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Stock-Based Compensation - Annual Awards (Details) - Stock Incentive Plan 2015 - $ / shares
12 Months Ended
Mar. 31, 2020
Mar. 31, 2019
Mar. 31, 2018
Annual RSUs and Annual PSUs      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Granted (in shares) 67,515 94,063 187,554
Granted (in dollars per share) $ 172.34 $ 116.68 $ 67.92
Annual RSUs      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Award vesting period (in years) 3 years    
Granted (in shares) 47,577 62,743 133,464
Granted (in dollars per share) $ 171.50 $ 116.85 $ 67.70
Annual PSUs      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Award vesting period (in years) 3 years    
Granted (in shares) 19,938 31,320 54,090
Granted (in dollars per share) $ 174.36 $ 116.34 $ 68.44