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Revenue Recognition - Disaggregation of Revenue (Details) - USD ($) $ in Thousands	3 Months Ended		6 Months Ended
	Jul. 02, 2023	Jul. 03, 2022	Jul. 02, 2023	Jul. 03, 2022
Disaggregation of Revenue [Line Items]
Revenue	$ 1,705,290	$ 1,913,332	$ 3,435,073	$ 3,684,314
United States
Disaggregation of Revenue [Line Items]
Revenue	1,209,994	1,389,363	2,435,692	2,627,136
Europe
Disaggregation of Revenue [Line Items]
Revenue	239,001	249,849	483,702	510,972
Canada
Disaggregation of Revenue [Line Items]
Revenue	56,000	57,292	111,754	115,669
Asia
Disaggregation of Revenue [Line Items]
Revenue	80,618	100,480	163,915	200,026
Other
Disaggregation of Revenue [Line Items]
Revenue	119,677	116,348	240,010	230,511
Consumer Packaging
Disaggregation of Revenue [Line Items]
Revenue	923,605	989,982	1,832,883	1,858,081
Consumer Packaging | United States
Disaggregation of Revenue [Line Items]
Revenue	708,660	791,096	1,404,758	1,445,511
Consumer Packaging | Europe
Disaggregation of Revenue [Line Items]
Revenue	115,532	109,910	230,139	230,080
Consumer Packaging | Canada
Disaggregation of Revenue [Line Items]
Revenue	31,789	27,980	60,591	59,188
Consumer Packaging | Asia
Disaggregation of Revenue [Line Items]
Revenue	24,466	23,407	48,602	49,041
Consumer Packaging | Other
Disaggregation of Revenue [Line Items]
Revenue	43,158	37,589	88,793	74,261
Industrial Paper Packaging
Disaggregation of Revenue [Line Items]
Revenue	585,143	727,402	1,200,998	1,426,529
Industrial Paper Packaging | United States
Disaggregation of Revenue [Line Items]
Revenue	339,933	436,680	700,713	853,965
Industrial Paper Packaging | Europe
Disaggregation of Revenue [Line Items]
Revenue	101,162	117,376	208,970	234,203
Industrial Paper Packaging | Canada
Disaggregation of Revenue [Line Items]
Revenue	24,211	29,312	51,163	56,481
Industrial Paper Packaging | Asia
Disaggregation of Revenue [Line Items]
Revenue	55,788	76,803	114,619	150,422
Industrial Paper Packaging | Other
Disaggregation of Revenue [Line Items]
Revenue	64,049	67,231	125,533	131,458
All Other
Disaggregation of Revenue [Line Items]
Revenue	196,542	195,948	401,192	399,704
All Other | United States
Disaggregation of Revenue [Line Items]
Revenue	161,401	161,587	330,221	327,660
All Other | Europe
Disaggregation of Revenue [Line Items]
Revenue	22,307	22,563	44,593	46,689
All Other | Canada
Disaggregation of Revenue [Line Items]
Revenue	0	0	0	0
All Other | Asia
Disaggregation of Revenue [Line Items]
Revenue	364	270	694	563
All Other | Other
Disaggregation of Revenue [Line Items]
Revenue	$ 12,470	$ 11,528	$ 25,684	$ 24,792

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