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Stock Option Activity (Detail) - $ / shares
12 Months Ended
Mar. 31, 2022
Mar. 31, 2021
Mar. 31, 2020
Disclosure Of Compensation Related Costs Sharebased Payments [Abstract]      
Number of Shares, Outstanding Options at Beginning of Year 708,501 1,160,091 1,042,925
Number of Shares, Granted 11,316 187,121 187,375
Number of Shares, Exercised (247,578) (623,617) (62,326)
Number of Shares, Cancelled (15,390) (15,094) (7,883)
Number of Shares, Outstanding Options at End of Year 456,849 708,501 1,160,091
Number of Shares, Options Exercisable at End of Year 314,624 416,817 868,081
Weighted-Average Exercise Price, Outstanding Options at Beginning of Year $ 83.85 $ 80.36 $ 76.88
Weighted-Average Exercise Price, Granted 140.42 61.92 91.58
Weighted-Average Exercise Price, Exercised 86.97 70.57 88.28
Weighted-Average Exercise Price, Cancelled 76.63 92.51 102.69
Weighted-Average Exercise Price, Outstanding Options at End of Year 83.81 83.85 80.36
Weighted-Average Fair Value of Options Granted During the Year $ 49.18 $ 22.68 $ 27.35