Gross Carrying Amount and Accumulated Amortization of Other Intangible Assets (Details) - USD ($) $ in Thousands	3 Months Ended
	Nov. 30, 2022	Aug. 31, 2022
Indefinite And Finite Lived Intangible Assets [Line Items]
Accumulated Amortization	$ 135,225	$ 132,708
Gross Carrying Value	176,256	174,215
Net Book Value	41,031	41,507
Tradenames
Indefinite And Finite Lived Intangible Assets [Line Items]
Gross Carrying Value	22,722	22,274
Accumulated Amortization	0	0
Net Book Value	$ 22,722	22,274
Customer relationships
Indefinite And Finite Lived Intangible Assets [Line Items]
Weighted Average Amortization Period (Years)	14 years
Gross Carrying Value	$ 136,521	135,101
Accumulated Amortization	119,590	117,275
Net Book Value	$ 16,931	17,826
Patents
Indefinite And Finite Lived Intangible Assets [Line Items]
Weighted Average Amortization Period (Years)	11 years
Gross Carrying Value	$ 13,849	13,708
Accumulated Amortization	13,248	13,104
Net Book Value	$ 601	604
Trademarks and tradenames
Indefinite And Finite Lived Intangible Assets [Line Items]
Weighted Average Amortization Period (Years)	12 years
Gross Carrying Value	$ 3,164	3,132
Accumulated Amortization	2,387	2,329
Net Book Value	$ 777	$ 803