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Income Taxes (Narrative) (Details) - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended
Feb. 28, 2023
Feb. 28, 2022
Feb. 28, 2023
Feb. 28, 2022
Income Taxes [Line Items]        
Income tax expense $ 7,681 $ 4,638 $ 13,469 $ 6,213
Estimated annual effective income tax rate     28.20% 25.50%
Tax benefit related to vesting of share based compensation awards     $ 600 $ 1,100