Income Taxes Rate Reconciliation (Details) - USD ($) $ / shares in Units, $ in Millions	3 Months Ended
	Apr. 02, 2016	Mar. 28, 2015
Effective Income Tax Rate Reconciliation, Amount [Abstract]
Federal Statutory Income Tax Rate	35.00%	35.00%
Provision for Income Taxes at Statutory Rate	$ 148.1	$ 133.7
Foreign rate differential	(47.3)	(23.8)
Income tax credits	(77.8)	(103.1)
Manufacturing deduction	(6.7)	(7.6)
Singapore tax holiday	(3.7)	(3.2)
Impact of change in tax laws and apportionment on deferred taxes	8.9	0.7
Nondeductible expenses	1.7	1.9
Tax return reassessments and settlements	(2.0)
State income taxes, net of federal tax	(1.5)	(1.6)
Other, net	1.0	(0.1)
Provision for (benefit from) income taxes	20.7	$ (3.1)
US foreign tax credits generated by repatriation of foreign earnings	46.0
US Income taxes on repatriated foreign earnings	$ 16.0
Singapore
Income Tax Holiday [Line Items]
Income Tax Holiday, Termination Date	12/31/2021
Effective Income Tax Rate Reconciliation, Tax Holiday, Percent	0.90%	0.80%
Income Tax Holiday, Income Tax Benefits Per Share	$ 0.01	$ 0.01