Basic and Diluted Earnings Per Share (Details) - USD ($) $ / shares in Units, shares in Millions, $ in Millions	3 Months Ended		6 Months Ended
	Apr. 02, 2022	Apr. 03, 2021	Apr. 02, 2022	Apr. 03, 2021
Numerator [Abstract]
Consolidated net income	$ 205	$ 181	$ 326	$ 311
Denominator [Abstract]
Weighted average common shares outstanding - basic (in shares)	133.8	134.3	134.6	133.9
Dilutive shares (in shares)	3.1	2.5	3.4	2.7
Weighted average common and common equivalent shares outstanding - diluted (in shares)	136.9	136.8	138.0	136.6
Per Common Share Earnings [Abstract]
Basic (in dollars per share)	$ 1.53	$ 1.35	$ 2.42	$ 2.32
Diluted (in dollars per share)	$ 1.50	$ 1.32	$ 2.36	$ 2.28
Antidilutive Shares [Abstract]
Antidilutive shares excluded from computation of earnings per share (in shares)	1.2		1.3	3.2