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Concentration of Risk and Segment Data (Revenues Disaggregated by Segment) (Details) - USD ($) $ in Thousands	3 Months Ended		6 Months Ended
	Feb. 28, 2021	Feb. 29, 2020	Feb. 28, 2021	Feb. 29, 2020
Disaggregation of Revenue [Line Items]
Net revenue	$ 6,828,546	$ 6,125,083	$ 14,661,075	$ 13,630,781
Point in time
Disaggregation of Revenue [Line Items]
Net revenue	2,601,228	2,128,451	5,898,075	5,388,840
Over time
Disaggregation of Revenue [Line Items]
Net revenue	4,227,318	3,996,632	8,763,000	8,241,941
EMS
Disaggregation of Revenue [Line Items]
Net revenue	3,179,482	3,220,813	6,772,529	6,979,751
EMS | Point in time
Disaggregation of Revenue [Line Items]
Net revenue	819,139	980,581	1,876,158	2,364,333
EMS | Over time
Disaggregation of Revenue [Line Items]
Net revenue	2,360,343	2,240,232	4,896,371	4,615,418
DMS
Disaggregation of Revenue [Line Items]
Net revenue	3,649,064	2,904,270	7,888,546	6,651,030
DMS | Point in time
Disaggregation of Revenue [Line Items]
Net revenue	1,782,089	1,147,870	4,021,917	3,024,507
DMS | Over time
Disaggregation of Revenue [Line Items]
Net revenue	$ 1,866,975	$ 1,756,400	$ 3,866,629	$ 3,626,523

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