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Share Repurchase Plan (Narrative) (Details) - USD ($)
$ / shares in Units, $ in Thousands
12 Months Ended
Aug. 31, 2022
Aug. 31, 2020
Oct. 12, 2021
Share Repurchase Plan [Abstract]      
Share buy-back plan, amount authorized     $ 75,000
Share buy-back plan, number of shares repurchased 138,562    
Average price of shares repurchased $ 210.39    
Total cost of repurchased shares $ 29,156 $ 16,825