Income Taxes (Income Tax Expense Reconciliation) (Details) - USD ($) $ in Millions	12 Months Ended
	Oct. 02, 2015	Oct. 03, 2014	Sep. 27, 2013
Income Tax Disclosure [Abstract]
Tax expense at United States statutory rate	$ 358.3	$ 197.8	$ 120.6
Foreign tax rate difference	(120.9)	(77.3)	(49.8)
Research and development credits	(15.0)	(2.8)	(16.3)
Change in tax reserve	25.5	11.0	11.7
Change in valuation allowance	4.4	9.8	4.1
Domestic production activities deduction	(19.7)	(10.9)	(5.0)
Audit settlement and adjustment	0.0	(19.7)	1.9
Other, net	(7.3)	(0.4)	(0.8)
Provision for income taxes	$ 225.3	$ 107.5	$ 66.4