Income Taxes (Discussion of Unrecognized Tax Benefits) (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2016	Jan. 02, 2016	Jan. 03, 2015	Dec. 31, 2016	Jan. 02, 2016
Income Tax Contingency [Line Items]
Undistributed earnings of our Chinese subsidiary				$ 3,000
Unrecognized tax benefits associated with uncertain tax positions	$ 48,207	$ 18,673	$ 22,643	47,623	$ 48,207
Unrecognized tax benefits associated with uncertain tax positions that, if recognized, would affect the effective tax rate				44,500
Interest and penalties associated with unrecognized tax benefits				7,500
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]
Beginning balance	48,207	18,673	22,643
Additions based on tax positions related to the current year	2,573	4,381	770
Additions based on tax positions of prior years	530	0	0
Additions due to acquisition	0	41,083
Reduction for tax positions of prior years	(1,824)	(14,958)	(4,673)
Settlements	0	0	0
Reduction as a result of lapse of applicable statute of limitations	(1,863)	(972)	(67)
Ending balance	$ 47,623	$ 48,207	$ 18,673
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				2,200
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
Other Long-term Liabilities
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]
Liability for uncertain tax positions				$ 29,600	$ 26,900