Income Taxes (Details 2) - USD ($) $ in Thousands	12 Months Ended
	Jan. 02, 2016	Jan. 03, 2015	Dec. 28, 2013
Summary of income tax reconciliation
Provision computed at federal statutory income tax rate	$ 93,659	$ 63,350	$ 55,648
State and local income tax, net of federal tax effect	3,621	1,168	4,085
Foreign income tax rate differential	(56,873)	(39,012)	(39,144)
Non-deductible share-based compensation costs	2,687	5,726	2,053
Change in deferred tax valuation allowance	(11,066)	10,065	18,354
Tax credits	(19,243)	(17,331)	(18,372)
Repatriation of foreign earnings	50	(2,910)	(2,116)
Non-deductible research and development expense	336	2,195	3,043
Tax effects of intra-entity transfer of assets	(7,928)	(5,397)	270
Domestic production activity deduction	0	(1,281)	(1,088)
Withholding taxes	5,119	4,064	3,333
Interest and penalties not included in tax settlements	331	(382)	1,701
Increase (decrease) in unrecognized tax benefits not included in tax settlements	3,530	157	(33,730)
Other	956	1,692	716
Total provision (benefit) for income taxes	$ 15,179	$ 22,104	$ (5,247)
Effective tax rate	6.00%	12.00%	(3.00%)