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Share-based Compensation - Principal Assumptions Utilized in Valuing Market Condition Restricted Shares (Details) - Restricted Shares - $ / shares
12 Months Ended
Mar. 31, 2022
Mar. 31, 2021
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Weighted average grant date fair value (in dollars per share) $ 43.56 $ 37.67
Minimum [Member] | Lattice Option Pricing Model    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Risk-free interest rate 0.50%  
Expected volatility 54.00%  
Weighted average grant date fair value (in dollars per share) $ 24.77  
Maximum [Member] | Lattice Option Pricing Model    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Risk-free interest rate 0.90%  
Expected volatility 56.00%  
Weighted average grant date fair value (in dollars per share) $ 39.12