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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) - Stock Options - $ / shares
12 Months Ended
Mar. 31, 2018
Mar. 31, 2017
Mar. 31, 2016
Valuation assumptions:      
Weighted average grant-date fair value $ 52.34 $ 42.40 $ 29.57
Risk-free interest rate 1.87% 1.41% 1.55%
Expected option life (years) 4 years 25 days 4 years 1 month 20 days 4 years 1 month 24 days
Expected volatility 43.50% 48.90% 49.70%