Income Taxes Components of Deferred Tax Assets and Liabilities (Details) - USD ($) $ in Thousands	12 Months Ended
	Jan. 01, 2023	Jan. 02, 2022
Income Tax Contingency [Line Items]
Inventory	$ 17,920	$ 2,388
Reserves and accruals	70,912	53,403
Accrued compensation	23,868	29,960
Net operating loss and credit carryforwards	117,953	110,149
Accrued pension	11,653	23,714
Restructuring reserve	1,640	1,442
Deferred revenue	22,644	49,207
Capitalized research and development expenses	44,922	12,114
Deferred Tax Assets, Unrealized Foreign Exchange Losses	11,158	14,594
Deferred tax assets, operating lease liabilities	43,547	37,299
All other, net	841	583
Deferred Tax Assets, Gross	367,058	334,853
Postretirement health benefits	(4,379)	(5,303)
Depreciation and amortization	(916,581)	(1,021,487)
Deferred Tax Liabilities, Prepaid Expenses	(3,515)	(3,265)
Deferred tax liability on foreign earnings	15,782	(31,239)
Deferred tax liabilities, operating lease right-of-use assets	(39,281)	33,607
Total deferred tax liabilities	(979,538)	(1,094,901)
Valuation allowance	(96,681)	(89,523)
Deferred Tax Liabilities, Net	(709,161)	$ (849,571)
Valuation Allowance, Deferred Tax Asset, Increase (Decrease), Amount	$ (7,200)