Goodwill and Other Intangible Assets (Details) - USD ($) $ in Thousands	12 Months Ended
	Aug. 31, 2026	Aug. 31, 2025	Aug. 31, 2024
Goodwill [Line Items]
Impairment and divestiture (benefit) charges	$ 0	$ 0	$ 100
Future amortization expense, 2021	6,000
Future amortization expense, 2022	3,900
Future amortization expense, 2023	3,700
Future amortization expense, 2024	2,900
Future amortization expense, 2025	2,300
Future amortization expense, thereafter	2,600
Other Operating Segment [Member]
Goodwill [Line Items]
Impairment and divestiture (benefit) charges	$ 0	$ 0	$ 100