Income Taxes Reconciliation of Income Tax Expense (Details) - USD ($) $ in Thousands	12 Months Ended
	Jan. 01, 2023	Jan. 02, 2022	Jan. 03, 2021
Income Tax Contingency [Line Items]
Tax at statutory rate	$ 136,886	$ 252,752	$ 168,015
Non-U.S. rate differential, net	(5,221)	(33,847)	(29,155)
U.S. taxation of multinational operations	22,102	7,964	11,468
State income taxes, net	7,820	36,832	13,249
Prior year tax matters	(10,160)	1,850	5,532
Effect of Stock Compensation	845	(2,187)	(8,148)
Federal tax credits	(7,132)	(2,715)	(2,145)
Change in valuation allowance	4,964	(179)	(369)
Rate change on long term intangibles	0	14,031	0
Effective Income Tax Rate Reconciliation, Repatriation of Foreign Earnings, Amount	(4,940)	37,147	0
Foreign consolidations	0	0	15,222
Other, net	(6,003)	2,498	(4,157)
Total	$ 139,161	$ 314,146	$ 169,512