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Stock Options and Stock-Based Compensation - Additional Information (Detail) - USD ($)
12 Months Ended
Mar. 31, 2022
Mar. 31, 2021
Mar. 31, 2020
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Non-statutory stock options expiration period 5 years    
Weighted-average grant-date fair value of options granted $ 50.29 $ 23.24 $ 22.99
Total intrinsic value of options exercised $ 27,615,000 $ 12,272,000 $ 10,281,000
Cash received from exercise of stock options 9,906,000 11,494,000 8,147,000
Unrecognized compensation costs related to stock options $ 6,566,000    
Weighted average period to recognized compensation cost 3 years    
Time Based Options and Performance Based Options [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Stock-based compensation expense $ 5,198,000 4,978,000 4,485,000
Performance Shares [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Stock-based compensation expense $ 2,280,000 $ 2,080,000 $ 1,625,000
Director [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Non-statutory stock options expiration period 10 years    
Maximum [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Common stock grants 20,615,000    
Non-statutory stock options vesting period 36 months    
Minimum [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Non-statutory stock options vesting period 1 year    
Share-based Compensation Award, Tranche One [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting Percentage 25.00%    
Share-based Compensation Award, Tranche Two [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting Percentage 75.00%