SEGMENT AND DISAGGREGATED REVENUE INFORMATION - Net Sales to Unaffiliated Customers (Details) - USD ($) $ in Millions	12 Months Ended
	Dec. 30, 2023	Dec. 31, 2022	Jan. 01, 2022
Net sales to unaffiliated customers
Net sales to unaffiliated customers	$ 8,364.3	$ 9,039.3	$ 8,408.3
U.S.
Net sales to unaffiliated customers
Net sales to unaffiliated customers	2,578.3	2,565.9	2,065.2
Europe, the Middle East and North Africa
Net sales to unaffiliated customers
Net sales to unaffiliated customers	2,306.7	2,683.6	2,541.4
Asia
Net sales to unaffiliated customers
Net sales to unaffiliated customers	2,545.2	2,817.2	2,914.5
Latin America
Net sales to unaffiliated customers
Net sales to unaffiliated customers	582.3	605.7	537.6
Other
Net sales to unaffiliated customers
Net sales to unaffiliated customers	351.8	366.9	349.6
China Including HongKong
Net sales to unaffiliated customers
Net sales to unaffiliated customers	1,300.0	1,500.0	1,680.0
Operating Segments | Materials Group
Net sales to unaffiliated customers
Net sales to unaffiliated customers	5,811.3	6,495.1	6,206.5
Operating Segments | Materials Group | U.S.
Net sales to unaffiliated customers
Net sales to unaffiliated customers	1,687.8	1,892.1	1,736.4
Operating Segments | Materials Group | Europe, the Middle East and North Africa
Net sales to unaffiliated customers
Net sales to unaffiliated customers	2,007.1	2,396.2	2,261.1
Operating Segments | Materials Group | Asia
Net sales to unaffiliated customers
Net sales to unaffiliated customers	1,315.2	1,390.3	1,471.1
Operating Segments | Materials Group | Latin America
Net sales to unaffiliated customers
Net sales to unaffiliated customers	474.2	470.1	408.6
Operating Segments | Materials Group | Other
Net sales to unaffiliated customers
Net sales to unaffiliated customers	327.0	346.4	329.3
Operating Segments | Solutions Group
Net sales to unaffiliated customers
Net sales to unaffiliated customers	2,553.0	2,544.2	2,201.8
Operating Segments | Solutions Group | Apparel
Net sales to unaffiliated customers
Net sales to unaffiliated customers	1,661.4	1,851.2	1,839.1
Operating Segments | Solutions Group | Identification Solutions and Vestcom
Net sales to unaffiliated customers
Net sales to unaffiliated customers	$ 891.6	$ 693.0	$ 362.7