Goodwill and Other Intangible Assets (Purchased Intangible Assets) (Details) - USD ($) $ in Millions	12 Months Ended
	Aug. 31, 2021	Aug. 31, 2020
Acquired Intangible Assets by Major Class [Line Items]
Weighted Average Amortization Period (in years)	11 years
Gross Carrying Amount	$ 624	$ 605
Accumulated Amortization	(442)	(395)
Net Carrying Amount	182	210
Trade names
Acquired Intangible Assets by Major Class [Line Items]
Gross Carrying Amount	51	51
Net Carrying Amount	$ 51	51
Contractual agreements and customer relationships
Acquired Intangible Assets by Major Class [Line Items]
Weighted Average Amortization Period (in years)	12 years
Gross Carrying Amount	$ 304	302
Accumulated Amortization	(217)	(200)
Net Carrying Amount	$ 87	102
Intellectual property
Acquired Intangible Assets by Major Class [Line Items]
Weighted Average Amortization Period (in years)	8 years
Gross Carrying Amount	$ 191	174
Accumulated Amortization	(169)	(164)
Net Carrying Amount	22	10
Trade names
Acquired Intangible Assets by Major Class [Line Items]
Gross Carrying Amount	78	78
Accumulated Amortization	(56)	(31)
Net Carrying Amount	$ 22	$ 47