Consolidated Statements of Stockholders’ Equity - USD ($) $ in Thousands	Total	Parent [Member]	Common Stock [Member]	Additional Paid-in Capital [Member]	Treasury Stock, Common	AOCI Attributable to Parent [Member]	Retained Earnings [Member]	Noncontrolling Interest [Member]	Commodity derivative adjustments	Commodity derivative adjustments Parent [Member]	Commodity derivative adjustments AOCI Attributable to Parent [Member]	Foreign exchange derivative adjustments	Foreign exchange derivative adjustments Parent [Member]	Foreign exchange derivative adjustments AOCI Attributable to Parent [Member]	Interest rate swap derivative adjustments	Interest rate swap derivative adjustments Parent [Member]	Interest rate swap derivative adjustments AOCI Attributable to Parent [Member]
Balance (in shares) at Jan. 02, 2021			162,200,389
Stockholders' Equity, Beginning Balance at Jan. 02, 2021	$ 2,954,209	$ 2,891,909	$ 1,699	$ 1,597,429	$ (151,710)	$ (252,433)	$ 1,696,924	$ 62,300
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	657,290	650,914					650,914	6,376
Distribution of noncontrolling interest earnings	(6,316)							(6,316)
Pension adjustments, net of tax	12,669	12,669				12,669
Derivative adjustments									$ 2,591	$ 2,591	$ 2,591	$ (5,833)	$ (5,833)	$ (5,833)	$ 0
Foreign currency translation adjustments	(74,219)	(78,684)				(78,684)		4,465
Stock Issued During Period, Value, Restricted Stock Award, Gross	171	171		171
Stock-based compensation	21,666	21,666		21,666
Treasury stock (in shares)			(3,262,750)
Treasury stock	(223,011)	(223,011)			(223,011)
Issuance of common stock (in shares)			1,854,365
Issuance of common stock	8,568	8,568	$ 18	8,550
Balance (in shares) at Jan. 01, 2022			160,792,004
Stockholders' Equity, Ending Balance at Jan. 01, 2022	3,347,785	3,280,960	$ 1,717	1,627,816	(374,721)	(321,690)	2,347,838	66,825
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	747,092	737,690					737,690	9,402
Noncontrolling Interest, Increase from Business Combination	18,058							18,058
Distribution of noncontrolling interest earnings	(3,744)							(3,744)
Pension adjustments, net of tax	8,966	8,966				8,966
Derivative adjustments									1,428	1,428	1,428	12,204	12,204	12,204	0
Foreign currency translation adjustments	(87,856)	(84,782)				(84,782)		(3,074)
Stock Issued During Period, Shares, Restricted Stock Award, Gross			8,000
Stock Issued During Period, Value, Restricted Stock Award, Gross	155	155		155
Stock-based compensation	24,850	24,850		24,850
Treasury stock (in shares)			(2,680,904)
Treasury stock	(179,730)	(179,730)			(179,730)
Issuance of common stock (in shares)			1,850,496
Issuance of common stock	7,282	7,282	$ 19	7,263
Balance (in shares) at Dec. 31, 2022			159,969,596
Stockholders' Equity, Ending Balance at Dec. 31, 2022	3,896,490	3,809,023	$ 1,736	1,660,084	(554,451)	(383,874)	3,085,528	87,467
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income	660,389	647,726					647,726	12,663
Distribution of noncontrolling interest earnings	(9,036)							(9,036)
Additions to noncontrolling interests	205							205
Pension adjustments, net of tax	2,284	2,284				2,284
Derivative adjustments									$ 33,813	$ 33,813	$ 33,813	$ 3,732	$ 3,732	$ 3,732	$ 3,009	$ 3,009	$ 3,009
Foreign currency translation adjustments	139,651	142,690				142,690		(3,039)
Stock Issued During Period, Value, Restricted Stock Award, Gross	186	186		186
Stock-based compensation	32,970	32,970		32,970
Treasury stock (in shares)			(1,270,689)
Treasury stock	(74,557)	(74,557)			(74,557)
Issuance of common stock (in shares)			834,882
Issuance of common stock	4,555	4,555	$ 8	4,547
Balance (in shares) at Dec. 30, 2023			159,533,789
Stockholders' Equity, Ending Balance at Dec. 30, 2023	$ 4,693,691	$ 4,605,431	$ 1,744	$ 1,697,787	$ (629,008)	$ (198,346)	$ 3,733,254	$ 88,260