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Goodwill and Other Intangible Assets - Additional Information (Details) - USD ($)
3 Months Ended 9 Months Ended
Sep. 08, 2023
Jul. 01, 2023
Oct. 01, 2023
Oct. 02, 2022
Oct. 01, 2023
Oct. 02, 2022
Dec. 31, 2022
[1]
Goodwill [Line Items]              
Impairment of goodwill         $ 0    
Goodwill     $ 1,762,411,000   1,762,411,000   $ 1,675,311,000
Indefinite-lived intangible assets     0   0    
Aggregate amortization expense     21,379,000 $ 20,690,000 63,082,000 $ 60,361,000  
Amortization expense on other intangible assets in 2023     85,000,000   85,000,000    
Amortization expense on other intangible assets in 2024     84,200,000   84,200,000    
Amortization expense on other intangible assets in 2025     75,700,000   75,700,000    
Amortization expense on other intangible assets in 2026     73,200,000   73,200,000    
Amortization expense on other intangible assets in 2027     $ 70,200,000   $ 70,200,000    
Minimum | Other              
Goodwill [Line Items]              
Useful lives of intangible asset     3 years   3 years    
Maximum | Other              
Goodwill [Line Items]              
Useful lives of intangible asset     40 years   40 years    
BulkSak Businesses              
Goodwill [Line Items]              
Write off of assets as part of the sale totaling   $ 2,704,000          
RTS Packaging and Chattanooga Mill              
Goodwill [Line Items]              
Goodwill $ 92,657,000            
Other intangible assets $ 199,560,000            
Weighted average useful life 17 years 6 months            
Plastics - Medical Reporting Unit              
Goodwill [Line Items]              
Goodwill     $ 62,627,000   $ 62,627,000    
Excess of fair value of reporting unit over carrying value (percent)     29.90%   29.90%    
Plastics - Medical Reporting Unit | Discount Rate              
Goodwill [Line Items]              
Discount rate (percent)     12.00%   12.00%    
Change necessary in order for estimated fair value to fall below carrying value (percent)     14.50%   14.50%    
[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.”).