Consolidated Statements of Cash Flows - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2023	Jan. 01, 2023	Jan. 02, 2022
Cash, Cash Equivalents, Restricted Cash and Restricted Cash Equivalents	$ 914,373	$ 470,746	$ 619,337
Operating activities:
Net income	693,094	569,179	943,157
Income (Loss) from discontinued operations and dispositions	(513,591)	(56,503)	(53,721)
Income from continuing operations	179,503	512,676	889,436
Adjustments to reconcile net income from continuing operations to net cash provided by continuing operations:
Restructuring and other costs, net	26,601	(13,580)	(14,358)
Depreciation and amortization	431,769	427,000	311,443
Stock-based compensation	41,410	51,518	29,675
Pension and other post-retirement expense (income)	23,089	(23,104)	(28,509)
Business Combination, Contingent Consideration Arrangements, Change in Amount of Contingent Consideration, Liability	4,168	(1,377)	3,119
Deferred taxes	(123,664)	(105,923)	(55,328)
Contingencies and Non-Cash Tax Matters	26,183	(1,488)	1,924
Amortization of deferred debt issuance costs, interest rate hedge and accretion of discounts	7,349	7,310	4,962
Gain on disposition of businesses and assets, net	0	(2,887)	(1,970)
Amortization of acquired inventory revaluation	0	45,289	35,201
Asset Impairment Charges	0	0	3,868
Change in fair value of financial securities	33,921	15,754	(10,985)
Debt Extinguishment Income	(3,685)	(2,880)	0
Unrealized Foreign Exchange Loss	24,089	0	0
Changes in assets and liabilities which (used) provided cash, excluding effects from companies purchased and divested:
Accounts receivable, net	(8,997)	66,093	165,590
Inventories, net	(14,109)	(48,634)	32,280
Accounts payable	(76,426)	(43,804)	(7,577)
Accrued expenses and other	(291,814)	(236,623)	(57,303)
Net cash provided by operating activities of continuing operations	279,387	672,500	1,330,184
Net cash (used in) provided by operating activities of discontinued operations	(188,115)	7,310	80,566
Net cash provided by operating activities	91,272	679,810	1,410,750
Investing activities:
Capital expenditures	(81,368)	(85,632)	(86,020)
Payments to Acquire Investments	(6,300)	(47,181)	(23,130)
Payments to Acquire Intangible Assets	(1,221,609)	0	0
Proceeds from Collection of Notes Receivable	0	8,890	0
Proceeds from Divestiture of Businesses	153	14,505	1,569
Proceeds from surrender of life insurance policies	550,000	0	0
Cash paid for acquisitions, net of cash acquired	(2,086)	(7,518)	(3,982,216)
Net cash used in investing activities of continuing operations	(761,210)	(116,936)	(4,089,797)
Net cash provided by (used in) investing activities of discontinued operations	2,074,734	(15,915)	(22,961)
Net cash provided by (used in) investing activities	1,313,524	(132,851)	(4,112,758)
Financing activities:
Payments on revolving credit facility	0	(740,000)	(1,559,133)
Proceeds from Long-term Lines of Credit	0	240,000	1,900,282
Payments of Senior Debt	(523,808)	(57,876)	(339,605)
Proceeds from sale of senior debt	0	0	3,086,095
Payments of debt financing and equity issuance costs	(15)	0	(30,983)
Proceeds from (Repayments of) Other Debt	6,323	(1,292)	(13,670)
Settlement of cash flow hedges	0	(762)	(4,482)
Settlement of swaps	0	0	14,314
Payments for acquisition-related contingent consideration	(10,117)	(5)	(2,208)
Proceeds, Issuance of Shares, Share-based Payment Arrangement, Including Option Exercised	4,344	14,114	25,120
Purchases of common stock	(388,882)	(80,638)	(73,072)
Dividends paid	(34,966)	(35,344)	(32,373)
Net cash (used in) provided by financing activities	(947,121)	(661,803)	2,941,657
Effect of Exchange Rate on Cash, Cash Equivalents, Restricted Cash and Restricted Cash Equivalents	(14,048)	(33,747)	(22,926)
Net increase (decrease) in cash, cash equivalents and restricted cash	443,627	(148,591)	216,723
Cash and cash equivalents at beginning of year	454,358	603,320
Restricted Cash, Current	1,210	1,040	1,018
Restricted Cash, Noncurrent	0	349	0
Disposal Group, Including Discontinued Operation, Cash and Cash Equivalents	0	14,999	14,999
Cash and cash equivalents at end of year	913,163	454,358	603,320
Supplemental disclosures of cash flow information
Interest Paid, Excluding Capitalized Interest, Operating Activities	94,008	97,934	54,120
Income taxes	359,800	323,077	364,565
Cash Flow, Noncash Investing and Financing Activities Disclosure [Abstract]
Consideration receivable from sale of Business	241,353	0	0
Equity issued for business combination, net of issuance costs	$ 0	$ 0	$ 2,638,144