Consolidated Statements of Changes in Stockholders' Equity - USD ($) $ in Millions	Common Stock [Member]	Additional Paid-in Capital [Member]	Accumulated Other Comprehensive Loss [Member]	Retained Earnings [Member]	Total
Balance at Oct. 02, 2021	$ 1	$ 1,134	$ (296)	$ 2,341	$ 3,180
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	0	0	0	121	121
Other comprehensive income	0	0	7	0	7
Share-based compensation	0	21	0	0	21
Proceeds from issuance of common stock	0	16	0	0	16
Common stock repurchased and retired	0	(1)	0	(50)	(51)
Balance at Jan. 01, 2022	1	1,170	(289)	2,412	3,294
Balance at Oct. 01, 2022	1	1,177	(403)	2,421	3,196
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	0	0	0	106	106
Other comprehensive income	0	0	140	0	140
Share-based compensation	0	23	0	0	23
Proceeds from issuance of common stock	0	5	0	0	5
Common stock repurchased and retired	0	(6)	0	(172)	(178)
Dividends paid	0	0	0	(33)	(33)
Balance at Dec. 31, 2022	$ 1	$ 1,199	$ (263)	$ 2,322	$ 3,259