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Income Taxes (Narrative) (Details) - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended
Feb. 29, 2024
Feb. 28, 2023
Feb. 29, 2024
Feb. 28, 2023
Income Taxes [Line Items]        
Income tax expense $ 4,574 $ 7,681 $ 10,550 $ 13,469
Estimated annual effective income tax rate     26.40% 28.20%
Tax benefit related to vesting of share based compensation awards     $ 1,000 $ 600