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Stock Options and Stock-Based Compensation - Stock Options Outstanding and Exercisable (Detail) - $ / shares
12 Months Ended
Mar. 31, 2021
Mar. 31, 2020
Mar. 31, 2019
Mar. 31, 2018
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]        
Number of Outstanding Options 937,158 1,029,103 1,058,411 1,064,439
Weighted Average Remaining Contractual Life 3 years 4 months 2 days      
Outstanding Options – Weighted Average Exercise Price $ 64.28 $ 54.87 $ 45.17  
Exercisable Options – Number of Exercisable Options 421,964      
Exercisable Options – Weighted Average Exercise Price $ 50.95      
Range of Exercise Price, $21.87 to $49.40 [Member]        
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]        
Range of Exercise Price, lower limit 21.87      
Range of Exercise Price, upper limit $ 49.40      
Number of Outstanding Options 253,107      
Weighted Average Remaining Contractual Life 2 years 2 months 4 days      
Outstanding Options – Weighted Average Exercise Price $ 39.70      
Exercisable Options – Number of Exercisable Options 226,736      
Exercisable Options – Weighted Average Exercise Price $ 38.65      
Range of Exercise Price, $49.41 to $59.32 [Member]        
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]        
Range of Exercise Price, lower limit 49.41      
Range of Exercise Price, upper limit $ 59.32      
Number of Outstanding Options 247,080      
Weighted Average Remaining Contractual Life 2 years 10 months 9 days      
Outstanding Options – Weighted Average Exercise Price $ 57.14      
Exercisable Options – Number of Exercisable Options 122,803      
Exercisable Options – Weighted Average Exercise Price $ 57.97      
Range of Exercise Price, $59.33 to $87.49 [Member]        
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]        
Range of Exercise Price, lower limit 59.33      
Range of Exercise Price, upper limit $ 87.49      
Number of Outstanding Options 263,715      
Weighted Average Remaining Contractual Life 4 years 1 month 9 days      
Outstanding Options – Weighted Average Exercise Price $ 77.66      
Exercisable Options – Number of Exercisable Options 65,983      
Exercisable Options – Weighted Average Exercise Price $ 76.49      
Range of Exercise Price, $87.50 to $103.31 [Member]        
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]        
Range of Exercise Price, lower limit 87.50      
Range of Exercise Price, upper limit $ 103.31      
Number of Outstanding Options 173,256      
Weighted Average Remaining Contractual Life 4 years 6 months 7 days      
Outstanding Options – Weighted Average Exercise Price $ 89.97      
Exercisable Options – Number of Exercisable Options 6,442      
Exercisable Options – Weighted Average Exercise Price $ 88.22