Income Taxes, Effective Income Tax Rate Reconciliation (Details) - USD ($) $ in Millions	12 Months Ended
	Sep. 27, 2024	Sep. 29, 2023	Sep. 30, 2022
Income Tax Disclosure [Abstract]
Tax expense at United States statutory rate	$ 133.6	$ 226.5	$ 310.1
Foreign tax rate difference	(84.7)	(90.7)	(105.3)
Effect of stock compensation	11.3	16.0	(13.1)
Research and development credits	(28.7)	(29.7)	(26.1)
Change in tax reserve	11.1	8.1	7.4
Global Intangible Low-Taxed Income	18.1	16.3	36.1
Foreign Derived Intangible Income	(49.3)	(65.9)	(39.9)
Section 162(m) limitation	10.6	10.9	21.0
Other, net	18.4	4.5	11.2
Provision for income taxes	$ 40.4	$ 96.0	$ 201.4