Concentration of Risk and Segment Data (Revenues Disaggregated by Segment) (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	May 31, 2021	May 31, 2020	May 31, 2021	May 31, 2020
Disaggregation of Revenue [Line Items]
Net revenue	$ 7,214,645	$ 6,335,642	$ 21,875,721	$ 19,966,423
Point in time
Disaggregation of Revenue [Line Items]
Net revenue	2,787,342	2,343,989	8,685,418	7,732,829
Over time
Disaggregation of Revenue [Line Items]
Net revenue	4,427,303	3,991,653	13,190,303	12,233,594
EMS
Disaggregation of Revenue [Line Items]
Net revenue	3,642,992	3,387,289	10,415,521	10,367,040
EMS | Point in time
Disaggregation of Revenue [Line Items]
Net revenue	1,346,207	958,786	3,222,365	3,323,119
EMS | Over time
Disaggregation of Revenue [Line Items]
Net revenue	2,296,785	2,428,503	7,193,156	7,043,921
DMS
Disaggregation of Revenue [Line Items]
Net revenue	3,571,653	2,948,353	11,460,200	9,599,383
DMS | Point in time
Disaggregation of Revenue [Line Items]
Net revenue	1,441,135	1,385,203	5,463,053	4,409,710
DMS | Over time
Disaggregation of Revenue [Line Items]
Net revenue	$ 2,130,518	$ 1,563,150	$ 5,997,147	$ 5,189,673