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Income Taxes - Additional Information (Detail) - USD ($)
 12 Months Ended
Mar. 31, 2022
Mar. 31, 2021
Mar. 31, 2020
Mar. 31, 2019
Income Tax Contingency [Line Items]        
Income taxes paid $ 50,484,000 $ 32,002,000 $ 48,653,000  
Net operating loss carryforwards carried forward indefinitely 155,338,000      
Net operating loss carryforwards subject to expiration 46,838,000      
Valuation allowance 31,017,000 31,928,000 20,951,000 $ 17,519,000
Increase (decrease) in deferred tax asset (3,862,000) (940,000) (229,000)  
Income tax expense $ 30,028,000 $ 26,761,000 $ 9,821,000  
Effective income tax rates 17.30% 15.70% 6.70%  
Deferred tax asset     $ 22,500,000  
Foreign pre-tax income $ 152,068,000 $ 114,080,000 $ 110,744,000  
Foreign pre-tax income, percent 11.00% 6.80% (7.40%)  
Tax rate of Swiss subsidiary 4.00% 8.00% 3.00%  
Blended rate 21.00% 21.00% 21.00%  
Undistributed earnings of foreign subsidiaries $ 1,180,000,000 $ 1,591,000,000    
Undistributed earnings of foreign subsidiaries, remitted 550,000      
Unrecognized tax benefits 4,770,000 6,785,000 $ 7,795,000 $ 20,165,000
Estimated change in unrecognized tax benefit in fiscal 2015 1,050,000      
Tax related interest and penalties 440,000 400,000    
Indefinite Suspension of Facility in Russia        
Income Tax Contingency [Line Items]        
Income tax expense 2,000,000      
Federal        
Income Tax Contingency [Line Items]        
United States federal net operating loss carryforwards 899,000      
Valuation allowance 0 0    
Foreign        
Income Tax Contingency [Line Items]        
United States federal net operating loss carryforwards 202,176,000      
Valuation allowance 30,331,000 31,242,000    
Increase (decrease) in deferred tax asset (911,000)      
Income tax expense   1,883,000    
Foreign | Increase to Income Tax Expense (Benefit)        
Income Tax Contingency [Line Items]        
Increase (decrease) in deferred tax asset 2,951,000      
Foreign | Purchase Accounting Adjustment        
Income Tax Contingency [Line Items]        
Increase (decrease) in deferred tax asset (3,862,000)      
State        
Income Tax Contingency [Line Items]        
United States federal net operating loss carryforwards 28,994,000      
Valuation allowance $ 686,000 $ 686,000