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Stock Options Outstanding (Detail)
12 Months Ended
Mar. 31, 2022
$ / shares
shares
Share Based Compensation Shares Authorized Under Stock Option Plans Exercise Price Range [Line Items]  
Options Outstanding, Number of Shares Outstanding | shares 456,849
Options Outstanding, Weighted-Average Remaining Contractual Life (in years) 6 years 8 months 1 day
Options Outstanding, Weighted-Average Exercise Price $ 83.81
Options Exercisable , Number of Shares Outstanding | shares 314,624
Options Exercisable, Weighted-Average Exercise Price $ 87.57
$33.69 - $37.34 [Member]  
Share Based Compensation Shares Authorized Under Stock Option Plans Exercise Price Range [Line Items]  
Range of Exercise Prices, Lower Range 33.69
Range of Exercise Prices, Upper Range $ 37.34
Options Outstanding, Number of Shares Outstanding | shares 5,800
Options Outstanding, Weighted-Average Remaining Contractual Life (in years) 2 months 12 days
Options Outstanding, Weighted-Average Exercise Price $ 35.46
Options Exercisable , Number of Shares Outstanding | shares 5,800
Options Exercisable, Weighted-Average Exercise Price $ 35.46
$59.32 - $81.56 [Member]  
Share Based Compensation Shares Authorized Under Stock Option Plans Exercise Price Range [Line Items]  
Range of Exercise Prices, Lower Range 59.32
Range of Exercise Prices, Upper Range $ 81.56
Options Outstanding, Number of Shares Outstanding | shares 179,192
Options Outstanding, Weighted-Average Remaining Contractual Life (in years) 7 years 1 month 24 days
Options Outstanding, Weighted-Average Exercise Price $ 63.43
Options Exercisable , Number of Shares Outstanding | shares 92,382
Options Exercisable, Weighted-Average Exercise Price $ 65.88
$87.37 - $93.03 [Member]  
Share Based Compensation Shares Authorized Under Stock Option Plans Exercise Price Range [Line Items]  
Range of Exercise Prices, Lower Range 87.37
Range of Exercise Prices, Upper Range $ 93.03
Options Outstanding, Number of Shares Outstanding | shares 156,131
Options Outstanding, Weighted-Average Remaining Contractual Life (in years) 6 years 8 months 8 days
Options Outstanding, Weighted-Average Exercise Price $ 91.44
Options Exercisable , Number of Shares Outstanding | shares 113,803
Options Exercisable, Weighted-Average Exercise Price $ 91.40
$99.37 - $143.09 [Member]  
Share Based Compensation Shares Authorized Under Stock Option Plans Exercise Price Range [Line Items]  
Range of Exercise Prices, Lower Range 99.37
Range of Exercise Prices, Upper Range $ 143.09
Options Outstanding, Number of Shares Outstanding | shares 115,726
Options Outstanding, Weighted-Average Remaining Contractual Life (in years) 6 years 2 months 23 days
Options Outstanding, Weighted-Average Exercise Price $ 107.49
Options Exercisable , Number of Shares Outstanding | shares 102,639
Options Exercisable, Weighted-Average Exercise Price $ 105.81