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Share Repurchases (Narrative) (Details) - USD ($)
$ in Thousands
12 Months Ended
Aug. 31, 2024
Aug. 31, 2023
Equity [Abstract]    
Repurchase authorization amount $ 250,000  
Percentage of Excise Tax 1.00%  
Number of shares of common stock repurchased during the period 194,000 0
Repurchase of common stock $ 22,454  
Excise taxes 200  
Remaining amount available under the repurchase program $ 41,400