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Concentration of Risk and Segment Data (Segment Assets) (Details) - USD ($)
$ in Thousands
Feb. 28, 2021
Aug. 31, 2020
Segment Reporting, Asset Reconciling Item [Line Items]    
Assets $ 14,494,163 $ 14,397,416
Operating Segments | EMS    
Segment Reporting, Asset Reconciling Item [Line Items]    
Assets 3,765,147 3,233,681
Operating Segments | DMS    
Segment Reporting, Asset Reconciling Item [Line Items]    
Assets 6,798,932 6,641,764
Other non-allocated assets    
Segment Reporting, Asset Reconciling Item [Line Items]    
Assets $ 3,930,084 $ 4,521,971