Income Taxes - Additional Information (Details) - USD ($) $ in Thousands	3 Months Ended
	Nov. 30, 2024	Nov. 30, 2023
Income Tax Disclosure Additional Details [Table] [Line Items]
Income tax (benefit) expense	$ 6,152	$ 5,669
Effective Income Tax Rate Reconciliation, Percent	22.10%	23.60%
Federal Statutory Income Tax Rate, Percent	21.00%
Income (Loss) from Continuing Operations before Income Taxes, Noncontrolling Interest	$ 27,875	$ 23,974