Income Taxes (Narrative) (Details) - USD ($)	12 Months Ended
	Jan. 01, 2016	Jan. 02, 2015	Jan. 03, 2014	Dec. 28, 2012
Operating Loss Carryforwards [Line Items]
Deferred Tax Liabilities, Undistributed Foreign Earnings	$ 776,200,000
Deferred Tax Liability Not Recognized, Amount of Unrecognized Deferred Tax Liability, Undistributed Earnings of Foreign Subsidiaries	237,100,000
Unrecognized Tax Benefits	59,000,000	$ 51,400,000	$ 44,100,000	$ 32,200,000
Unrecognized Tax Benefits that Would Impact Effective Tax Rate	52,700,000	45,600,000
Income Tax Examination, Estimate of Possible Loss	67,000,000
Income Tax Examination, Payment made on Notice of Proposed Adjustment from the IRS	0
Unrecognized Tax Benefits, Income Tax Penalties and Interest Accrued	6,700,000	$ 4,700,000
Internal Revenue Service (IRS) [Member]
Operating Loss Carryforwards [Line Items]
Operating Loss Carryforwards	$ 18,500,000
Operating Loss Carryforwards, Expiration Date	Jan. 01, 2021
Foreign Tax Authority [Member]
Operating Loss Carryforwards [Line Items]
Operating Loss Carryforwards	$ 208,200,000
Research Tax Credit Carryforward [Member] | Internal Revenue Service (IRS) [Member]
Operating Loss Carryforwards [Line Items]
Tax Credit Carryforward, Amount	$ 900,000
Tax Credit Carryforward, Expiration Date	Jan. 01, 2030
Research Tax Credit Carryforward [Member] | California Franchise Tax Board [Member]
Operating Loss Carryforwards [Line Items]
Tax Credit Carryforward, Amount	$ 18,600,000