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Stock Options and Stock-Based Compensation - Stock Options Outstanding and Exercisable (Detail) - $ / shares
12 Months Ended
Mar. 31, 2022
Mar. 31, 2021
Mar. 31, 2020
Mar. 31, 2019
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]        
Number of Outstanding Options 723,876 937,158 1,029,103 1,058,411
Weighted Average Remaining Contractual Life 3 years 3 months 21 days      
Outstanding Options – Weighted Average Exercise Price $ 84.55 $ 64.28 $ 54.87  
Exercisable Options – Number of Exercisable Options 354,460      
Exercisable Options – Weighted Average Exercise Price $ 59.28      
Range of Exercise Price, $22.07 to $57.35 [Member]        
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]        
Range of Exercise Price, lower limit 22.07      
Range of Exercise Price, upper limit $ 57.35      
Number of Outstanding Options 194,471      
Weighted Average Remaining Contractual Life 2 years 7 months 6 days      
Outstanding Options – Weighted Average Exercise Price $ 43.39      
Exercisable Options – Number of Exercisable Options 163,658      
Exercisable Options – Weighted Average Exercise Price $ 41.46      
Range of Exercise Price, $57.36 to $77.93 [Member]        
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]        
Range of Exercise Price, lower limit 57.36      
Range of Exercise Price, upper limit $ 77.93      
Number of Outstanding Options 183,160      
Weighted Average Remaining Contractual Life 2 years 21 days      
Outstanding Options – Weighted Average Exercise Price $ 69.75      
Exercisable Options – Number of Exercisable Options 122,565      
Exercisable Options – Weighted Average Exercise Price $ 67.29      
Range of Exercise Price, $77.94 to $88.22 [Member]        
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]        
Range of Exercise Price, lower limit 77.94      
Range of Exercise Price, upper limit $ 88.22      
Number of Outstanding Options 196,330      
Weighted Average Remaining Contractual Life 4 years 7 days      
Outstanding Options – Weighted Average Exercise Price $ 86.21      
Exercisable Options – Number of Exercisable Options 63,082      
Exercisable Options – Weighted Average Exercise Price $ 86.34      
Range of Exercise Price, $88.23 to $197.16 [Member]        
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]        
Range of Exercise Price, lower limit 88.23      
Range of Exercise Price, upper limit $ 197.16      
Number of Outstanding Options 149,915      
Weighted Average Remaining Contractual Life 4 years 9 months 25 days      
Outstanding Options – Weighted Average Exercise Price $ 153.87      
Exercisable Options – Number of Exercisable Options 5,155      
Exercisable Options – Weighted Average Exercise Price $ 103.31