SEGMENT AND DISAGGREGATED REVENUE INFORMATION - Net Sales to Unaffiliated Customers (Details) - USD ($) $ in Millions	12 Months Ended
	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%