Gross Carrying Amount and Accumulated Amortization of Other Intangible Assets (Details) - USD ($) $ in Thousands	6 Months Ended
	Feb. 28, 2021	Aug. 31, 2020
Indefinite And Finite Lived Intangible Assets [Line Items]
Accumulated Amortization	$ 127,254	$ 121,976
Gross Carrying Value	186,234	184,358
Net Book Value	$ 58,980	62,382
Customer relationships
Indefinite And Finite Lived Intangible Assets [Line Items]
Weighted Average Amortization Period (Years)	14 years
Gross Carrying Value	$ 143,325	141,853
Accumulated Amortization	111,267	106,491
Net Book Value	$ 32,058	35,362
Patents
Indefinite And Finite Lived Intangible Assets [Line Items]
Weighted Average Amortization Period (Years)	12 years
Gross Carrying Value	$ 14,547	14,365
Accumulated Amortization	13,635	13,228
Net Book Value	$ 912	1,137
Trademarks and tradenames
Indefinite And Finite Lived Intangible Assets [Line Items]
Weighted Average Amortization Period (Years)	12 years
Gross Carrying Value	$ 3,321	3,277
Accumulated Amortization	2,352	2,257
Net Book Value	969	1,020
Tradenames
Indefinite And Finite Lived Intangible Assets [Line Items]
Gross Carrying Value	25,041	24,863
Accumulated Amortization	0	0
Net Book Value	$ 25,041	$ 24,863