Income Taxes (Details Textuals) - USD ($) $ in Thousands	12 Months Ended
	Jan. 03, 2016	Dec. 28, 2014	Dec. 29, 2013	Dec. 30, 2012
Income Tax Contingency
Deferred Tax Assets, Operating Loss Carryforwards, Domestic	$ 392,500
Deferred Tax Assets, Operating Loss Carryforwards, State and Local	442,000
Deferred Tax Assets, Operating Loss Carryforwards, Subject to Expiration	7,000
Undistributed Earnings of Foreign Subsidiaries	1,260,000
Tax Effect From Share Based Plans	10,253	$ 45,120	$ 583
Provision For Income Taxes
Unrecognized Tax Benefits That Would Impact the Effective Tax Rate	81,400
Unrecognized Tax Benefits, Income Tax Penalties and Interest Accrued	10,400	30,100
Unrecognized Tax Benefits	104,167	125,173	185,250	$ 179,522
Unrecognized Tax Benefits, Reversal of Interest and Penalties Benefit	8,100	200	(2,200)
Expected Decrease in Unrecognized Tax Benefits Within the Next Twelve Months	6,900
Income Tax Examination, Liability (Refund) Adjustment from Settlement with Taxing Authority	(37,400)	(25,200)
Effective Income Tax Rate Reconciliation, Tax Credit, Research, Amount	11,200	$ 18,700	$ 19,000
Domestic Tax Authority [Member]
Income Tax Contingency
State Research Credit	15,600
State and Local Jurisdiction [Member]
Income Tax Contingency
State Research Credit	$ 108,300