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Share-based Compensation - Principal Assumptions Utilized in Valuing Service Condition SSARs (Details) - Stock Settled Stock Appreciation Rights (SSARS) [Member] - Black Scholes Merton Option Pricing Model - $ / shares
12 Months Ended
Mar. 31, 2021
Mar. 31, 2020
Mar. 31, 2019
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]      
Risk-free interest rate, minimum   1.38%  
Risk-free interest rate 0.31%   2.68%
Risk-free interest rate, maximum   1.74%  
Expected life (in years) 4 years   5 years
Expected volatility,minimum   31.70%  
Expected volatility 42.99%   32.42%
Expected volatility, maximum   32.42%  
Weighted average grant date fair value (in dollars per share) $ 22.57 $ 10.01 $ 4.72
Minimum [Member]      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]      
Expected life (in years)   4 years 6 months  
Maximum [Member]      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]      
Expected life (in years)   5 years