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Share-Based Compensation - Employee Stock Purchase Plan (Details) - USD ($)
$ in Millions
12 Months Ended
Mar. 31, 2020
Mar. 31, 2019
Mar. 31, 2018
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Total compensation cost not yet recognized $ 263.2    
Restricted stock units' weighted average remaining expense recognition period (in years) 2 years 10 days    
Employee Stock Purchase Plans      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Share based compensation arrangement by share based payment award, market price offering date percentage 85.00%    
Common stock, capital shares reserved for future issuance (in shares) 16,289,436    
Share-based compensation arrangement by share-based payment award, number of shares available for grant (in shares) 6,347,253    
Stock issued during period, shares, employee stock purchase plans (in shares) 787,284 549,796 828,015
Stock issued during period, value, employee stock purchase plan $ 55.6 $ 39.6 $ 38.2
Total compensation cost not yet recognized $ 5.8    
Restricted stock units' weighted average remaining expense recognition period (in years) 5 months