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Income Taxes - Additional Information (Detail) - USD ($)
 12 Months Ended
Mar. 31, 2024
Mar. 31, 2023
Mar. 31, 2022
Mar. 31, 2021
Income Tax Contingency [Line Items]        
Income taxes paid $ 28,810,000 $ 46,309,000 $ 50,484,000  
Net operating loss carryforwards carried forward indefinitely 111,526,000      
Net operating loss carryforwards subject to expiration 99,963,000      
Valuation allowance 35,754,000 31,172,000 31,017,000 $ 31,928,000
Increase (decrease) in deferred tax asset (2,267,000) (1,913,000) (3,862,000)  
Income tax expense (benefit) $ 23,089,000 $ 34,829,000 $ 30,028,000  
Effective income tax rates 7.90% 16.50% 17.30%  
Foreign pre-tax income $ 192,955,000 $ 171,936,000 $ 152,068,000  
Foreign pre-tax income, percent 13.80% 16.80% 11.00%  
Tax rate of Swiss subsidiary 9.00% 7.00% 4.00%  
Blended rate 21.00% 21.00% 21.00%  
Undistributed earnings of foreign subsidiaries $ 1,352,000,000 $ 1,340,000,000    
Unrecognized tax benefits 2,845,000 3,495,000 $ 4,770,000 $ 6,785,000
Estimated change in unrecognized tax benefit in fiscal 2015 533,000      
Tax related interest and penalties 455,000 435,000    
Federal        
Income Tax Contingency [Line Items]        
United States federal net operating loss carryforwards 539,000      
Valuation allowance 0 0    
Foreign        
Income Tax Contingency [Line Items]        
United States federal net operating loss carryforwards 211,489,000      
Valuation allowance 35,219,000 30,829,000    
Increase (decrease) in deferred tax asset 4,389,000      
Foreign | Increase to Income Tax Expense (Benefit)        
Income Tax Contingency [Line Items]        
Increase (decrease) in deferred tax asset 6,656,000      
Foreign | Purchase Accounting Adjustment        
Income Tax Contingency [Line Items]        
Increase (decrease) in deferred tax asset (2,267,000)      
State        
Income Tax Contingency [Line Items]        
United States federal net operating loss carryforwards 25,646,000      
Valuation allowance $ 535,000 $ 343,000