Income Taxes (Income Tax Provision) (Details) - USD ($) $ in Millions	12 Months Ended
	Sep. 29, 2017	Sep. 30, 2016	Oct. 02, 2015
Current tax expense (benefit):
Federal	$ 215.7	$ 181.8	$ 199.5
State	0.3	0.1	(0.5)
Foreign	24.4	25.8	33.9
Current Income Tax Expense	240.4	207.7	232.9
Deferred tax expense (benefit):
Federal	5.0	(0.8)	(2.0)
Foreign	1.4	(1.5)	(5.6)
Deferred Income Tax Expense	6.4	(2.3)	(7.6)
Provision for income taxes	$ 246.8	$ 205.4	$ 225.3