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Income Taxes (Narrative) (Details) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
May 31, 2023
May 31, 2022
May 31, 2023
May 31, 2022
Income Taxes [Line Items]        
Income tax expense $ 8,851 $ 10,483 $ 22,320 $ 16,696
Estimated annual effective income tax rate     30.70% 28.20%
Tax benefit related to vesting of share based compensation awards     $ 800 $ 1,400