Income Taxes Reconciliation of Income Tax Expense (Details) - USD ($) $ in Thousands	12 Months Ended
	Jan. 02, 2022	Jan. 03, 2021	Dec. 29, 2019
Income Tax Contingency [Line Items]
Tax at statutory rate	$ 268,776	$ 190,339	$ 49,799
Non-U.S. rate differential, net	(34,676)	(40,216)	(32,124)
U.S. taxation of multinational operations	9,731	9,050	4,251
State income taxes, net	37,907	13,306	1,941
Prior year tax matters	3,068	8,262	(5,103)
Effect of Stock Compensation	(2,961)	(8,818)	(2,053)
Federal tax credits	(4,277)	(4,136)	(4,325)
Change in valuation allowance	3,070	10	(1,117)
Rate change on long term intangibles	14,031	0	0
Effective Income Tax Rate Reconciliation, Repatriation of Foreign Earnings, Amount	37,147	0	0
Foreign consolidations	0	15,222	0
Tax Elections	0	0	(3,700)
Tax Adjustments, Settlements, and Unusual Provisions	43,200	10,800	(23,400)
Other, net	4,787	(4,753)	(898)
Total	336,603	178,266	9,389
2017 Tax Cuts and Jobs Act [Member]
Income Tax Contingency [Line Items]
Impact of U.S. Tax Act	$ 0	$ 0	$ 2,718