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Share-Based Compensation - Employee Stock Purchase Plan (Details) - USD ($)
$ in Millions
12 Months Ended
Mar. 31, 2022
Mar. 31, 2021
Mar. 31, 2020
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Unvested share-based payment awards $ 303.8    
Nonvested awards, total compensation cost not yet recognized, period for recognition 1 year 11 months 1 day    
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) 35,000,572    
Number of shares available for grant (in shares) 10,929,886    
Stock issued during period, shares, employee stock purchase plans (in shares) 1,485,477 1,424,440 1,574,568
Stock issued during period, value, employee stock purchase plan $ 70.0 $ 57.7 $ 55.6
Unvested share-based payment awards $ 7.2    
Nonvested awards, total compensation cost not yet recognized, period for recognition 5 months