Gross Carrying Amount and Accumulated Amortization of Other Intangible Assets (Details) - USD ($) $ in Thousands	9 Months Ended
	May 31, 2021	Aug. 31, 2020
Indefinite And Finite Lived Intangible Assets [Line Items]
Accumulated Amortization	$ 130,050	$ 121,976
Gross Carrying Value	187,676	184,358
Net Book Value	$ 57,626	62,382
Customer relationships
Indefinite And Finite Lived Intangible Assets [Line Items]
Weighted Average Amortization Period (Years)	14 years
Gross Carrying Value	$ 144,336	141,853
Accumulated Amortization	113,848	106,491
Net Book Value	$ 30,488	35,362
Patents
Indefinite And Finite Lived Intangible Assets [Line Items]
Weighted Average Amortization Period (Years)	12 years
Gross Carrying Value	$ 14,645	14,365
Accumulated Amortization	13,793	13,228
Net Book Value	$ 852	1,137
Trademarks and tradenames
Indefinite And Finite Lived Intangible Assets [Line Items]
Weighted Average Amortization Period (Years)	12 years
Gross Carrying Value	$ 3,360	3,277
Accumulated Amortization	2,409	2,257
Net Book Value	951	1,020
Tradenames
Indefinite And Finite Lived Intangible Assets [Line Items]
Gross Carrying Value	25,335	24,863
Accumulated Amortization	0	0
Net Book Value	$ 25,335	$ 24,863