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Concentration of Risk and Segment Data (Segment Revenue) (Details) - USD ($)
$ in Thousands
12 Months Ended
Aug. 31, 2019
Aug. 31, 2018
Aug. 31, 2017
Segment Reporting, Revenue Reconciling Item [Line Items]      
Net revenue $ 25,282,320 $ 22,095,416 $ 19,063,121
EMS      
Segment Reporting, Revenue Reconciling Item [Line Items]      
Net revenue 15,430,529 12,268,600 11,077,622
DMS      
Segment Reporting, Revenue Reconciling Item [Line Items]      
Net revenue $ 9,851,791 $ 9,826,816 $ 7,985,499