Income Taxes (Details 3) - USD ($) $ in Thousands	Jan. 02, 2021	Dec. 28, 2019	Dec. 29, 2018
Deferred Tax Assets:
Tax credit carryforwards	$ 197,436	$ 206,008
Reserves and accruals	60,272	47,562
Intangible assets	578,267	583,323
Capitalized research and development expense for income tax purposes	39,427	18,477
Operating loss carryforwards	5,935	6,201
Deferred income	21,170	16,704
Capital loss carryforwards	16,944	17,320
Stock-based compensation costs	14,656	15,097
Depreciation and amortization	4,402	8,721
Investments	2,521	2,459
Lease liability	31,278	25,016
Total deferred tax assets	972,308	946,888
Valuation allowance	(116,419)	(125,520)	$ (108,700)
Net deferred tax assets	855,889	821,368
Deferred Tax Liabilities:
Intangible assets	(44,549)	(24,907)
Undistributed foreign earnings	(41,957)	(31,916)
ROU assets	(31,278)	(25,016)
Other	(10,749)	(8,350)
Total deferred tax liabilities	(128,533)	(90,189)
Total net deferred tax assets	$ 727,356	$ 731,179