Concentration of Risk and Segment Data (Segment Income) (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	May 31, 2022	May 31, 2021	May 31, 2022	May 31, 2021
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Income	$ 278	$ 213	$ 879	$ 707
Reconciling items:
Amortization of intangibles	(8)	(12)	(24)	(35)
Stock-based compensation expense and related charges	(16)	(19)	(67)	(76)
Restructuring, severance and related charges	0	(1)	0	(6)
Loss on debt extinguishment	(4)	0	(4)	0
Gain on securities	0	2	0	2
Interest income	1	1	2	5
Interest expense	(39)	(34)	(105)	(97)
Operating Segments
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Income	352	277	1,096	927
Operating Segments | EMS
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Income	208	137	507	357
Operating Segments | DMS
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Income	144	140	589	570
Segment Reconciling Items
Reconciling items:
Amortization of intangibles	(8)	(12)	(24)	(35)
Stock-based compensation expense and related charges	(16)	(19)	(67)	(76)
Restructuring, severance and related charges	0	(1)	0	(6)
Business interruption and impairment charges, net	0	0	0	1
Acquisition and integration charges	0	0	0	(4)
Gain on securities	0	2	0	2
Other expense (net of periodic benefit cost)	(8)	(1)	(19)	(10)
Interest income	1	1	2	5
Interest expense	$ (39)	$ (34)	$ (105)	$ (97)