CONSOLIDATED STATEMENTS OF CASH FLOWS - USD ($) $ in Thousands	12 Months Ended
	Jan. 03, 2026	Dec. 28, 2024	Dec. 30, 2023	Dec. 31, 2022
Cash flows from operating activities--
Net Income (Loss)	$ (277,731)	$ 428,433	$ 400,882
Income (Loss) from Discontinued Operations, Net of Tax, Attributable to Parent	(644,998)	7,455	(12,122)
Income (Loss) from Continuing Operations, Net of Tax, Attributable to Parent	367,267	420,978	413,004
Adjustments to reconcile earnings from continuing operations, net of tax to net cash provided by operating activities - continuing operations:
Depreciation and amortization	105,305	104,113	109,917
Non-cash share-based compensation	13,462	31,902	45,156
Deferred income taxes	70,144	35,799	442
Net Periodic Benefit Cost, Other Components	(6,294)	(14,872)	(9,040)
Gain on sale of plant	0	(1,139)	0
Impairments	10,598	10,475	1,986
Other Noncash Income (Expense)	(125)	624	1,528
Changes in assets and liabilities, net of acquisitions
Accounts receivable, net	(14,468)	16,915	(12,123)
Inventories, net	3,066	60,959	76,227
Prepaid expenses and other assets	(5,610)	(44,248)	406
Accounts payable	18,071	(14,392)	(43,046)
Accrued expenses and other liabilities	3,168	7,406	(75,815)
Net cash provided by operating activities - continuing operations	564,584	614,520	508,642
Net cash provided by operating activities - discontinued operations	65,613	72,296	120,148
Net cash provided by operating activities	630,197	686,816	628,790
Cash flows from investing activities--
Additions to property and equipment	(70,729)	(36,690)	(59,173)
Proceeds from Sale of Property Held-for-sale	0	2,507	0
Payments to Acquire Intangible Assets	(1,114)	(80)	(1,700)
Payments to Acquire Businesses, Net of Cash Acquired	(31,975)	(111,428)	(37,884)
Cash Provided by (Used in) Investing Activity, Continuing Operation	(103,818)	(145,691)	(98,757)
Cash Provided by (Used in) Investing Activity, Discontinued Operation	(23,071)	(12,844)	(56,985)
Net cash (used in) investing activities	(126,889)	(158,535)	(155,742)
Cash flows from financing activities--
Proceeds from Credit Facility	1,106,500	0	640,200
Repayments under Credit Facility	(607,329)	(32,813)	(948,496)
Payment of principal upon maturity of Convertible Notes	(744,527)	0	0
Proceeds from foreign loans	23,224	0	0
Repayments of foreign loans	(2,143)	(2,193)	(166)
Payments of deferred purchase price	(20,073)	(3,878)	(7,701)
Repurchase of treasury stock	(723,613)	(34,660)	(74,565)
Debt issuance costs on Credit Facility	(3,167)	0	0
Proceeds from (Payment for) Other Financing Activity	187	(224)	(211)
Net cash (used in) provided by financing activities	(970,941)	(73,768)	(390,939)
Effect of Exchange Rate on Cash, Cash Equivalent, Restricted Cash, and Restricted Cash Equivalent, Discontinued Operation	22,547	(12,476)	3,386
Changes in cash and cash equivalents--
Net (decrease) increase in cash and cash equivalents	(445,086)	442,037	85,495
Cash, Cash Equivalent, Restricted Cash, and Restricted Cash Equivalent, Including Discontinued Operation	244,447	689,533	247,496	$ 162,001
Cash Flow, Noncash Investing and Financing Activities Disclosure [Abstract]
Stock Issued During Period, Value, Acquisitions	$ 0	$ 4,810	$ 19,794