Goodwill and Other Intangibles Schedule of Goodwill and Other Intangibles, Net (Details) - USD ($)	Jan. 01, 2022	Oct. 02, 2021	Jan. 02, 2021
Finite-Lived Intangible Assets [Line Items]
Goodwill	$ 5,625,000,000		$ 5,637,000,000
Total other intangibles—net	830,000,000		892,000,000
Brand Names and Trademarks
Finite-Lived Intangible Assets [Line Items]
Brand names and trademarks—not amortizing	271,000,000		281,000,000
Customer Relationships
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	655,000,000		725,000,000
Accumulated amortization	(99,000,000)		(119,000,000)
Net carrying value	556,000,000		606,000,000
Trade Names [Member]
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	4,000,000	$ 3,000,000	15,000,000
Accumulated amortization	(1,000,000)		(11,000,000)
Net carrying value	3,000,000		4,000,000
Noncompete Agreements
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	3,000,000		3,000,000
Accumulated amortization	(3,000,000)		(2,000,000)
Net carrying value	$ 0		$ 1,000,000