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SEGMENT AND DISAGGREGATED REVENUE INFORMATION - Net Sales to Unaffiliated Customers (Details) - USD ($) $ in Millions | 12 Months Ended
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Dec. 31, 2022 | Jan. 01, 2022 | Jan. 02, 2021
Net sales to unaffiliated customers |  |  |
Net sales to unaffiliated customers | $ 9,039.3 | $ 8,408.3 | $ 6,971.5
Materials Group |  |  |
Net sales to unaffiliated customers |  |  |
Net sales to unaffiliated customers | 6,495.1 | 6,206.5 | 5,340.6
Solutions Group |  |  |
Net sales to unaffiliated customers |  |  |
Net sales to unaffiliated customers | 2,544.2 | 2,201.8 | 1,630.9
Solutions Group | Apparel |  |  |
Net sales to unaffiliated customers |  |  |
Net sales to unaffiliated customers | 1,851.2 | 1,839.1 | 1,432.3
Solutions Group | Identification Solutions and Vestcom |  |  |
Net sales to unaffiliated customers |  |  |
Net sales to unaffiliated customers | 693.0 | 362.7 | 198.6
U.S. |  |  |
Net sales to unaffiliated customers |  |  |
Net sales to unaffiliated customers | 2,565.9 | 2,065.2 | 1,683.6
U.S. | Materials Group |  |  |
Net sales to unaffiliated customers |  |  |
Net sales to unaffiliated customers | 1,892.1 | 1,736.4 | 1,504.5
Europe |  |  |
Net sales to unaffiliated customers |  |  |
Net sales to unaffiliated customers | 2,683.6 | 2,541.4 | 2,164.7
Europe | Materials Group |  |  |
Net sales to unaffiliated customers |  |  |
Net sales to unaffiliated customers | 2,396.2 | 2,261.1 | 1,952.8
Asia |  |  |
Net sales to unaffiliated customers |  |  |
Net sales to unaffiliated customers | 2,817.2 | 2,914.5 | 2,378.5
Asia | Materials Group |  |  |
Net sales to unaffiliated customers |  |  |
Net sales to unaffiliated customers | 1,390.3 | 1,471.1 | 1,245.3
Latin America |  |  |
Net sales to unaffiliated customers |  |  |
Net sales to unaffiliated customers | 605.7 | 537.6 | 440.3
Latin America | Materials Group |  |  |
Net sales to unaffiliated customers |  |  |
Net sales to unaffiliated customers | 470.1 | 408.6 | 350.9
Other international |  |  |
Net sales to unaffiliated customers |  |  |
Net sales to unaffiliated customers | 366.9 | 349.6 | 304.4
Other international | Materials Group |  |  |
Net sales to unaffiliated customers |  |  |
Net sales to unaffiliated customers | 346.4 | 329.3 | 287.1
China Including HongKong |  |  |
Net sales to unaffiliated customers |  |  |
Net sales to unaffiliated customers | $ 1,500.0 | $ 1,680.0 | $ 1,310.0
Net sales | Revenue from rights concentration risk | Ten Customer |  |  |
Net sales to unaffiliated customers |  |  |
Concentration risk percentage | 16.00% | 16.00% | 17.00%

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