Leases (Operating Lease Cost) (Details) - USD ($) $ in Thousands	12 Months Ended
	Aug. 31, 2025	Aug. 31, 2024	Aug. 31, 2023
Leases [Abstract]
Operating Lease, Cost	$ 12,299	$ 12,610	$ 13,155
Short-term Lease, Cost	1,668	2,042	2,318
Variable Lease, Cost	$ 2,956	$ 2,850	$ 4,411
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