Goodwill and Other Intangible Assets (Details) - USD ($) $ in Thousands	12 Months Ended
	Aug. 31, 2025	Aug. 31, 2024	Aug. 31, 2023
Goodwill [Line Items]
Impairment and divestiture (benefit) charges	$ 0	$ 147	$ (6,155)
Future amortization expense, 2021	5,800
Future amortization expense, 2022	5,700
Future amortization expense, 2023	3,600
Future amortization expense, 2024	3,500
Future amortization expense, 2025	2,600
Future amortization expense, thereafter	2,300
Other Operating Segment [Member]
Goodwill [Line Items]
Impairment and divestiture (benefit) charges	$ 0	$ 147	$ (6,155)