Income Taxes, Components of Income Tax Expense (Benefit) (Details) - USD ($) $ in Millions	12 Months Ended
	Oct. 02, 2026	Oct. 03, 2025	Sep. 27, 2024
Current tax expense:
Federal	$ 30.2	$ 45.3	$ 79.0
State	0.1	0.1	0.2
Foreign	101.3	59.5	60.8
Current income tax expense	131.6	104.9	140.0
Deferred tax expense (benefit):
Federal	(74.1)	(80.8)	(120.5)
State	(0.2)	0.0	(0.5)
Foreign	(15.7)	25.5	21.4
Deferred income tax expense	(90.0)	(55.3)	(99.6)
Provision for income taxes	$ 41.6	$ 49.6	$ 40.4