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BUSINESS SEGMENTS AND GEOGRAPHIC AREAS - Disaggregation of Revenue (Details) - USD ($) | 3 Months Ended | 12 Months Ended
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Jan. 02, 2021 | Sep. 26, 2020 | Jun. 27, 2020 | Mar. 28, 2020 | Dec. 28, 2019 | Sep. 28, 2019 | Jun. 29, 2019 | Mar. 30, 2019 | Jan. 02, 2021 | Dec. 28, 2019 | Dec. 29, 2018
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Deferred revenue recognized |  |  |  |  |  |  |  |  | $ 96,800,000 | $ 96,400,000 |
Net Sales | $ 4,407,600,000 | $ 3,850,200,000 | $ 3,147,400,000 | $ 3,129,400,000 | $ 3,714,200,000 | $ 3,633,100,000 | $ 3,761,300,000 | $ 3,333,600,000 | 14,534,600,000 | 14,442,200,000 | $ 13,982,400,000
Industrial | Continuing Operations |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Deferred revenue recognized |  |  |  |  |  |  |  |  | 0.092 | 0.109 | 0.119
Net Sales |  |  |  |  |  |  |  |  | 2,352,700,000 | 2,434,700,000 | 2,187,800,000
Industrial | Continuing Operations | Engineered Fastening |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net Sales |  |  |  |  |  |  |  |  | 1,717,800,000 | 1,738,500,000 | 1,766,600,000
Industrial | Continuing Operations | Infrastructure business |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Net Sales |  |  |  |  |  |  |  |  | 634,900,000 | 696,200,000 | 421,200,000
Security | Continuing Operations |  |  |  |  |  |  |  |  |  |  |
Disaggregation of Revenue [Line Items] |  |  |  |  |  |  |  |  |  |  |
Deferred revenue recognized |  |  |  |  |  |  |  |  | 0.444 | 0.458 | 0.449
Net Sales |  |  |  |  |  |  |  |  | $ 1,852,200,000 | $ 1,945,400,000 | $ 1,980,600,000

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- Definition Amount of revenue recognized from goods sold, services rendered, insurance premiums, or other activities that constitute an earning process. Includes, but is not limited to, investment and interest income before deduction of interest expense when recognized as a component of revenue, and sales and trading gain (loss). + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 280 -SubTopic 10 -Section 50 -Paragraph 22 -Subparagraph (a) -URI http://asc.fasb.org/extlink&oid=115929826&loc=d3e8736-108599 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 280 -SubTopic 10 -Section 50 -Paragraph 32 -Subparagraph (a) -URI http://asc.fasb.org/extlink&oid=115929826&loc=d3e8933-108599 Reference 3: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 280 -SubTopic 10 -Section 50 -Paragraph 22 -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=115929826&loc=d3e8736-108599 Reference 4: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 220 -SubTopic 10 -Section S99 -Paragraph 2 -Subparagraph (SX 210.5-03(1)) -URI http://asc.fasb.org/extlink&oid=116634182&loc=SL114868664-224227 + Details
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