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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