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Goodwill and Other Intangible Assets - Additional Information (Details) - USD ($)
 3 Months Ended 9 Months Ended 10 Months Ended
Sep. 28, 2025
Sep. 29, 2024
Sep. 28, 2025
Sep. 29, 2024
Sep. 28, 2025
Dec. 31, 2024
Dec. 04, 2024
Goodwill [Line Items]              
Reclassified to assets held for sale     $ 173,394,000        
Impairment of goodwill     0        
Goodwill $ 2,473,367,000   2,473,367,000   $ 2,473,367,000 $ 2,525,657,000 [1]  
Intangible assets, reclassification, held for sale 9,430,000            
Intangible assets, reclassification, held for sale, gross 89,703,000            
Intangible assets, reclassification, held for sale, accumulated amortization (80,273,000)            
Indefinite-lived intangible assets 0   0   0    
Aggregate amortization expense 49,034,000 $ 17,624,000 135,188,000 $ 52,997,000      
Amortization expense on other intangible assets in 2025 181,300,000   181,300,000   181,300,000    
Amortization expense on other intangible assets in 2026 179,600,000   179,600,000   179,600,000    
Amortization expense on other intangible assets in 2027 178,900,000   178,900,000   178,900,000    
Amortization expense on other intangible assets in 2028 178,600,000   178,600,000   178,600,000    
Amortization expense on other intangible assets in 2029 176,300,000   176,300,000   176,300,000    
All Other              
Goodwill [Line Items]              
Reclassified to assets held for sale     173,394,000        
Goodwill 55,237,000   55,237,000   55,237,000 $ 231,050,000  
Eviosys              
Goodwill [Line Items]              
Goodwill 1,231,819,000   1,231,819,000   1,231,819,000   $ 1,285,518,000
Other intangible assets     42,379,000   42,379,000    
Customer lists | Disposed of by sale, not discontinued operations | Recycling Facility              
Goodwill [Line Items]              
Wrote off other intangible assets $ 1,455,000   $ 1,455,000   $ 1,455,000    
Minimum | Other              
Goodwill [Line Items]              
Useful lives of intangible asset 3 years   3 years   3 years    
Maximum | Other              
Goodwill [Line Items]              
Useful lives of intangible asset 20 years   20 years   20 years    
Metal Packaging EMEA Reporting Unit              
Goodwill [Line Items]              
Excess of fair value of reporting unit over carrying value (percent) 3.10%   3.10%   3.10%    
Estimated reduced fair value of reporting unit over carrying value (percent) 300.00%   300.00%   300.00%    
Goodwill $ 1,361,339,000   $ 1,361,339,000   $ 1,361,339,000    
Metal Packaging EMEA Reporting Unit | Discount Rate              
Goodwill [Line Items]              
Discount rate (percent) 12.00%   12.00%   12.00%    
Change necessary in order for estimated fair value to fall below carrying value (percent) 12.70%   12.70%   12.70%    
Global Paper Products APAC Reporting Unit              
Goodwill [Line Items]              
Excess of fair value of reporting unit over carrying value (percent) 9.00%   9.00%   9.00%    
Estimated reduced fair value of reporting unit over carrying value (percent) 8.40%   8.40%   8.40%    
Goodwill $ 26,721,000   $ 26,721,000   $ 26,721,000    
Global Paper Products APAC Reporting Unit | Discount Rate              
Goodwill [Line Items]              
Discount rate (percent) 13.00%   13.00%   13.00%    
Change necessary in order for estimated fair value to fall below carrying value (percent) 15.40%   15.40%   15.40%    
[1] The year-end condensed consolidated balance sheet data was derived from audited financial statements, but does not include all disclosures required by accounting principles generally accepted in the United States of America (the “United States” or “U.S.”).