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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
12 Months Ended
Mar. 31, 2021
Mar. 31, 2020
Mar. 31, 2019
Valuation assumptions:      
Risk-free interest rate 0.20%    
Expected volatility 35.50%    
Employee Stock Option      
Valuation assumptions:      
Weighted average grant-date fair value $ 77.82 $ 93.05 $ 141.47
Risk-free interest rate 0.32% 1.97% 2.91%
Expected option life (years) 4 years 2 months 19 days 4 years 1 month 20 days 4 years 15 days
Expected volatility 42.90% 42.30% 42.80%