Earnings Per Share (Details) - USD ($) $ / shares in Units, shares in Millions, $ in Millions	12 Months Ended
	Oct. 02, 2026	Oct. 03, 2025	Sep. 27, 2024
Earnings Per Share [Abstract]
Net income	$ 172.1	$ 477.1	$ 596.0
Weighted average shares outstanding - basic (in shares)	150.0	154.4	160.1
Dilutive effect of equity-based awards (in shares)	1.0	0.7	1.4
Weighted average shares outstanding - diluted (in shares)	151.0	155.1	161.5
Basic (in dollars per share)	$ 1.15	$ 3.09	$ 3.72
Diluted (in dollars per share)	$ 1.14	$ 3.08	$ 3.69
Anti-dilutive common stock equivalents (in shares)	0.0	0.1	0.0