Leases (Schedule of Lease Cost and Other Information Related to Company's Operating Leases) (Details) - USD ($) $ in Thousands	12 Months Ended
	Aug. 31, 2022	Aug. 31, 2021
Lease, Cost [Abstract]
Operating lease cost (cost resulting from lease payments)	$ 5,573	$ 5,441
Variable lease cost (cost excluded from lease payments)	552	508
Total lease cost	6,125	5,949
Operating cash outflows from operating leases	$ 5,198	$ 4,805
Weighted average lease term - operating leases	9 years	9 years 8 months 12 days
Weighted average discount rate - operating leases	3.30%	3.30%