Income Taxes Components of Deferred Tax Assets and Liabilities (Details) - USD ($) $ in Thousands	12 Months Ended
	Jan. 03, 2021	Dec. 29, 2019
Income Tax Contingency [Line Items]
Inventory	$ 4,788	$ 4,662
Reserves and accruals	51,107	46,817
Accrued compensation	20,881	18,953
Net operating loss and credit carryforwards	131,884	116,751
Accrued pension	34,192	35,890
Restructuring reserve	1,579	2,983
Deferred revenue	29,838	30,412
Deferred Tax Assets, Unrealized Foreign Exchange Losses	21,614	0
Deferred tax assets, operating lease liabilities	42,220	46,477
Deferred Tax Assets, Gross	338,103	302,945
Postretirement health benefits	(8,168)	(4,106)
Depreciation and amortization	(355,876)	(330,768)
Deferred Tax Liabilities, Other	(4,160)	(1,780)
Deferred tax liabilities, operating lease right-of-use assets	(38,598)	42,774
Total deferred tax liabilities	(406,802)	(379,428)
Valuation allowance	(99,740)	(88,449)
Deferred Tax Liabilities, Net	(168,439)	(164,932)
Valuation Allowance, Deferred Tax Asset, Increase (Decrease), Amount	(11,300)
Domestic Country [Member]
Income Tax Contingency [Line Items]
Net deferred tax liabilities	(50,302)	(43,683)
Foreign Tax Authority [Member]
Income Tax Contingency [Line Items]
Deferred Tax Liabilities, Net	$ (218,741)	$ (208,615)