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Stock-Based Compensation - Annual Awards (Details) - Stock Incentive Plan 2015 - $ / shares
12 Months Ended
Mar. 31, 2021
Mar. 31, 2020
Mar. 31, 2019
Annual RSUs and Annual PSUs      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Granted (in shares) 47,015 67,515 94,063
Granted (in dollars per share) $ 220.31 $ 172.34 $ 116.68
Annual RSUs      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Award vesting period 3 years    
Granted (in shares) 47,015 47,577 62,743
Granted (in dollars per share) $ 220.31 $ 171.50 $ 116.85
Annual PSUs      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Award vesting period 3 years    
Granted (in shares) 0 19,938 31,320
Granted (in dollars per share) $ 0 $ 174.36 $ 116.34