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Gross Carrying Value and Accumulated Amortization of Intangible Assets (Details) - USD ($)
$ in Thousands
Aug. 31, 2026
Aug. 31, 2025
Indefinite And Finite Lived Intangible Assets [Line Items]    
Finite-Lived Accumulated Amortization $ 124,400 $ 118,500
Other intangible assets, net 43,000 46,900
Intangible assets, gross 167,400 165,400
Trade Names    
Indefinite And Finite Lived Intangible Assets [Line Items]    
Intangible Asset, Finite-Lived, before Accumulated Amortization 21,600 21,600
Finite-Lived Accumulated Amortization 0 0
Net Book Value 21,600 21,600
Customer Relationships    
Indefinite And Finite Lived Intangible Assets [Line Items]    
Intangible Asset, Finite-Lived, before Accumulated Amortization 115,200 115,000
Finite-Lived Accumulated Amortization 106,300 104,100
Net Book Value $ 8,900 10,900
Weighted Average Amortization Period 14 years  
Patents    
Indefinite And Finite Lived Intangible Assets [Line Items]    
Intangible Asset, Finite-Lived, before Accumulated Amortization $ 11,200 11,200
Finite-Lived Accumulated Amortization 10,000 9,800
Net Book Value $ 1,200 1,400
Weighted Average Amortization Period 12 years  
Trademarks and Tradenames    
Indefinite And Finite Lived Intangible Assets [Line Items]    
Intangible Asset, Finite-Lived, before Accumulated Amortization $ 7,500 7,300
Finite-Lived Accumulated Amortization 5,100 3,100
Net Book Value $ 2,400 4,200
Weighted Average Amortization Period 7 years  
Technology-Based Intangible Assets    
Indefinite And Finite Lived Intangible Assets [Line Items]    
Intangible Asset, Finite-Lived, before Accumulated Amortization $ 11,900 10,300
Finite-Lived Accumulated Amortization 3,000 1,500
Net Book Value $ 8,900 $ 8,800
Weighted Average Amortization Period 7 years