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Stock-Based Compensation - LTIP PSUs (Details) - LTIP PSUs - Stock Incentive Plan 2015 - $ / shares
12 Months Ended
Mar. 31, 2020
Mar. 31, 2019
Mar. 31, 2018
Number of Shares      
Nonvested at the beginning of the period (in shares) 77,098 0 269,012
Granted (in shares) 76,348 83,586  
Forfeited (in shares)   (6,488) (269,012)
Nonvested at the end of the period (in shares) 153,446 77,098 0
Weighted- Average Grant-Date Fair Value      
Nonvested at the beginning of the period (in dollars per share) $ 120.24 $ 0 $ 50.22
Granted (in dollars per share) 146.96 120.24  
Forfeited (in dollars per share)   (120.24) (50.22)
Nonvested at the end of the period (in dollars per share) $ 133.53 $ 120.24 $ 0