Income Taxes, Components of Income Tax Expense (Benefit) (Details) - USD ($) $ in Millions	12 Months Ended
	Sep. 27, 2024	Sep. 29, 2023	Sep. 30, 2022
Current tax expense:
Federal	$ 79.0	$ 164.4	$ 88.7
State	0.2	0.1	0.1
Foreign	60.8	74.4	51.5
Current income tax expense	140.0	238.9	140.3
Deferred tax expense (benefit):
Federal	(120.5)	(102.4)	43.9
State	(0.5)	(0.1)	0.1
Foreign	21.4	(40.4)	17.1
Deferred income tax expense	(99.6)	(142.9)	61.1
Provision for income taxes	$ 40.4	$ 96.0	$ 201.4