Gross Carrying Amount and Accumulated Amortization of Other Intangible Assets (Details) - USD ($) $ in Thousands	9 Months Ended
	May 31, 2022	Aug. 31, 2021
Indefinite And Finite Lived Intangible Assets [Line Items]
Accumulated Amortization	$ 133,577	$ 130,542
Gross Carrying Value	178,740	185,087
Net Book Value	45,163	54,545
Tradenames
Indefinite And Finite Lived Intangible Assets [Line Items]
Gross Carrying Value	23,276	24,835
Accumulated Amortization	0	0
Net Book Value	$ 23,276	24,835
Customer relationships
Indefinite And Finite Lived Intangible Assets [Line Items]
Weighted Average Amortization Period (Years)	14 years
Gross Carrying Value	$ 138,234	142,453
Accumulated Amortization	117,850	114,463
Net Book Value	$ 20,384	27,990
Patents
Indefinite And Finite Lived Intangible Assets [Line Items]
Weighted Average Amortization Period (Years)	11 years
Gross Carrying Value	$ 14,026	14,492
Accumulated Amortization	13,353	13,688
Net Book Value	$ 673	804
Trademarks and tradenames
Indefinite And Finite Lived Intangible Assets [Line Items]
Weighted Average Amortization Period (Years)	12 years
Gross Carrying Value	$ 3,204	3,307
Accumulated Amortization	2,374	2,391
Net Book Value	$ 830	$ 916