Income Taxes, Income before Income Tax, Domestic and Foreign (Details) - USD ($) $ in Millions	12 Months Ended
	Oct. 02, 2026	Oct. 03, 2025	Sep. 27, 2024
Income Tax Disclosure [Abstract]
United States	$ (248.4)	$ 133.5	$ 1.9
Foreign	462.1	393.2	634.5
Income before income taxes	$ 213.7	$ 526.7	$ 636.4