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Equity Incentive Plans, Share-based Payment Award (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Mar. 31, 2018
Mar. 31, 2017
Mar. 31, 2016
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) $ 91.36    
Restricted stock units' weighted average remaining expense recognition period (in years) 1 year 10 months 28 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 6,419,456 6,307,742 5,268,916
RSU shares granted 1,267,536 1,635,655 2,479,729
RSU shares assumed upon acquisition   2,059,524 525,442
RSU shares forfeited (279,051) (722,212) (360,072)
RSU shares vested (1,735,501) (2,861,253) (1,606,273)
RSU nonvested shares ending balance 5,672,440 6,419,456 6,307,742
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 $ 42.06 $ 36.76 $ 34.15
Weighted average grant date fair values per share of restricted stock granted in period 77.26 51.46 38.91
Weighted average grant date fair values per share of restricted stock units acquired   46.57 40.58
Weighted average grant date fair values per share of restricted stock units forfeited 49.65 43.58 38.20
Weighted average fair values per share of restricted stock units awarded 38.00 38.60 32.47
Weighted average grant date fair values per share of restricted stock, ending balance $ 50.79 $ 42.06 $ 36.76
Total intrinsic value of RSU's vested during the period $ 146.0 $ 166.1 $ 72.1
Total intrinsic value of RSU's outstanding $ 518.2    
Restricted stock units' weighted average remaining expense recognition period (in years) 1 year 11 months 16 days