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Gross Carrying Amount and Accumulated Amortization of Other Intangible Assets (Details) - USD ($)
$ in Thousands
3 Months Ended
Feb. 29, 2020
Aug. 31, 2019
Indefinite And Finite Lived Intangible Assets [Line Items]    
Accumulated Amortization $ 115,637 $ 112,014
Gross Carrying Value 182,138 164,389
Net Book Value 66,501 52,375
Tradenames    
Indefinite And Finite Lived Intangible Assets [Line Items]    
Accumulated Amortization 0 0
Indefinite-lived Intangible Assets (Excluding Goodwill) $ 24,629 20,420
Customer relationships    
Indefinite And Finite Lived Intangible Assets [Line Items]    
Weighted Average Amortization Period (Years) 14 years  
Gross Carrying Value $ 140,239 126,229
Accumulated Amortization 100,895 96,817
Net Book Value $ 39,344 29,412
Patents    
Indefinite And Finite Lived Intangible Assets [Line Items]    
Weighted Average Amortization Period (Years) 12 years  
Gross Carrying Value $ 14,068 13,227
Accumulated Amortization 12,723 12,276
Net Book Value $ 1,345 951
Trademarks and tradenames    
Indefinite And Finite Lived Intangible Assets [Line Items]    
Weighted Average Amortization Period (Years) 12 years  
Gross Carrying Value $ 3,202 4,513
Accumulated Amortization 2,019 2,921
Net Book Value $ 1,183 $ 1,592