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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