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Share Repurchase Plan (Details) - USD ($)
$ / shares in Units, $ in Thousands
9 Months Ended
May 31, 2025
May 31, 2024
Jun. 19, 2023
Equity [Abstract]      
Share repurchase plan, amount authorized     $ 50,000
Number of shares repurchased (in shares) 39,000    
Average price of shares repurchased (in dollars per share) $ 249.71    
Total cost of repurchased shares $ 9,739 $ 8,094  
Share repurchase plan, remaining amount authorized $ 32,200