Income Taxes (Details 2) - USD ($) $ in Thousands	12 Months Ended
	Jan. 01, 2022	Jan. 02, 2021	Dec. 28, 2019
Effective Income Tax Rate Reconciliation, Amount [Abstract]
Provision computed at federal statutory income tax rate	$ 161,880	$ 132,877	$ 100,583
State and local income tax, net of federal tax effect	24,640	20,936	23,221
Intercompany transfers of intangible property rights	0	0	(575,618)
Foreign income tax rate differential	(26,887)	(32,589)	(37,786)
Foreign-derived intangible income deduction	(22,050)	(3,762)	(1,201)
U.S. tax on foreign entities	51,112	43,615	57,225
Stock-based compensation	(55,091)	(51,226)	(29,785)
Change in deferred tax asset valuation allowance	(8,262)	(9,101)	16,796
Tax credits	(90,054)	(89,684)	(87,793)
Non-deductible research and development expense	4,443	5,163	4,363
Withholding taxes	23,495	17,189	15,865
Other	9,254	8,686	4,119
Total provision (benefit) for income taxes	$ 72,480	$ 42,104	$ (510,011)
Effective tax rate	9.00%	7.00%	(106.00%)