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Concentration of Risk and Segment Data (Revenues Disaggregated by Segment) (Details) - USD ($) $ in Thousands	3 Months Ended
	Nov. 30, 2020	Nov. 30, 2019
Disaggregation of Revenue [Line Items]
Net revenue	$ 7,832,529	$ 7,505,698
Point in time
Disaggregation of Revenue [Line Items]
Net revenue	3,296,847	3,260,389
Over time
Disaggregation of Revenue [Line Items]
Net revenue	4,535,682	4,245,309
EMS
Disaggregation of Revenue [Line Items]
Net revenue	3,593,047	3,758,938
EMS | Point in time
Disaggregation of Revenue [Line Items]
Net revenue	1,057,019	1,383,752
EMS | Over time
Disaggregation of Revenue [Line Items]
Net revenue	2,536,028	2,375,186
DMS
Disaggregation of Revenue [Line Items]
Net revenue	4,239,482	3,746,760
DMS | Point in time
Disaggregation of Revenue [Line Items]
Net revenue	2,239,828	1,876,637
DMS | Over time
Disaggregation of Revenue [Line Items]
Net revenue	$ 1,999,654	$ 1,870,123

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