Income Taxes Components of Deferred Tax Assets and Liabilities (Details) - USD ($) $ in Thousands	12 Months Ended
	Jan. 02, 2022	Jan. 03, 2021
Income Tax Contingency [Line Items]
Inventory	$ 3,152	$ 4,788
Reserves and accruals	56,085	51,107
Accrued compensation	30,352	20,881
Net operating loss and credit carryforwards	113,787	131,884
Accrued pension	23,801	34,192
Restructuring reserve	1,442	1,579
Deferred revenue	49,431	29,838
Deferred Tax Assets, Unrealized Foreign Exchange Losses	14,631	21,614
Deferred tax assets, operating lease liabilities	37,936	42,220
All other, net	631	0
Deferred Tax Assets, Gross	331,248	338,103
Postretirement health benefits	(5,303)	(8,168)
Depreciation and amortization	(1,037,637)	(355,876)
Deferred Tax Liabilities, Prepaid Expenses	(3,263)	(4,160)
Deferred tax liability on foreign earnings	31,239	0
Deferred tax liabilities, operating lease right-of-use assets	(34,111)	38,598
Total deferred tax liabilities	(1,111,553)	(406,802)
Valuation allowance	(91,503)	(99,740)
Deferred Tax Liabilities, Net	(871,808)	(168,439)
Valuation Allowance, Deferred Tax Asset, Increase (Decrease), Amount	8,200
Domestic Country [Member]
Income Tax Contingency [Line Items]
Net deferred tax liabilities	(621,449)	(50,302)
Foreign Tax Authority [Member]
Income Tax Contingency [Line Items]
Deferred Tax Liabilities, Net	$ (250,359)	$ (218,741)