Income Taxes (Details 3) - USD ($) $ in Thousands	Dec. 31, 2022	Jan. 01, 2022	Jan. 02, 2021
Deferred tax assets:
Tax credit carryforwards	$ 142,374	$ 147,248
Reserves and accruals	75,543	72,287
Intangible assets	538,424	568,199
Capitalized research and development expense for income tax purposes	149,625	34,467
Operating loss carryforwards	11,081	6,630
Deferred income	64,897	42,753
Capital loss carryforwards	16,777	16,957
Stock-based compensation costs	22,830	17,690
Depreciation and amortization	9,176	5,005
Investments	9,016	6,833
Lease liability	37,758	27,362
Prepaid expenses	14,699	53,893
Total deferred tax assets	1,092,200	999,324
Valuation allowance	(70,085)	(108,158)	$ (116,400)
Net deferred tax assets	1,022,115	891,166
Deferred tax liabilities:
Intangible assets	(82,971)	(55,178)
Undistributed foreign earnings	(51,394)	(45,460)
ROU assets	(37,758)	(27,362)
Other	(11,060)	(8,528)
Total deferred tax liabilities	(183,183)	(136,528)
Total net deferred tax assets	$ 838,932	$ 754,638