Income Taxes, Components of Income Tax Expense (Benefit) (Details) - USD ($) $ in Millions	12 Months Ended
	Oct. 03, 2025	Sep. 27, 2024	Sep. 29, 2023
Current tax expense:
Federal	$ 45.3	$ 79.0	$ 164.4
State	0.1	0.2	0.1
Foreign	59.5	60.8	74.4
Current income tax expense	104.9	140.0	238.9
Deferred tax expense (benefit):
Federal	(80.8)	(120.5)	(102.4)
State	0.0	(0.5)	(0.1)
Foreign	25.5	21.4	(40.4)
Deferred income tax expense	(55.3)	(99.6)	(142.9)
Provision for income taxes	$ 49.6	$ 40.4	$ 96.0