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Stock Options and Stock-Based Compensation - Additional Information (Detail) - USD ($)
12 Months Ended
Mar. 31, 2024
Mar. 31, 2023
Mar. 31, 2022
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 $ 75.49 $ 56.34 $ 50.29
Total intrinsic value of options exercised $ 29,230,000 $ 21,094,000 $ 27,615,000
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 $ 4,982,000 5,559,000 5,198,000
Performance Shares [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Stock-based compensation expense 1,199,000 1,961,000 2,280,000
Cash received from excercise of stock options 9,266,000 $ 10,856,000 $ 9,906,000
Unrecognized compensation costs related to stock options $ 8,178,000    
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%