Consolidated Statements of Cash Flows - USD ($) $ in Thousands	12 Months Ended
	Jan. 03, 2021	Dec. 29, 2019	Dec. 30, 2018
Restricted Cash	$ 578	$ 17	$ 3,204
Cash, Cash Equivalents, Restricted Cash and Restricted Cash Equivalents	402,614	191,894	166,315
Operating activities:
Net income	727,887	227,558	237,927
Loss (gain) from discontinued operations and dispositions, net of income taxes	211	195	(452)
Income from continuing operations	728,098	227,753	237,475
Adjustments to reconcile net income from continuing operations to net cash provided by continuing operations:
Restructuring and other costs, net	8,013	29,428	11,144
Depreciation and amortization	246,507	214,025	180,588
Stock-based compensation	29,126	31,514	28,767
Pension and other post-retirement expense	18,012	26,107	11,915
Business Combination, Contingent Consideration Arrangements, Change in Amount of Contingent Consideration, Liability	(8,827)	3,881	14,639
Deferred taxes	(29,121)	(61,353)	(51,103)
Deferred Income Tax Expense (Benefit), Continuing Operations, Discontinuing Operations	(29,121)	(61,353)	(51,103)
Contingencies and Non-Cash Tax Matters	4,518	(424)	(671)
Amortization of deferred debt issuance costs, interest rate hedge and accretion of discounts	3,391	3,846	3,341
Loss (gain) on disposition of businesses and assets, net	886	2,469	(12,844)
Amortization of acquired inventory revaluation	2,793	21,590	19,272
Asset Impairment Charges	7,937	0	0
Gain on Sale of Investments	0	0	(557)
Change in fair value of financial securities	(35)	(3,249)	0
Gain (Loss) on Extinguishment of Debt	0	32,541	0
Changes in assets and liabilities which (used) provided cash, excluding effects from companies purchased and divested:
Accounts receivable, net	(373,895)	(100,630)	(94,512)
Inventories, net	(122,513)	(9,607)	(30,183)
Accounts payable	62,753	7,351	8,900
Accrued expenses and other	314,534	(61,773)	(14,933)
Net cash provided by operating activities of continuing operations	892,177	363,469	311,238
Net cash used in operating activities of discontinued operations	0	0	(200)
Net cash provided by operating activities	892,177	363,469	311,038
Investing activities:
Capital expenditures	(77,506)	(76,331)	(93,253)
Payments to Acquire Investments	(20,059)	(6,387)	(7,019)
Payments to Acquire Intangible Assets	0	(5,000)	0
Proceeds from Divestiture of Businesses	4,280	550	38,027
Proceeds from surrender of life insurance policies	282	0	72
Activity related to acquisitions, net of cash, cash equivalents and restricted cash acquired	(411,495)	(400,405)	(97,686)
Net cash used in investing activities of continuing operations	(504,498)	(487,573)	(159,859)
Net cash provided by investing activities of discontinued operations	0	0	0
Net cash used in investing activities	(504,498)	(487,573)	(159,859)
Financing activities:
Payments on revolving credit facility	(897,674)	(1,692,489)	(1,264,000)
Proceeds from Long-term Lines of Credit	714,698	1,599,416	857,000
Payments of Senior Debt	0	(530,276)	0
Proceeds from sale of senior debt	0	847,195	369,340
Payments of debt financing costs	0	(9,879)	(2,634)
Proceeds from (Repayments of) Other Debt	(4,494)	(14,975)	(28,383)
Settlement of cash flow hedges	(4,554)	(1,280)	(34,132)
Payments for acquisition-related contingent consideration	(10,363)	(29,942)	(12,800)
Proceeds, Issuance of Shares, Share-based Payment Arrangement, Including Option Exercised	37,671	19,732	24,833
Purchases of common stock	(6,944)	(6,313)	(57,445)
Dividends paid	(31,212)	(31,059)	(31,009)
Net cash provided by (used in) financing activities of continuing operations	(202,872)	150,130	(179,230)
Net cash used in financing activities of discontinued operations	0	0	0
Net cash (used in) provided by financing activities	(202,872)	150,130	(179,230)
Effect of Exchange Rate on Cash, Cash Equivalents, Restricted Cash and Restricted Cash Equivalents	25,913	(447)	(8,004)
Net increase (decrease) in cash, cash equivalents and restricted cash	210,720	25,579	(36,055)
Cash and cash equivalents at beginning of year	191,877	163,111
Cash and cash equivalents at end of year	402,036	191,877	163,111
Supplemental disclosures of cash flow information
Interest Paid, Excluding Capitalized Interest, Operating Activities	42,142	82,693	56,451
Income taxes	$ 162,454	$ 77,059	$ 59,844