Gross Carrying Amount and Accumulated Amortization of Other Intangible Assets (Details) - USD ($) $ in Thousands	Nov. 30, 2023	Aug. 31, 2023
Indefinite And Finite Lived Intangible Assets [Line Items]
Accumulated Amortization	$ 107,622	$ 106,802
Statement of Financial Position [Abstract]
Gross Carrying Value	145,348	144,140
Net Book Value	37,726	37,338
Tradenames
Indefinite And Finite Lived Intangible Assets [Line Items]
Gross Carrying Value	24,554	23,345
Accumulated Amortization	0	0
Net Book Value	$ 24,554	23,345
Customer relationships
Indefinite And Finite Lived Intangible Assets [Line Items]
Weighted Average Amortization Period (Years)	14 years
Gross Carrying Value	$ 108,309	108,292
Accumulated Amortization	96,187	95,395
Net Book Value	$ 12,122	12,897
Patents
Indefinite And Finite Lived Intangible Assets [Line Items]
Weighted Average Amortization Period (Years)	13 years
Gross Carrying Value	$ 9,753	9,769
Accumulated Amortization	9,220	9,210
Net Book Value	$ 533	559
Trademarks and tradenames
Indefinite And Finite Lived Intangible Assets [Line Items]
Weighted Average Amortization Period (Years)	14 years
Gross Carrying Value	$ 2,732	2,734
Accumulated Amortization	2,215	2,197
Net Book Value	$ 517	$ 537