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Income Taxes (Narrative) (Details) - USD ($) $ in Thousands | 3 Months Ended | 6 Months Ended
--- | --- | ---
Feb. 28, 2025 | Feb. 29, 2024 | Feb. 28, 2025 | Feb. 29, 2024
Income Taxes [Line Items] |  |  |  |
Income tax expense | $ 6,638 | $ 4,574 | $ 11,508 | $ 10,550
Estimated annual effective income tax rate |  |  | 20.90% | 26.40%
Discrete income tax benefit |  |  |  | $ 1,000

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