Earnings Per Share (Details) - USD ($) $ / shares in Units, shares in Millions, $ in Millions	12 Months Ended
	Oct. 03, 2025	Sep. 27, 2024	Sep. 29, 2023
Earnings Per Share [Abstract]
Net income	$ 477.1	$ 596.0	$ 982.8
Weighted average shares outstanding - basic (in shares)	154.4	160.1	159.4
Dilutive effect of equity-based awards (in shares)	0.7	1.4	0.9
Weighted average shares outstanding - diluted (in shares)	155.1	161.5	160.3
Basic (in dollars per share)	$ 3.09	$ 3.72	$ 6.17
Diluted (in dollars per share)	$ 3.08	$ 3.69	$ 6.13
Anti-dilutive common stock equivalents (in shares)	0.1	0.0	0.1