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Segment Reporting - Schedule of Segment Financial Information (Details) - USD ($)
$ in Thousands
 3 Months Ended 9 Months Ended
Sep. 28, 2025
Sep. 29, 2024
Sep. 28, 2025
Sep. 29, 2024
Segment Reporting Information [Line Items]        
Sales from reportable segments $ 2,060,405 $ 1,276,114 $ 5,558,833 $ 3,693,793
Other sales 109,000 109,148 291,630 341,684
Total consolidated sales 2,131,108 1,354,652 5,750,777 3,942,089
Cost of sales (1,663,757) (1,054,800) (4,523,462) (3,085,829)
Segment operating profit 194,966 102,108 497,493 270,491
Other segment disclosures:        
Equity in earnings of affiliates, net of tax 3,020 2,807 7,211 6,218
Depreciation and amortization     382,623 270,691
Consumer Packaging        
Segment Reporting Information [Line Items]        
Sales from reportable segments 1,443,333 664,354 3,742,276 1,832,899
Industrial Paper Packaging        
Segment Reporting Information [Line Items]        
Sales from reportable segments 617,072 611,760 1,816,557 1,860,894
Operating Segments        
Segment Reporting Information [Line Items]        
Sales from reportable segments 2,023,215 1,247,379 5,462,789 3,605,930
Segment operating profit 298,842 166,501 752,321 431,626
Other segment disclosures:        
Equity in earnings of affiliates, net of tax 3,020 2,807 7,211 6,218
Operating Segments | Consumer Packaging        
Segment Reporting Information [Line Items]        
Sales from reportable segments 1,438,246 662,297 3,731,872 1,827,018
Total consolidated sales 1,438,246 662,297 3,731,872 1,827,018
Cost of sales (1,153,538) (522,461) (2,996,754) (1,464,518)
Other segment items (80,810) (45,598) (235,413) (139,763)
Segment operating profit 208,985 96,295 510,109 228,618
Other segment disclosures:        
Equity in earnings of affiliates, net of tax 190 369 309 416
Depreciation and amortization 50,419 25,576 152,175 75,705
Operating Segments | Industrial Paper Packaging        
Segment Reporting Information [Line Items]        
Sales from reportable segments 584,969 585,082 1,730,917 1,778,912
Total consolidated sales 584,969 585,082 1,730,917 1,778,912
Cost of sales (433,109) (456,216) (1,298,063) (1,381,687)
Other segment items (94,106) (85,338) (276,282) (276,199)
Segment operating profit 89,857 70,206 242,212 203,008
Other segment disclosures:        
Equity in earnings of affiliates, net of tax 2,830 2,438 6,902 5,802
Depreciation and amortization 29,955 28,989 88,126 86,133
Intersegment Eliminations        
Segment Reporting Information [Line Items]        
Sales from reportable segments 37,190 28,735 96,044 87,863
Total consolidated sales (38,297) (30,610) (99,686) (93,388)
Intersegment Eliminations | Consumer Packaging        
Segment Reporting Information [Line Items]        
Sales from reportable segments 5,087 2,057 10,404 5,881
Intersegment Eliminations | Industrial Paper Packaging        
Segment Reporting Information [Line Items]        
Sales from reportable segments $ 32,103 $ 26,678 $ 85,640 $ 81,982