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Stock Options and Stock-Based Compensation - Stock Options Outstanding and Exercisable (Detail) - $ / shares
12 Months Ended
Mar. 31, 2020
Mar. 31, 2019
Mar. 31, 2018
Mar. 31, 2017
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]        
Number of Outstanding Options 1,029,103 1,058,411 1,064,439 1,143,928
Weighted Average Remaining Contractual Life 3 years 3 months 10 days      
Outstanding Options – Weighted Average Exercise Price $ 54.87 $ 45.17 $ 39.45  
Exercisable Options – Number of Exercisable Options 468,107      
Exercisable Options – Weighted Average Exercise Price $ 41.35      
Range of Exercise Price, $20.08 to $43.32 [Member]        
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]        
Range of Exercise Price, lower limit 20.08      
Range of Exercise Price, upper limit $ 43.32      
Number of Outstanding Options 264,782      
Weighted Average Remaining Contractual Life 2 years 2 months 8 days      
Outstanding Options – Weighted Average Exercise Price $ 31.41      
Exercisable Options – Number of Exercisable Options 247,798      
Exercisable Options – Weighted Average Exercise Price $ 30.91      
Range of Exercise Price, $43.33 to $57.75 [Member]        
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]        
Range of Exercise Price, lower limit 43.33      
Range of Exercise Price, upper limit $ 57.75      
Number of Outstanding Options 363,979      
Weighted Average Remaining Contractual Life 2 years 10 months 28 days      
Outstanding Options – Weighted Average Exercise Price $ 52.58      
Exercisable Options – Number of Exercisable Options 185,609      
Exercisable Options – Weighted Average Exercise Price $ 51.83      
Range of Exercise Price, $57.76 to $77.93 [Member]        
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]        
Range of Exercise Price, lower limit 57.76      
Range of Exercise Price, upper limit $ 77.93      
Number of Outstanding Options 323,392      
Weighted Average Remaining Contractual Life 4 years 14 days      
Outstanding Options – Weighted Average Exercise Price $ 68.83      
Exercisable Options – Number of Exercisable Options 34,700      
Exercisable Options – Weighted Average Exercise Price $ 59.89      
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 76,950      
Weighted Average Remaining Contractual Life 5 years 6 months      
Outstanding Options – Weighted Average Exercise Price $ 87.76      
Exercisable Options – Number of Exercisable Options 0      
Exercisable Options – Weighted Average Exercise Price $ 0