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Business Acquisitions (Fiscal Year 2019 and 2020) (Details) - USD ($)
$ in Thousands
2 Months Ended
Sep. 30, 2019
Apr. 29, 2019
Aug. 31, 2020
Aug. 31, 2019
Aug. 31, 2018
Business Acquisition [Line Items]          
Goodwill     $ 696,853 $ 622,255 $ 627,745
JJMD          
Business Acquisition [Line Items]          
Amount of cash paid for business acquisitions $ 113,100 $ 167,400      
Assets acquired 196,200 173,500      
Liabilities assumed 83,100 $ 6,100      
Contract assets 80,700        
Inventory 34,000        
Goodwill 56,000        
Pension obligation $ 73,500