Retirement Plans (Schedules of Net Benefit Costs) (Details) - USD ($) $ in Thousands	12 Months Ended
	Aug. 31, 2022	Aug. 31, 2021	Aug. 31, 2020
Retirement Benefits [Abstract]
Interest cost	$ 156	$ 146	$ 208
Net amortization and deferral	255	269	226
Total	$ 411	$ 415	$ 434