Retirement Plans (Schedules of Net Benefit Costs) (Details) - USD ($) $ in Thousands	12 Months Ended
	Aug. 31, 2024	Aug. 31, 2023	Aug. 31, 2022
Retirement Benefits [Abstract]
Interest cost	$ 232	$ 211	$ 156
Net amortization and deferral	191	211	255
Total	$ 423	$ 422	$ 411