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Share Repurchase Plan (Details) - USD ($)
$ / shares in Units, $ in Thousands
12 Months Ended
Aug. 31, 2024
Aug. 31, 2023
Aug. 31, 2022
Jun. 19, 2023
Equity [Abstract]        
Share buy-back plan, amount authorized       $ 50,000
Number of shares repurchased (in shares) 34,250      
Average price of shares repurchased (in dollars per share) $ 236.32      
Total cost of repurchased shares $ 8,094 $ 10,434 $ 29,156