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Revenue Recognition - Disaggregation of Revenue (Details) - USD ($)
$ in Thousands
3 Months Ended
Apr. 02, 2023
Apr. 03, 2022
Disaggregation of Revenue [Line Items]    
Revenue $ 1,729,783 $ 1,770,982
United States    
Disaggregation of Revenue [Line Items]    
Revenue 1,225,698 1,237,774
Europe    
Disaggregation of Revenue [Line Items]    
Revenue 244,699 261,122
Canada    
Disaggregation of Revenue [Line Items]    
Revenue 55,755 58,378
Asia    
Disaggregation of Revenue [Line Items]    
Revenue 83,297 99,545
Other    
Disaggregation of Revenue [Line Items]    
Revenue 120,334 114,163
Consumer Packaging    
Disaggregation of Revenue [Line Items]    
Revenue 909,278 868,098
Consumer Packaging | United States    
Disaggregation of Revenue [Line Items]    
Revenue 696,098 654,414
Consumer Packaging | Europe    
Disaggregation of Revenue [Line Items]    
Revenue 114,606 120,170
Consumer Packaging | Canada    
Disaggregation of Revenue [Line Items]    
Revenue 28,803 31,208
Consumer Packaging | Asia    
Disaggregation of Revenue [Line Items]    
Revenue 24,136 25,634
Consumer Packaging | Other    
Disaggregation of Revenue [Line Items]    
Revenue 45,635 36,672
Industrial Paper Packaging    
Disaggregation of Revenue [Line Items]    
Revenue 615,855 699,129
Industrial Paper Packaging | United States    
Disaggregation of Revenue [Line Items]    
Revenue 360,780 417,286
Industrial Paper Packaging | Europe    
Disaggregation of Revenue [Line Items]    
Revenue 107,808 116,827
Industrial Paper Packaging | Canada    
Disaggregation of Revenue [Line Items]    
Revenue 26,952 27,170
Industrial Paper Packaging | Asia    
Disaggregation of Revenue [Line Items]    
Revenue 58,831 73,619
Industrial Paper Packaging | Other    
Disaggregation of Revenue [Line Items]    
Revenue 61,484 64,227
All Other    
Disaggregation of Revenue [Line Items]    
Revenue 204,650 203,755
All Other | United States    
Disaggregation of Revenue [Line Items]    
Revenue 168,820 166,074
All Other | Europe    
Disaggregation of Revenue [Line Items]    
Revenue 22,285 24,125
All Other | Canada    
Disaggregation of Revenue [Line Items]    
Revenue 0 0
All Other | Asia    
Disaggregation of Revenue [Line Items]    
Revenue 330 292
All Other | Other    
Disaggregation of Revenue [Line Items]    
Revenue $ 13,215 $ 13,264