Income Taxes, Income before Income Tax, Domestic and Foreign (Details) - USD ($) $ in Millions	12 Months Ended
	Oct. 03, 2025	Sep. 27, 2024	Sep. 29, 2023
Income Tax Disclosure [Abstract]
United States	$ 133.5	$ 1.9	$ 484.9
Foreign	393.2	634.5	593.9
Income before income taxes	$ 526.7	$ 636.4	$ 1,078.8