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Stock Options and Stock-Based Compensation - Stock Options Outstanding and Exercisable (Detail) - $ / shares
12 Months Ended
Mar. 31, 2019
Mar. 31, 2018
Mar. 31, 2017
Mar. 31, 2016
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]        
Number of Outstanding Options 1,058,411 1,064,439 1,143,928 1,115,465
Weighted Average Remaining Contractual Life 3 years 5 months 19 days      
Outstanding Options – Weighted Average Exercise Price $ 45.17 $ 39.45 $ 32.02  
Exercisable Options – Number of Exercisable Options 440,386      
Exercisable Options – Weighted Average Exercise Price $ 35.73      
Range of Exercise Price, $12.71 to $34.67 [Member]        
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]        
Range of Exercise Price, lower limit 12.71      
Range of Exercise Price, upper limit $ 34.67      
Number of Outstanding Options 273,168      
Weighted Average Remaining Contractual Life 2 years 4 months 17 days      
Outstanding Options – Weighted Average Exercise Price $ 27.22      
Exercisable Options – Number of Exercisable Options 209,084      
Exercisable Options – Weighted Average Exercise Price $ 25.68      
Range of Exercise Price, $34.68 to $48.35 [Member]        
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]        
Range of Exercise Price, lower limit 34.68      
Range of Exercise Price, upper limit $ 48.35      
Number of Outstanding Options 326,046      
Weighted Average Remaining Contractual Life 3 years 2 months 8 days      
Outstanding Options – Weighted Average Exercise Price $ 43.26      
Exercisable Options – Number of Exercisable Options 185,392      
Exercisable Options – Weighted Average Exercise Price $ 41.77      
Range of Exercise Price, $48.36 to $57.75 [Member]        
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]        
Range of Exercise Price, lower limit 48.36      
Range of Exercise Price, upper limit $ 57.75      
Number of Outstanding Options 285,497      
Weighted Average Remaining Contractual Life 4 years 1 month 17 days      
Outstanding Options – Weighted Average Exercise Price $ 55.63      
Exercisable Options – Number of Exercisable Options 45,910      
Exercisable Options – Weighted Average Exercise Price $ 57.15      
Range of Exercise Price, $57.76 to $62.31 [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 $ 62.31      
Number of Outstanding Options 173,700      
Weighted Average Remaining Contractual Life 4 years 7 months 17 days      
Outstanding Options – Weighted Average Exercise Price $ 59.81      
Exercisable Options – Number of Exercisable Options 0      
Exercisable Options – Weighted Average Exercise Price $ 0