Income Taxes Rate Reconciliation (Details) - USD ($) $ / shares in Units, $ in Millions	3 Months Ended
	Apr. 01, 2017	Apr. 02, 2016
Effective Income Tax Rate Reconciliation, Amount [Abstract]
Federal Statutory Income Tax Rate	35.00%	35.00%
Provision for Income Taxes at Statutory Rate	$ 176.0	$ 148.1
Foreign rate differential	(84.4)	(47.3)
Income tax credits	(41.4)	(77.8)
Manufacturing deduction	(7.7)	(6.7)
Singapore tax holiday	(4.6)	(3.7)
Impact of change in tax laws and apportionment on deferred taxes	(62.9)	8.9
Nondeductible expenses	2.5	1.7
Excess tax benefits from stock options and restricted stock units	(23.9)
Tax return reassessments and settlements		(2.0)
State income taxes, net of federal tax	(0.8)	(1.5)
Other, net	(1.3)	1.0
(Benefit from) Provision for income taxes	(48.5)	20.7
Income Tax Holiday [Line Items]
Impact of change in tax laws and apportionment on deferred taxes	(62.9)	$ 8.9
Singapore
Effective Income Tax Rate Reconciliation, Amount [Abstract]
Impact of change in tax laws and apportionment on deferred taxes	$ (65.0)
Income Tax Holiday [Line Items]
Income Tax Holiday, Termination Date	12/31/2026
Effective Income Tax Rate Reconciliation, Tax Holiday, Percent	0.90%	0.90%
Income Tax Holiday, Income Tax Benefits Per Share	$ 0.01	$ 0.01
Impact of change in tax laws and apportionment on deferred taxes	$ (65.0)
Effective Income Tax Rate Reconciliation, Change in Enacted Tax Rate, Per Diluted Share	$ 0.16