Income Taxes - Additional Information (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	May 31, 2026	May 31, 2025	May 31, 2026	May 31, 2025
Income Tax Disclosure Additional Details [Table] [Line Items]
Income tax (benefit) expense	$ 8,895	$ 6,295	$ 21,127	$ 19,246
Effective Income Tax Rate Reconciliation, Percent	23.00%	22.20%	24.50%	22.90%
Federal Statutory Income Tax Rate, Percent			21.00%
Income (Loss) from Continuing Operations before Income Taxes, Noncontrolling Interest	$ 38,693	$ 28,339	$ 86,365	$ 83,914