| Consolidated Statements of Income - USD ($) $ in Thousands | 12 Months Ended | Most Recent |
| | Dec. 28, 2019 | Dec. 29, 2018 | Dec. 30, 2017 | Dec. 31, 2016 | Jan. 02, 2016 | Jan. 03, 2015 | Dec. 28, 2013 |
| Income Statement [Abstract] |
| Net sales | $6,966,923 | $6,803,955 | $6,471,410 | $6,028,199 | $5,731,549 | $5,324,746 | $4,627,802 |
| Cost of sales | 4,247,593 | 4,150,736 | 3,981,959 | 3,752,151 | 3,595,217 | 3,420,339 | 3,016,109 |
| Gross profit | 2,719,330 | 2,653,219 | 2,489,451 | 2,276,048 | 2,136,332 | 1,904,407 | 1,611,693 |
| Selling, general and administrative expenses | 1,829,600 | 1,788,568 | 1,725,424 | 1,485,997 | 1,541,214 | 1,340,453 | 1,096,507 |
| Change in fair value of contingent consideration liability | 0 | 0 | 27,852 | 0 | 0 |
| Operating profit | 889,730 | 864,651 | 736,175 | 790,051 | 595,118 | 563,954 | 515,186 |
| Other expenses | 31,424 | 26,395 | 32,645 | 66,160 | 3,210 | 2,599 | 17,501 |
| Interest expense, net | 178,579 | 194,675 | 174,435 | 152,692 | 118,035 | 96,387 | 101,884 |
| Income from continuing operations before income tax expense | 679,727 | 643,581 | 529,095 | 571,199 | 473,873 | 464,968 | 395,801 |
| Income tax expense | 79,007 | 103,915 | 453,117 | 34,272 | 45,018 | 60,449 | 65,307 |
| Income from continuing operations | 600,720 | 539,666 | 75,978 | 536,927 | 428,855 | 404,519 | $330,494 |
| Loss from discontinued operations, net of tax | 0 | 0 | -2,097 | 2,455 | 0 | 0 |
| Net income | $600,720 | $539,666 | $73,881 | $539,382 | $428,855 | $404,519 |
| Earnings (loss) per share — basic: |
| Continuing operations | $1.65 | $1.48 | $0.21 | $1.41 | $1.07 | $1.01 | $0.83 |
| Discontinued operations | 0 | 0 | -0.01 | 0.01 | 0 | 0 |
| Net income | 1.65 | 1.48 | 0.2 | 1.41 | 1.07 | 1.01 |
| Earnings (loss) per share — diluted: |
| Continuing operations | 1.64 | 1.48 | 0.21 | 1.4 | 1.06 | 0.99 | $0.81 |
| Discontinued operations | 0 | 0 | -0.01 | 0.01 | 0 | 0 |
| Net income | $1.64 | $1.48 | $0.20 | $1.40 | $1.06 | $0.99 |
| Consolidated Balance Sheets - USD ($) $ in Thousands | Dec. 28, 2019 | Dec. 29, 2018 | Dec. 30, 2017 | Dec. 31, 2016 | Jan. 02, 2016 | Jan. 03, 2015 |
| Assets |
| Cash and cash equivalents | $328,876 | $433,022 | $421,566 | $460,245 | $319,169 | $239,855 |
| Trade accounts receivable, net | 815,210 | 870,878 | 903,318 | 836,924 | 680,417 | 672,048 |
| Inventories | 1,905,845 | 2,056,838 | 1,874,990 | 1,840,565 | 1,814,602 | 1,537,200 |
| Other current assets | 174,634 | 181,377 | 186,496 | 137,535 | 103,679 | 101,064 |
| Disposal Group, Including Discontinued Operation, Assets, Current | | | | 45,897 | 0 |
| Total current assets | 3,224,565 | 3,542,115 | 3,386,370 | 3,321,166 | 2,917,867 | 2,550,167 |
| Property, net | 587,896 | 607,688 | 623,991 | 692,464 | 650,462 | 674,379 |
| Right-of-use assets | 487,787 | 0 |
| Trademarks and other identifiable intangibles, net | 1,520,800 | 1,555,381 | 1,402,857 | 1,285,458 | 700,515 | 691,201 |
| Goodwill | 1,235,711 | 1,241,727 | 1,167,007 | 1,098,540 | 834,315 | 723,120 |
| Deferred tax assets | 203,331 | 207,449 | 234,932 | 464,872 | 445,179 | 495,824 |
| Other noncurrent assets | 93,896 | 83,880 | 79,618 | 67,980 | 49,252 | 73,502 |
| Total assets | 7,353,986 | 7,238,240 | 6,894,775 | 6,930,480 | 5,597,590 | 5,208,193 |
| Liabilities and Stockholders’ Equity |
| Accounts payable | 959,006 | 1,029,933 | 867,649 | 761,647 | 672,972 | 621,220 |
| Accrued liabilities and other: |
| Payroll and employee benefits | 159,058 | 147,418 | 153,394 | 154,697 | 142,154 | 143,335 |
| Advertising and promotion | 163,842 | 148,295 | 150,375 | 134,648 | 125,948 | 149,345 |
| Other | 208,284 | 273,884 | 345,865 | 330,450 | 192,231 | 198,759 |
| Lease liabilities | 166,091 | 0 |
| Notes payable | 4,244 | 5,824 | 11,873 | 56,396 | 117,785 | 144,438 |
| Accounts Receivable Securitization Facility | 0 | 161,608 | 125,209 | 44,521 | 195,163 | 210,963 |
| Current portion of long-term debt | 110,914 | 278,976 | 124,380 | 133,843 | 57,656 | 14,354 |
| Disposal Group, Including Discontinued Operation, Liabilities, Current | | | | 9,466 | 0 |
| Total current liabilities | 1,771,439 | 2,045,938 | 1,778,745 | 1,625,668 | 1,503,909 | 1,482,414 |
| Long-term debt | 3,256,870 | 3,534,183 | 3,702,054 | 3,507,685 | 2,232,712 | 1,613,997 |
| Lease liabilities - noncurrent | 358,281 | 0 |
| Pension and postretirement benefits | 403,458 | 378,972 | 405,238 | 371,612 | 362,266 | 472,003 |
| Accrued Income Taxes, Noncurrent | | | 137,226 |
| Other noncurrent liabilities | 327,343 | 407,021 | 185,310 | 201,601 | 222,812 | 253,007 |
| Total liabilities | 6,117,391 | 6,366,114 | 6,208,573 | 5,706,566 | 4,321,699 | 3,821,421 |
| Stockholders’ equity: |
| Preferred stock (50,000,000 authorized shares; $.01 par value) Issued and outstanding — None | 0 | 0 | 0 | 0 | 0 | 0 |
| Common stock (2,000,000,000 authorized shares; $.01 par value) Issued and outstanding —362,449,037 and 361,330,128, respectively | 3,624 | 3,613 | 3,601 | 3,787 | 3,917 | 4,008 |
| Additional paid-in capital | 304,395 | 284,877 | 271,462 | 260,002 | 277,569 | 290,926 |
| Retained earnings | 1,546,224 | 1,079,503 | 850,345 | 1,396,116 | 1,389,338 | 1,464,427 |
| Accumulated other comprehensive loss | -617,648 | -495,867 | -439,206 | -435,991 | -394,933 | -372,589 |
| Total stockholders’ equity | 1,236,595 | 872,126 | 686,202 | 1,223,914 | 1,275,891 | 1,386,772 |
| Total liabilities and stockholders’ equity | $7,353,986 | $7,238,240 | $6,894,775 | $6,930,480 | $5,597,590 | $5,208,193 |
| Consolidated Statements of Cash Flows $ in Thousands | 12 Months Ended |
| | Dec. 28, 2019USD ($) | Dec. 29, 2018USD ($) | Dec. 30, 2017USD ($) | Dec. 31, 2016USD ($) | Jan. 02, 2016 | Jan. 03, 2015 | Dec. 28, 2013 |
| Operating activities: |
| Net income | $600,720 | $539,666 | $73,881 | $539,382 | $428,855 | $404,519 | $330,494 |
| Adjustments to reconcile net income to net cash from operating activities: |
| Depreciation | 96,030 | 95,359 | 87,595 | 81,057 | 80,166 | 75,977 | 76,125 |
| Amortization of acquisition intangibles | 24,868 | 25,670 | 25,052 | 22,118 | 23,737 | 22,225 | 14,765 |
| Other amortization | 10,069 | 10,767 | 9,840 | 34,624 | 0 | 0 |
| Write-off on early extinguishment of debt | 0 | 0 | 4,028 | 12,667 | 0 | 0 |
| Amortization of debt issuance costs | 10,731 | 9,278 | 10,394 | 9,034 | 7,077 | 6,011 | 6,921 |
| Stock compensation expense | 9,277 | 21,416 | 23,582 | 31,780 | 29,618 | 30,587 | 24,178 |
| Deferred taxes | 41,817 | 26,611 | 160,761 | -8,836 | 10,850 | -12,401 | 14,616 |
| Change in fair value of contingent consideration liability | 0 | 0 | 27,852 | 0 | 0 |
| Other | 5,033 | -1,134 | 8,543 | -12,587 | -8,696 | 1,962 | 1,838 |
| Changes in assets and liabilities, net of acquisition and disposition of businesses: |
| Accounts receivable | 45,157 | 10,269 | -31,656 | -83,279 | -21,974 | 1,228 | 4,803 |
| Inventories | 147,330 | -202,019 | 23,748 | 135,807 | -289,654 | -40,248 | 83,748 |
| Other assets | -6,597 | -7,585 | -22,159 | -24,563 | 35,044 | 14,270 | 12,857 |
| Accounts payable | -67,390 | 165,788 | 71,806 | -60,994 | 74,613 | 71,901 | 30,897 |
| Accrued pension and postretirement benefits | -9,843 | -5,024 | 19,042 | -31,504 | -102,202 | 5,295 | -25,880 |
| Increase (Decrease) in Accrued Taxes Payable | | | | 7,396 | -4,395 |
| Accrued liabilities and other | -103,770 | -45,660 | 163,409 | -46,495 | -36,032 | -73,236 | 15,919 |
| Net cash from operating activities | 803,432 | 643,402 | 655,718 | 605,607 | 227,007 | 508,090 | 591,281 |
| Investing activities: |
| Capital expenditures | -101,084 | -86,293 | -87,008 | -83,399 | -99,375 | -64,311 | -43,627 |
| Proceeds from sales of assets | 4,884 | 2,557 | 4,459 | 80,833 | 15,404 | 7,120 | 6,089 |
| Acquisition of businesses, net of cash acquired | -25,232 | -334,915 | -62,249 | -964,075 | -192,829 | -360,439 | -559,855 |
| Payments for (Proceeds from) Investments | | | | | | 64,380 | 0 |
| Payments for (Proceeds from) Other Investing Activities | | | | | | -5,065 | 0 |
| Disposition of businesses | 0 | 0 | 40,285 | 0 | 0 |
| Other | 11,772 | 0 | 0 |
| Net cash from investing activities | -109,660 | -418,651 | -104,513 | -966,641 | -276,800 | -358,315 | -597,393 |
| Financing activities: |
| Borrowings on notes payable | 341,117 | 278,147 | 278,489 | 904,476 | 1,167,681 | 158,217 | 101,175 |
| Repayments on notes payable | -342,576 | -286,591 | -327,615 | -992,760 | -1,184,458 | -138,225 | -91,027 |
| Borrowings on Accounts Receivable Securitization Facility | 246,417 | 213,336 | 373,640 | 238,065 | 231,891 | 161,167 |
| Repayments on Accounts Receivable Securitization Facility | -408,025 | -176,937 | -292,952 | -388,707 | -247,691 | -131,994 | -137,761 |
| Borrowings on Revolving Loan Facilities | 3,198,277 | 3,546,360 | 4,161,799 | 3,798,942 | 5,272,000 | 3,536,000 | 4,053,500 |
| Repayments on Revolving Loan Facilities | -3,199,592 | -3,506,500 | -4,153,000 | -3,795,500 | -5,385,000 | -3,826,500 | -3,654,000 |
| Proceeds from Issuance of Senior Long-term Debt | | | | | 0 | 0 |
| Borrowings on Senior Notes | | | | 2,359,347 |
| Repayments on Senior Notes | | | | -1,000,000 |
| Borrowings on Term Loan Facilities | 0 | 0 | 1,250,000 | 301,272 | 1,150,000 | 476,566 | 0 |
| Repayments on Term Loan Facilities | -413,498 | -31,875 | -1,145,215 | -268,264 | -311,955 | -2,226 | 0 |
| Borrowings on Term Loan A Facility | | | | | | | 0 |
| Repayments on Term Loan A Facility | | | | | | | 0 |
| Borrowings on Term Loan B Facility | | | | | | | 0 |
| Repayments on Term Loan B Facility | | | | | | | 0 |
| Borrowings on International Debt | 27,680 | 0 | 0 | 9,145 | 10,676 | 0 | 0 |
| Repayments on International Debt | -48,327 | -1,105 | -45,072 | -12,734 | -15,971 | 0 | 0 |
| Repayments of assumed debt related to acquisition of business | | | | | | -117,400 | 0 |
| Share repurchases | 0 | 0 | -400,017 | -379,901 | -351,495 | 0 | 0 |
| Redemption of debt under 8% Senior Notes | | | | | | | 250,000 |
| Repayments on Senior Notes | | | | | 0 | 0 |
| Cash dividends paid | -216,958 | -216,316 | -219,903 | -167,375 | -161,316 | -119,607 | -59,442 |
| Payments to amend and refinance credit facilities | -1,203 | -677 | -9,122 | -80,069 | -12,793 | -6,011 | -5,630 |
| Proceeds from stock options exercised |
| Payment of contingent consideration | 0 | -3,540 | -41,250 | 0 | 0 |
| Taxes paid related to net shares settlement of equity awards | -9,543 | -12,715 | -15,463 | -17,414 | -76,569 | -54,593 | -41,839 |
| Excess tax benefit from stock-based compensation | | | | | 45,286 | 39,568 | 26,784 |
| Other | 2,221 | -2,084 | -87 | 2,531 | 2,696 | 1,273 | 6,282 |
| Net cash from financing activities | -824,010 | -200,497 | -585,768 | 511,054 | 132,982 | -23,765 | 93,757 |
| Effect of changes in foreign exchange rates on cash | 4,429 | 9,912 | -4,116 | -8,944 | -3,875 | -2,018 | -14,578 |
| Change in cash, cash equivalents and restricted cash | -125,809 | 34,166 | -38,679 | 141,076 | 79,314 | 123,992 | 73,067 |
| Cash, cash equivalents and restricted cash at beginning of year | 455,732 | 421,566 | 460,245 | 319,169 | 239,855 | 115,863 | 42,796 |
| Cash, cash equivalents and restricted cash at end of year | 329,923 | 455,732 | 421,566 | 460,245 | $319,169 | $239,855 | $115,863 |
| Less restricted cash at end of year | 1,047 | 22,710 | 0 | 0 |
| Cash and cash equivalents per balance sheet at end of year | $328,876 | $433,022 | $421,566 | $460,245 |