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Segment Reporting - Schedule of Segment Financial Information (Details) - USD ($)
$ in Thousands
 3 Months Ended
Mar. 30, 2025
Mar. 31, 2024
Segment Reporting Information [Line Items]    
Sales from reportable segments $ 1,654,086 $ 1,204,922
Other sales 86,289 135,697
Total consolidated sales 1,709,228 1,308,636
Cost of sales (1,355,541) (1,037,471)
Segment operating profit 126,860 72,572
Other segment disclosures:    
Equity in (loss)/earnings of affiliates, net of tax 1,921 1,137
Depreciation, depletion and amortization 121,492 90,559
Consumer Packaging    
Segment Reporting Information [Line Items]    
Sales from reportable segments 1,069,362 583,445
Industrial Paper Packaging    
Segment Reporting Information [Line Items]    
Sales from reportable segments 584,724 621,477
Operating Segments    
Segment Reporting Information [Line Items]    
Sales from reportable segments 1,624,302 1,174,730
Segment operating profit 211,895 124,411
Other segment disclosures:    
Equity in (loss)/earnings of affiliates, net of tax 1,921 1,137
Operating Segments | Consumer Packaging    
Segment Reporting Information [Line Items]    
Sales from reportable segments 1,066,593 581,670
Total consolidated sales 1,066,593 581,670
Cost of sales (853,732) (479,490)
Other segment items (74,859) (45,388)
Segment operating profit 140,771 58,567
Other segment disclosures:    
Equity in (loss)/earnings of affiliates, net of tax (51) 13
Depreciation, depletion and amortization 48,955 24,897
Operating Segments | Industrial Paper Packaging    
Segment Reporting Information [Line Items]    
Sales from reportable segments 557,709 593,060
Total consolidated sales 557,709 593,060
Cost of sales (421,983) (459,134)
Other segment items (91,617) (96,499)
Segment operating profit 71,124 65,844
Other segment disclosures:    
Equity in (loss)/earnings of affiliates, net of tax 1,972 1,124
Depreciation, depletion and amortization 28,333 28,503
Intersegment Eliminations    
Segment Reporting Information [Line Items]    
Sales from reportable segments 29,784 30,192
Total consolidated sales (31,147) (31,983)
Intersegment Eliminations | Consumer Packaging    
Segment Reporting Information [Line Items]    
Sales from reportable segments 2,769 1,775
Intersegment Eliminations | Industrial Paper Packaging    
Segment Reporting Information [Line Items]    
Sales from reportable segments $ 27,015 $ 28,417