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Stock-Based Compensation - LTIP NQSOs (Details) - Stock Incentive Plan 2015 - LTIP NQSOs - USD ($)
$ / shares in Units, $ in Thousands
12 Months Ended
Mar. 31, 2020
Mar. 31, 2019
Mar. 31, 2018
Mar. 31, 2017
Mar. 31, 2020
Mar. 31, 2019
Mar. 31, 2018
Number of Shares              
Number of shares outstanding beginning of period (in shares)         361,383 397,340 191,786
Granted (in shares)         0 0 205,554
Forfeited (in shares)           (35,957)  
Exercised (in shares)         (58,444)    
Number of shares outstanding end of period (in shares) 302,939 361,383 397,340 191,786 302,939 361,383 397,340
Weighted- Average Grant-Date Fair Value              
Outstanding at the beginning of the period (in dollars per share)         $ 65.35 $ 65.70 $ 61.86
Granted (in dollars per share)             69.29
Forfeited (in dollars per share)           (69.29)  
Exercised (in dollars per share)         (61.86)    
Outstanding at the end of the period (in dollars per share) $ 66.02 $ 65.35 $ 65.70 $ 61.86 $ 66.02 $ 65.35 $ 65.70
Share-based Compensation Arrangement by Share-based Payment Award, Options, Additional Disclosures [Abstract]              
Weighted- Average Remaining Contractual Term (Years) 5 years 6 years 2 months 12 days 7 years 1 month 6 days 9 years      
Aggregate Intrinsic Value $ 20,594 $ 29,504 $ 9,666 $ 0 $ 20,594 $ 29,504 $ 9,666