Retirement Plans (Schedules of Net Benefit Costs) (Details) - USD ($) $ in Thousands	12 Months Ended
	Aug. 31, 2025	Aug. 31, 2024	Aug. 31, 2023
Retirement Benefits [Abstract]
Interest cost	$ 226	$ 232	$ 211
Net amortization and deferral	193	191	211
Total	$ 419	$ 423	$ 422