Segment Reporting - Schedule of Segment Financial Information (Details) - USD ($) $ in Thousands	3 Months Ended		6 Months Ended
	Jun. 30, 2024	Jul. 02, 2023	Jun. 30, 2024	Jul. 02, 2023
Segment Reporting Information [Line Items]
Net sales	$ 1,623,479	$ 1,705,290	$ 3,261,022	$ 3,435,073
Operating profit	140,372	187,859	252,825	417,507
Restructuring/Asset impairment charges	(19,250)	(6,057)	(50,868)	(34,871)
Amortization of acquisition intangibles	(22,511)	(20,539)	(45,450)	(41,703)
Gains from divestiture of business and other assets	4,478	7,371	4,478	79,381
Acquisition, integration and divestiture-related costs	(22,269)	(4,532)	(27,930)	(9,720)
Changes in LIFO inventory reserves	1,418	1,575	987	7,000
Derivative gains/(losses)	3,485	4,288	3,771	(1,796)
Other operating income/(charges), net	2,056	(5,187)	(1,124)	(5,144)
Other income, net	5,867	0	5,867	0
Non-operating pension costs	(4,170)	(3,342)	(7,465)	(7,000)
Interest expense	(29,640)	(34,284)	(60,860)	(68,516)
Interest income	3,555	1,944	7,113	3,506
Income before income taxes	115,984	152,177	197,480	345,497
Intersegment sales
Segment Reporting Information [Line Items]
Net sales	33,275	39,620	67,028	83,136
Operating Segments
Segment Reporting Information [Line Items]
Net sales	1,528,499	1,556,463	3,032,136	3,130,326
Operating profit	179,100	188,155	337,971	379,015
Operating Segments | Intersegment sales
Segment Reporting Information [Line Items]
Net sales	31,416	37,775	63,378	78,502
Operating Segments | Consumer Packaging
Segment Reporting Information [Line Items]
Net sales	927,729	971,320	1,838,306	1,929,328
Operating profit	112,142	101,115	205,169	197,608
Operating Segments | Consumer Packaging | Intersegment sales
Segment Reporting Information [Line Items]
Net sales	4,529	2,364	8,074	4,371
Operating Segments | Industrial Paper Packaging
Segment Reporting Information [Line Items]
Net sales	600,770	585,143	1,193,830	1,200,998
Operating profit	66,958	87,040	132,802	181,407
Operating Segments | Industrial Paper Packaging | Intersegment sales
Segment Reporting Information [Line Items]
Net sales	26,887	35,411	55,304	74,131
All Other
Segment Reporting Information [Line Items]
Net sales	94,980	148,827	228,886	304,747
Operating profit	13,865	22,785	30,990	45,345
All Other | Intersegment sales
Segment Reporting Information [Line Items]
Net sales	$ 1,859	$ 1,845	$ 3,650	$ 4,634