Concentration of Risk and Segment Data (Revenues Disaggregated by Segment) (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	May 31, 2020	May 31, 2019	May 31, 2020	May 31, 2019
Disaggregation of Revenue [Line Items]
Net revenue	$ 6,335,642	$ 6,135,602	$ 19,966,423	$ 18,708,867
Point in time
Disaggregation of Revenue [Line Items]
Net revenue	2,343,989	1,856,038	7,732,829	6,680,045
Over time
Disaggregation of Revenue [Line Items]
Net revenue	3,991,653	4,279,564	12,233,594	12,028,822
EMS
Disaggregation of Revenue [Line Items]
Net revenue	3,912,928	3,988,489	12,160,434	11,296,319
EMS | Point in time
Disaggregation of Revenue [Line Items]
Net revenue	963,512	699,825	3,340,992	1,957,349
EMS | Over time
Disaggregation of Revenue [Line Items]
Net revenue	2,949,416	3,288,664	8,819,442	9,338,970
DMS
Disaggregation of Revenue [Line Items]
Net revenue	2,422,714	2,147,113	7,805,989	7,412,548
DMS | Point in time
Disaggregation of Revenue [Line Items]
Net revenue	1,380,477	1,156,213	4,391,837	4,722,696
DMS | Over time
Disaggregation of Revenue [Line Items]
Net revenue	$ 1,042,237	$ 990,900	$ 3,414,152	$ 2,689,852