Income Taxes (Income Tax Provision) (Details) - USD ($) $ in Millions	12 Months Ended
	Oct. 02, 2020	Sep. 27, 2019	Sep. 28, 2018
Current tax expense (benefit):
Federal	$ 44.4	$ 85.3	$ 347.7
State	0.0	(0.1)	0.3
Foreign	49.5	23.5	31.2
Current Income Tax Expense	93.9	108.7	379.2
Deferred tax expense (benefit):
Federal	(6.8)	(0.4)	20.3
Foreign	(10.2)	(0.9)	14.2
Deferred Income Tax Expense	(17.0)	(1.3)	34.5
Provision for income taxes	$ 76.9	$ 107.4	$ 413.7