 2017
Mar. 29, 2019
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Weighted Average Grant Date Fair Value [Abstract]        
Closing price of company's common stock related to calculation of aggregate intrinsic value of stock options (in dollars per share)       $ 82.96
Restricted stock units' weighted average remaining expense recognition period (in years) 1 year 10 months 17 days      
Restricted stock units        
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested [Roll Forward]        
RSU nonvested shares beginning balance (in shares) 5,672,440 6,419,456 6,307,742  
RSU shares granted (in shares) 1,951,408 1,267,536 1,635,655  
RSU shares assumed upon acquisition (in shares) 1,805,680   2,059,524  
RSU shares forfeited (in shares) (408,242) (279,051) (722,212)  
RSU shares vested (in shares) (2,729,324) (1,735,501) (2,861,253)  
RSU nonvested shares ending balance (in shares) 6,291,962 5,672,440 6,419,456  
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Weighted Average Grant Date Fair Value [Abstract]        
Weighted average grant date fair values per share of restricted stock, beginning balance (in dollars per share) $ 50.79 $ 42.06 $ 36.76  
Weighted average grant date fair values per share of restricted stock granted in period (in dollars per share) 77.83 77.26 51.46  
Weighted average grant date fair values per share of restricted stock units acquired (in dollars per share) 91.70   46.57  
Weighted average grant date fair values per share of restricted stock units forfeited (in dollars per share) 73.36 49.65 43.58  
Weighted average grant date fair values per share of restricted stock units vested (in dollars per share) 61.51 38.00 38.60  
Weighted average grant date fair values per share of restricted stock, ending balance (in dollars per share) $ 64.81 $ 50.79 $ 42.06  
Total intrinsic value of RSUs, vested $ 229.3 $ 146.0 $ 166.1  
Total intrinsic value of RSU's outstanding $ 522.0      
Restricted stock units' weighted average remaining expense recognition period (in years) 1 year 10 months 28 days