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Reconciliation of Income Taxes at Federal Statutory Rate to Effective Tax Rate (Details) - USD ($)
$ in Thousands
12 Months Ended
Aug. 31, 2026
Aug. 31, 2025
Aug. 31, 2024
Effective Income Tax Rate Reconciliation, Percent [Abstract]      
Federal statutory rate 21.00% 21.00% 21.00%
State income taxes, net of federal effect 0.30% 0.20% 1.30%
Net effects of foreign tax rate differential and credits   3.30% 4.20%
Effective Income Tax Rate Reconciliation, FDDEI, Percent (3.10%) (1.90%) (2.30%)
Effective Income Tax Rate Reconciliation, Compensation Adjustment   0.70% 2.00%
Effective Income Tax Rate Reconciliation, Change in Deferred Tax Assets Valuation Allowance, Percent   0.00% (4.10%)
Changes in liability for unrecognized tax benefits (0.30%) 0.20% (1.30%)
Effective Income Tax Rate Reconciliation, U.S. Legislative changes   (0.70%) 1.60%
Effective Income Tax Rate Reconciliation, Nondeductible Expense, Percent 2.10% 0.00% 0.30%
Effective Income Tax Rate Reconciliation, Audits and Adjustments   0.30% 0.40%
Effective Income Tax Rate Reconciliation, Nondeductible Expense, Research and Development, Percent   (0.40%) (0.60%)
Effective income tax rate 23.70% 23.20% 22.10%
Impairment and divestiture (benefit) charges $ 0 $ 0 $ 100
Effective Income Tax Rate Reconciliation, Withholding Tax, Foreign, Amount   3,000 3,400
Effective Income Tax Rate Reconciliation audits and adjustments, amount   $ 400 $ 400
Effective Income Tax Rate Reconciliation at Federal Statutory Income Tax Rate, Amount United States    
Effective Income Tax Rate Reconciliation, State and Local Income Taxes, Amount $ 400    
Effective Income Tax Rate Reconciliation, FDDEI, Amount $ (3,700)    
Effective Income Tax Rate Reconciliation, Cross Border Tax Laws, Unremitted Earnings, Percent 1.40%    
Effective Income Tax Rate Reconciliation, Cross Border Tax Laws, Unremitted Earnings, Amount $ 1,600    
Effective Income Tax Rate Reconciliation, Cross-Border, Other, Percent 0.60%    
Effective Income Tax Rate Reconciliation, Other Reconciling Items, Percent 0.20% 0.50% (0.40%)
Effective Income Tax Rate Reconciliation, Cross-Border, Other, Amount $ 700    
Effective Income Tax Rate Reconciliation, Tax Credit, Percent (0.30%)    
Effective Income Tax Rate Reconciliation, Tax Credit, Amount $ (300)    
Effective Income Tax Rate Reconciliation, Nondeductible Expense, Amount $ 2,400    
Effective Income Tax Rate Reconciliation, Nondeductible Expense, Other, Percent (1.30%)    
Effective Income Tax Rate Reconciliation, Nondeductible Expense, Other, Amount $ (1,600)    
Effective Income Tax Rate Reconciliation, Tax Contingency, Amount (300)    
Effective Income Tax Rate Reconciliation, Other Reconciling Items, Amount 200    
Income tax expense 27,800 $ 28,000 $ 23,300
Income Tax Disclosure Additional Details [Line Items]      
Effective Income Tax Rate Reconciliation, Other Reconciling Items, Amount $ 200    
Net effects of foreign tax rate differential and credits   3.30% 4.20%
Effective Income Tax Rate Reconciliation, Other Reconciling Items, Percent 0.20% 0.50% (0.40%)
Effective Income Tax Rate Reconciliation at Federal Statutory Income Tax Rate, Amount $ 24,700    
Effective Income Tax Rate Reconciliation audits and adjustments, amount   $ 400 $ 400
NETHERLANDS      
Effective Income Tax Rate Reconciliation, Percent [Abstract]      
Net effects of foreign tax rate differential and credits 1.80%    
Effective Income Tax Rate Reconciliation, Foreign Income Tax Rate Differential, Amount $ 2,100    
Effective Income Tax Rate Reconciliation, Other Reconciling Items, Percent 0.40%    
Effective Income Tax Rate Reconciliation, Other Reconciling Items, Amount $ 500    
Income Tax Disclosure Additional Details [Line Items]      
Effective Income Tax Rate Reconciliation, Foreign Income Tax Rate Differential, Amount 2,100    
Effective Income Tax Rate Reconciliation, Other Reconciling Items, Amount $ 500    
Net effects of foreign tax rate differential and credits 1.80%    
Effective Income Tax Rate Reconciliation, Other Reconciling Items, Percent 0.40%    
UNITED KINGDOM      
Effective Income Tax Rate Reconciliation, Percent [Abstract]      
Net effects of foreign tax rate differential and credits (1.10%)    
Effective Income Tax Rate Reconciliation, Foreign Income Tax Rate Differential, Amount $ (1,300)    
Effective Income Tax Rate Reconciliation, Other Reconciling Items, Percent 0.90%    
Effective Income Tax Rate Reconciliation, Other Reconciling Items, Amount $ 1,100    
Income Tax Disclosure Additional Details [Line Items]      
Effective Income Tax Rate Reconciliation, Foreign Income Tax Rate Differential, Amount (1,300)    
Effective Income Tax Rate Reconciliation, Other Reconciling Items, Amount $ 1,100    
Net effects of foreign tax rate differential and credits (1.10%)    
Effective Income Tax Rate Reconciliation, Other Reconciling Items, Percent 0.90%    
All Other Foreign Countries      
Effective Income Tax Rate Reconciliation, Percent [Abstract]      
Net effects of foreign tax rate differential and credits 1.10%    
Effective Income Tax Rate Reconciliation, Foreign Income Tax Rate Differential, Amount $ 1,300    
Income Tax Disclosure Additional Details [Line Items]      
Effective Income Tax Rate Reconciliation, Foreign Income Tax Rate Differential, Amount $ 1,300    
Net effects of foreign tax rate differential and credits 1.10%