Leases (Supplemental Balance Sheet Information Related to Operating Leases) (Details) - USD ($) $ in Thousands	Aug. 31, 2022	Aug. 31, 2021
Leases [Abstract]
Operating lease ROU assets	$ 19,181	$ 18,281
Operating lease short-term liabilities	$ 3,159	$ 3,991
Operating Lease, Liability, Current, Statement of Financial Position [Extensible Enumeration]	Other current liabilities	Other current liabilities
Operating lease long-term liabilities	$ 19,810	$ 18,301
Operating Lease, Liability, Noncurrent, Statement of Financial Position [Extensible Enumeration]	Operating lease long-term liabilities	Operating lease long-term liabilities
Total lease liabilities	$ 22,969	$ 22,292