Revenue Recognition - Schedule of Disaggregation of Revenue (Details) - USD ($) $ in Thousands	3 Months Ended		6 Months Ended
	Jun. 30, 2024	Jul. 02, 2023	Jun. 30, 2024	Jul. 02, 2023
Disaggregation of Revenue [Line Items]
Revenue	$ 1,623,479	$ 1,705,290	$ 3,261,022	$ 3,435,073
United States
Disaggregation of Revenue [Line Items]
Revenue	1,140,557	1,209,994	2,282,406	2,435,692
Europe
Disaggregation of Revenue [Line Items]
Revenue	220,760	239,001	445,637	483,702
Canada
Disaggregation of Revenue [Line Items]
Revenue	61,160	56,000	116,383	111,754
Asia
Disaggregation of Revenue [Line Items]
Revenue	78,784	80,618	161,992	163,915
Other
Disaggregation of Revenue [Line Items]
Revenue	122,218	119,677	254,604	240,010
Operating Segments
Disaggregation of Revenue [Line Items]
Revenue	1,528,499	1,556,463	3,032,136	3,130,326
Operating Segments \| Consumer Packaging
Disaggregation of Revenue [Line Items]
Revenue	927,729	971,320	1,838,306	1,929,328
Operating Segments \| Industrial Paper Packaging
Disaggregation of Revenue [Line Items]
Revenue	600,770	585,143	1,193,830	1,200,998
Operating Segments \| United States \| Consumer Packaging
Disaggregation of Revenue [Line Items]
Revenue	697,610	749,077	1,375,525	1,486,868
Operating Segments \| United States \| Industrial Paper Packaging
Disaggregation of Revenue [Line Items]
Revenue	363,215	339,933	717,581	700,713
Operating Segments \| Europe \| Consumer Packaging
Disaggregation of Revenue [Line Items]
Revenue	109,704	119,831	222,491	238,672
Operating Segments \| Europe \| Industrial Paper Packaging
Disaggregation of Revenue [Line Items]
Revenue	96,428	101,162	194,128	208,970
Operating Segments \| Canada \| Consumer Packaging
Disaggregation of Revenue [Line Items]
Revenue	35,745	31,789	66,197	60,591
Operating Segments \| Canada \| Industrial Paper Packaging
Disaggregation of Revenue [Line Items]
Revenue	25,415	24,211	50,186	51,163
Operating Segments \| Asia \| Consumer Packaging
Disaggregation of Revenue [Line Items]
Revenue	24,488	24,466	50,394	48,602
Operating Segments \| Asia \| Industrial Paper Packaging
Disaggregation of Revenue [Line Items]
Revenue	53,937	55,788	110,886	114,619
Operating Segments \| Other \| Consumer Packaging
Disaggregation of Revenue [Line Items]
Revenue	60,182	46,157	123,699	94,595
Operating Segments \| Other \| Industrial Paper Packaging
Disaggregation of Revenue [Line Items]
Revenue	61,775	64,049	121,049	125,533
All Other
Disaggregation of Revenue [Line Items]
Revenue	94,980	148,827	228,886	304,747
All Other \| United States
Disaggregation of Revenue [Line Items]
Revenue	79,732	120,984	189,300	248,111
All Other \| Europe
Disaggregation of Revenue [Line Items]
Revenue	14,628	18,008	29,018	36,060
All Other \| Canada
Disaggregation of Revenue [Line Items]
Revenue	0	0	0	0
All Other \| Asia
Disaggregation of Revenue [Line Items]
Revenue	359	364	712	694
All Other \| Other
Disaggregation of Revenue [Line Items]
Revenue	$ 261	$ 9,471	$ 9,856	$ 19,882