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Income Taxes (Narrative) (Details) - USD ($) $ in Thousands | 3 Months Ended | 9 Months Ended
--- | --- | ---
May 31, 2025 | May 31, 2024 | May 31, 2025 | May 31, 2024
Income Taxes [Line Items] |  |  |  |
Income tax expense (benefit) | $ 6,214 | $ (206) | $ 17,722 | $ 10,344
Estimated annual effective income tax rate |  |  | 22.30% | 25.70%
Discrete benefit |  | $ 4,800 |  |

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