Leases (Schedule of Lease Cost and Other Information Related to Company's Operating Leases) (Details) - USD ($) $ in Thousands	12 Months Ended
	Aug. 31, 2023	Aug. 31, 2022
Lease, Cost [Abstract]
Operating lease cost (cost resulting from lease payments)	$ 4,114	$ 5,573
Variable lease cost (cost excluded from lease payments)	536	552
Total lease cost	4,650	6,125
Operating cash outflows from operating leases	$ 4,205	$ 5,198
Weighted average lease term - operating leases	8 years 3 months 18 days	9 years
Weighted average discount rate - operating leases	3.50%	3.30%