Income Taxes (Income before Income Taxes) (Details) - USD ($) $ in Millions	12 Months Ended
	Sep. 29, 2023	Sep. 30, 2022	Oct. 01, 2021
Income Tax Disclosure [Abstract]
United States	$ 484.9	$ 663.0	$ 804.7
Foreign	593.9	813.6	794.0
Income (Loss) from Continuing Operations before Income Taxes, Noncontrolling Interest	$ 1,078.8	$ 1,476.6	$ 1,598.7