Income Taxes - Additional Information (Details) - USD ($) $ in Thousands	3 Months Ended		6 Months Ended
	Feb. 28, 2026	Feb. 28, 2025	Feb. 28, 2026	Feb. 28, 2025
Income Tax Disclosure Additional Details [Table] [Line Items]
Income tax (benefit) expense	$ 5,807	$ 6,798	$ 12,232	$ 12,951
Effective Income Tax Rate Reconciliation, Percent	26.30%	24.50%	25.70%	23.30%
Federal Statutory Income Tax Rate, Percent			21.00%
Income (Loss) from Continuing Operations before Income Taxes, Noncontrolling Interest	$ 22,115	$ 27,699	$ 47,671	$ 55,575