Leases (Operating Lease Cost) (Details) - USD ($) $ in Thousands	12 Months Ended
	Aug. 31, 2022	Aug. 31, 2021
Leases [Abstract]
Operating Lease, Cost	$ 14,316	$ 15,170
Short-term Lease, Cost	1,714	1,611
Variable Lease, Cost	$ 3,609	$ 3,086
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