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Revenue from Contracts with Customers (Details) - USD ($)
$ in Thousands
12 Months Ended
Aug. 31, 2024
Aug. 31, 2023
Compensation Related Costs [Abstract]    
Accounts Receivable, allowance for doubtful accounts $ 15,900 $ 16,800
Accounts Receivable, Allowance for Credit Loss, Period Increase (Decrease) $ 13,200  
Concentration Risk, Customer 10.9