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Segment Reporting - Schedule of Segment Financial Information (Details) - USD ($)
$ in Thousands
 3 Months Ended
Mar. 31, 2024
Apr. 02, 2023
Segment Reporting Information [Line Items]    
Net sales $ 1,637,543 $ 1,729,783
Operating profit 112,453 229,648
Restructuring/Asset impairment charges (31,618) (28,814)
Amortization of acquisition intangibles (22,939) (21,164)
Gains from divestiture of business and other assets 0 72,010
Acquisition, integration and divestiture-related costs (5,661) (5,188)
Changes in LIFO inventory reserves (431) 5,425
Derivative gains/(losses) 286 (6,085)
Other operating (charges)/income, net(3) (3,180) 43
Non-operating pension costs (3,295) (3,658)
Interest expense (31,220) (34,232)
Interest income 3,558 1,562
Income before income taxes 81,496 193,320
Intersegment sales    
Segment Reporting Information [Line Items]    
Net sales 33,753 43,516
Operating Segments    
Segment Reporting Information [Line Items]    
Net sales 1,503,637 1,573,863
Operating profit 158,871 190,861
Operating Segments | Intersegment sales    
Segment Reporting Information [Line Items]    
Net sales 31,962 40,727
Operating Segments | Consumer Packaging    
Segment Reporting Information [Line Items]    
Net sales 910,577 958,008
Operating profit 93,027 96,494
Operating Segments | Consumer Packaging | Intersegment sales    
Segment Reporting Information [Line Items]    
Net sales 3,545 2,007
Operating Segments | Industrial Paper Packaging    
Segment Reporting Information [Line Items]    
Net sales 593,060 615,855
Operating profit 65,844 94,367
Operating Segments | Industrial Paper Packaging | Intersegment sales    
Segment Reporting Information [Line Items]    
Net sales 28,417 38,720
All Other    
Segment Reporting Information [Line Items]    
Net sales 133,906 155,920
Operating profit 17,125 22,560
All Other | Intersegment sales    
Segment Reporting Information [Line Items]    
Net sales $ 1,791 $ 2,789