Income Taxes - Additional Information (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	May 31, 2025	May 31, 2024	May 31, 2025	May 31, 2024
Income Tax Disclosure Additional Details [Table] [Line Items]
Income tax (benefit) expense	$ 6,295	$ 6,813	$ 19,246	$ 19,877
Effective Income Tax Rate Reconciliation, Percent	22.20%	23.10%	22.90%	25.30%
Federal Statutory Income Tax Rate, Percent			21.00%
Income (Loss) from Continuing Operations before Income Taxes, Noncontrolling Interest	$ 28,339	$ 29,434	$ 83,914	$ 78,675