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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

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