Concentration of Risk and Segment Data (Revenues Disaggregated by Segment) (Details) - USD ($) $ in Thousands	3 Months Ended		6 Months Ended
	Feb. 29, 2020	Feb. 28, 2019	Feb. 29, 2020	Feb. 28, 2019
Disaggregation of Revenue [Line Items]
Net revenue	$ 6,125,083	$ 6,066,990	$ 13,630,781	$ 12,573,265
Point in time
Disaggregation of Revenue [Line Items]
Net revenue	2,128,451	2,301,695	5,388,840	4,824,007
Over time
Disaggregation of Revenue [Line Items]
Net revenue	3,996,632	3,765,295	8,241,941	7,749,258
EMS
Disaggregation of Revenue [Line Items]
Net revenue	3,829,954	3,804,727	8,247,506	7,307,830
EMS | Point in time
Disaggregation of Revenue [Line Items]
Net revenue	986,570	836,863	2,377,480	1,257,524
EMS | Over time
Disaggregation of Revenue [Line Items]
Net revenue	2,843,384	2,967,864	5,870,026	6,050,306
DMS
Disaggregation of Revenue [Line Items]
Net revenue	2,295,129	2,262,263	5,383,275	5,265,435
DMS | Point in time
Disaggregation of Revenue [Line Items]
Net revenue	1,141,881	1,464,832	3,011,360	3,566,483
DMS | Over time
Disaggregation of Revenue [Line Items]
Net revenue	$ 1,153,248	$ 797,431	$ 2,371,915	$ 1,698,952