Leases (Supplemental Balance Sheet) (Details) - USD ($) $ in Thousands	Aug. 31, 2025	Aug. 31, 2024
Leases [Abstract]
Operating Lease, Right-of-Use Asset	$ 35,426	$ 32,961
Operating Lease, Liability, Current	9,864	9,464
Operating Lease, Liability, Noncurrent	$ 28,215	$ 25,154
Operating Lease, Weighted Average Remaining Lease Term	6 years 7 months 6 days	7 years
Operating Lease, Weighted Average Discount Rate, Percent	5.70%	5.50%
Operating Leased Assets [Line Items]
Operating Lease, Liability, Noncurrent	$ 28,215	$ 25,154
Operating Lease, Liability, Current	9,864	9,464
Operating Lease, Right-of-Use Asset	$ 35,426	$ 32,961
Operating Lease, Liability, Noncurrent, Statement of Financial Position [Extensible Enumeration]	Other long-term liabilities	Other long-term liabilities
Operating Lease, Liability, Statement of Financial Position [Extensible Enumeration]	Other Liabilities	Other Liabilities
Operating Lease, Weighted Average Remaining Lease Term	6 years 7 months 6 days	7 years
Operating Lease, Weighted Average Discount Rate, Percent	5.70%	5.50%
Operating Lease, Right-of-Use Asset, Statement of Financial Position [Extensible Enumeration]	Other Assets, Noncurrent	Other Assets, Noncurrent
Operating Lease, Liability, Current, Statement of Financial Position [Extensible Enumeration]	Other current liabilities	Other current liabilities
Other Noncurrent Liabilities
Operating Leased Assets [Line Items]
Operating Lease, Liability, Statement of Financial Position [Extensible Enumeration]	Other Liabilities