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Divestiture Activities- Additional Information (Detail) - USD ($)
$ in Thousands
3 Months Ended 12 Months Ended
Jul. 11, 2023
Oct. 31, 2019
Nov. 30, 2023
Aug. 31, 2024
Aug. 31, 2023
Aug. 31, 2022
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]            
Impairment and divestiture (benefit) charges       $ 147 $ (6,155) $ 2,413
Proceeds from sale of businesses, net of transaction costs       0 20,057 0
Disposal Group, Including Discontinued Operation, Accounts Payable and Accrued Liabilities, Current [Abstract]            
Discontinued Operation, Income (Loss) from Discontinued Operation, before Income Tax       $ 6,054 (8,911) (4,842)
Engineered Components & Systems [Member] [Domain]            
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]            
Disposal Date   Oct. 31, 2019        
Cortland Industrial            
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]            
Disposal Date Jul. 11, 2023          
Proceeds from sale of businesses, net of transaction costs $ 20,100          
Disposal Group, Not Discontinued Operation, annual revenue         $ 22,700 $ 26,200
Disposal Group, Including Discontinued Operation, Accounts Payable and Accrued Liabilities, Current [Abstract]            
Gain Loss On Disposal $ (6,000)   $ 100