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Summary of Weighted Average Grant-Date Fair Values And Weighted Average Assumptions used to Calculate Fair Value of Options Granted (Detail) - $ / shares
1 Months Ended 12 Months Ended
May 31, 2021
May 31, 2020
Mar. 31, 2022
Mar. 31, 2021
Mar. 31, 2020
Valuation assumptions:          
Risk-free interest rate 0.30% 0.20%      
Expected option life (years) 2 years 9 months 18 days        
Expected volatility 44.80% 35.50%      
Employee Stock Option          
Valuation assumptions:          
Weighted average grant-date fair value     $ 105.79 $ 77.82 $ 93.05
Risk-free interest rate     0.86% 0.32% 1.97%
Expected option life (years)     4 years 3 months 29 days 4 years 2 months 19 days 4 years 1 month 20 days
Expected volatility     44.00% 42.90% 42.30%