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Stock-Based Compensation - Annual Awards (Details) - Stock Incentive Plan 2015 - $ / shares
9 Months Ended
Dec. 31, 2019
Dec. 31, 2018
Annual RSUs    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Granted (in shares) 44,702 60,000
Weighted-average grant date fair value (in dollars per share) $ 171.72 $ 115.80
Annual PSUs    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Granted (in shares) 19,509 31,320
Weighted-average grant date fair value (in dollars per share) $ 174.34 $ 116.34
Annual RSUs and Annual PSUs    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Granted (in shares) 64,211 91,320
Weighted-average grant date fair value (in dollars per share) $ 172.51 $ 115.98