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Other Benefit Plans (Details) - USD ($)
$ in Millions
12 Months Ended
Aug. 31, 2025
Aug. 31, 2024
Aug. 31, 2023
Deferred Compensation Arrangement with Individual, Postretirement Benefits [Line Items]      
Defined contribution plan, employer matching contribution, percent of match 50.00%    
Defined contribution plan, employer matching contribution, percent of employees' gross pay 6.60%    
Defined contribution plan, maximum annual contributions per employee percent 10.00%    
Discretionary non-elective contribution, percentage 5.00%    
Pension Plan      
Deferred Compensation Arrangement with Individual, Postretirement Benefits [Line Items]      
Defined contribution plan, cost recognized $ 5.5 $ 5.2 $ 4.6
International Pension Plans      
Deferred Compensation Arrangement with Individual, Postretirement Benefits [Line Items]      
Defined contribution plan, cost recognized $ 2.7 $ 2.4 $ 2.1