Leases (Operating Lease Cost) (Details) - USD ($) $ in Thousands	12 Months Ended
	Aug. 31, 2024	Aug. 31, 2023	Aug. 31, 2022
Leases [Abstract]
Operating Lease, Cost	$ 12,610	$ 13,155	$ 14,316
Short-term Lease, Cost	2,042	2,318	1,714
Variable Lease, Cost	$ 2,850	$ 4,411	$ 3,609
Schedule Of Operating Leased Balance Sheet Items [Line Items]
Operating Lease, Liability, Statement of Financial Position [Extensible Enumeration]	Other Liabilities	Other Liabilities
Other Noncurrent Liabilities
Schedule Of Operating Leased Balance Sheet Items [Line Items]
Operating Lease, Liability, Statement of Financial Position [Extensible Enumeration]	Other Liabilities