Gross Carrying Value and Accumulated Amortization of Intangible Assets (Details) - USD ($) $ in Thousands	Aug. 31, 2025	Aug. 31, 2024
Indefinite And Finite Lived Intangible Assets [Line Items]
Finite-Lived Accumulated Amortization	$ 118,448	$ 111,246
Other intangible assets, net	46,942	36,058
Intangible assets, gross	165,390	147,304
Trade Names
Indefinite And Finite Lived Intangible Assets [Line Items]
Finite-Lived Intangible Assets, Gross	21,568	25,042
Finite-Lived Accumulated Amortization	0	0
Net Book Value	21,568	25,042
Customer Relationships
Indefinite And Finite Lived Intangible Assets [Line Items]
Finite-Lived Intangible Assets, Gross	115,055	109,582
Finite-Lived Accumulated Amortization	104,083	99,530
Net Book Value	$ 10,972	10,052
Weighted Average Amortization Period	14 years
Patents
Indefinite And Finite Lived Intangible Assets [Line Items]
Finite-Lived Intangible Assets, Gross	$ 11,193	9,916
Finite-Lived Accumulated Amortization	9,796	9,408
Net Book Value	$ 1,397	508
Weighted Average Amortization Period	12 years
Trademarks and Tradenames
Indefinite And Finite Lived Intangible Assets [Line Items]
Finite-Lived Intangible Assets, Gross	$ 7,291	2,764
Finite-Lived Accumulated Amortization	3,100	2,308
Net Book Value	$ 4,191	456
Weighted Average Amortization Period	7 years
Technology-Based Intangible Assets
Indefinite And Finite Lived Intangible Assets [Line Items]
Finite-Lived Intangible Assets, Gross	$ 10,283	0
Finite-Lived Accumulated Amortization	1,469	0
Net Book Value	$ 8,814	$ 0
Weighted Average Amortization Period	7 years