Income Taxes (Discussion of Unrecognized Tax Benefits) (Details) - USD ($) $ in Thousands	12 Months Ended
	Jan. 02, 2016	Jan. 03, 2015	Dec. 28, 2013	Jan. 02, 2016
Income Tax Contingency [Line Items]
Undistributed earnings of our Chinese subsidiary				$ 3,200
Unrecognized tax benefits associated with uncertain tax positions	$ 18,673	$ 22,643	$ 21,680	48,207
Unrecognized tax benefits associated with uncertain tax positions that, if recognized, would affect the effective tax rate				45,100
Interest and penalties associated with unrecognized tax benefits				5,300
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]
Beginning balance	18,673	22,643	21,680
Additions based on tax positions related to the current year	4,381	770	1,600
Additions based on tax positions of prior years	0	0	68
Additions due to acquisition	41,083
Reduction for tax positions of prior years	(14,958)	(4,673)	0
Settlements		0	(338)
Reduction as a result of lapse of applicable statute of limitations	(972)	(67)	(367)
Ending balance	$ 48,207	$ 18,673	$ 22,643
Expiration of statutes of limitations | Foreign tax filings
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]
Amount of unrecognized tax benefits that could significantly change during the next twelve months				1,800
Expiration of statutes of limitations | Foreign tax filings | Maximum
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]
Amount of associated interest and penalties that could significantly change within the next twelve months				$ 100