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Share Repurchase Plan (Details) - USD ($)
9 Months Ended 19 Months Ended
May 31, 2023
May 31, 2022
May 31, 2023
Oct. 12, 2021
Equity [Abstract]        
Share buy-back plan, amount authorized       $ 75,000,000
Number of shares repurchased (in shares) 41,670   180,232  
Average price of shares repurchased (in dollars per share) $ 178.41   $ 203.02  
Total cost of repurchased shares $ 7,434,000 $ 22,390,000 $ 36,600,000