Gross Carrying Value and Accumulated Amortization of Intangible Assets (Details) - USD ($) $ in Thousands	Aug. 31, 2024	Aug. 31, 2023
Indefinite And Finite Lived Intangible Assets [Line Items]
Finite-Lived Accumulated Amortization	$ 111,246	$ 106,802
Other intangible assets, net	36,058	37,338
Intangible assets, gross	147,304	144,140
Trade Names
Indefinite And Finite Lived Intangible Assets [Line Items]
Finite-Lived Intangible Assets, Gross	25,042	23,345
Finite-Lived Accumulated Amortization	0	0
Net Book Value	25,042	23,345
Customer Relationships
Indefinite And Finite Lived Intangible Assets [Line Items]
Finite-Lived Intangible Assets, Gross	109,582	108,292
Finite-Lived Accumulated Amortization	99,530	95,395
Net Book Value	$ 10,052	12,897
Weighted Average Amortization Period	14 years
Patents
Indefinite And Finite Lived Intangible Assets [Line Items]
Finite-Lived Intangible Assets, Gross	$ 9,916	9,769
Finite-Lived Accumulated Amortization	9,408	9,210
Net Book Value	$ 508	559
Weighted Average Amortization Period	13 years
Trademarks and Tradenames
Indefinite And Finite Lived Intangible Assets [Line Items]
Finite-Lived Intangible Assets, Gross	$ 2,764	2,734
Finite-Lived Accumulated Amortization	2,308	2,197
Net Book Value	$ 456	$ 537
Weighted Average Amortization Period	14 years