General (Details) $ / shares in Units, $ in Thousands	12 Months Ended
	Dec. 31, 2022 USD ($) Facility continent segment $ / shares shares	Jan. 01, 2022 USD ($) $ / shares shares	Jan. 02, 2021 USD ($) $ / shares shares	Jun. 09, 2022	Dec. 28, 2019 USD ($)	Apr. 03, 2019	May 02, 2018
General [Line Items]
Financing Receivable, Sale	$ 582,000	$ 443,600	$ 345,600
Expected Business Combination, Number of Continents in which Entity Operates | continent	5
Number of Operating Segments | segment	3
Cash and Cash Equivalents [Abstract]
Investments Classified As Cash Equivalents, Original Maturity	3 months
Goodwill [Abstract]
Goodwill	$ 1,970,377	1,219,116	1,260,240
Basic:
Net income	$ 737,690	$ 650,914	$ 296,819
Shares (in shares) | shares	161,000,000	162,454,000	162,572,000
Basic (in dollars per share) | $ / shares	$ 4.58	$ 4.01	$ 1.83
Effect of dilutive securities: [Abstract]
Add: Option shares in the money and dilutive effect of nonvested stock (in shares) | shares	3,831,000	5,468,000	6,526,000
Less: Pro-forma treasury shares (in shares) | shares	(710,000)	(826,000)	(1,890,000)
Diluted:
Net Income	$ 737,690	$ 650,914	$ 296,819
Shares (in shares) | shares	164,121,000	167,096,000	167,208,000
Diluted (in dollars per share) | $ / shares	$ 4.49	$ 3.90	$ 1.78
Stock Based Compensation [Abstract]
Stock-based compensation expense	$ 25,000	$ 21,800	$ 23,200
Employee service share-based compensation, tax benefit from compensation expense	1,700	1,800	1,900
Foreign currency translation	(84,800)	(78,700)	71,400
Financing Receivable, Significant Sales, Transaction Fees	$ 4,000	1,100	1,100
Lease, Term of Contract Not Recognized	12 months
Restructuring and asset impairment	$ 29,666	138	37,802
Cash and cash equivalents	127,016	68,906
Restricted cash	315	166
Restricted Cash and Cash Equivalents, Noncurrent	22,837	0
Cash, Cash Equivalents, Restricted Cash and Restricted Cash Equivalents	150,168	69,072	81,720		$ 73,045
Food Ingredients [Member]
Goodwill [Abstract]
Goodwill	317,637	332,405	350,835
Stock Based Compensation [Abstract]
Restructuring and asset impairment	18,400
Feed Ingredients [Member]
Goodwill [Abstract]
Goodwill	1,540,941	798,949	814,407
Stock Based Compensation [Abstract]
Restructuring and asset impairment	8,600
Fuel Ingredients [Member]
Goodwill [Abstract]
Goodwill	$ 111,799	87,762	94,998
Stock Based Compensation [Abstract]
Restructuring and asset impairment		$ 100	$ 6,200
Stock Options [Member]
Antidilutive Securities [Abstract]
Antidilutive securities excluded from computation of earnings per share, amount | shares	0	0	24,356
Non Vested Stock [Member]
Antidilutive Securities [Abstract]
Antidilutive securities excluded from computation of earnings per share, amount | shares	266,246	195,542	392,909
Minimum [Member]
General [Line Items]
Number of Processing and Transfer Facilities | Facility	260
Minimum [Member] | Buildings and improvements [Member]
Long Lived Assets [Abstract]
Property, Plant and Equipment, Useful Life	15 years
Minimum [Member] | Machinery and equipment [Member]
Long Lived Assets [Abstract]
Property, Plant and Equipment, Useful Life	3 years
Minimum [Member] | Vehicles [Member]
Long Lived Assets [Abstract]
Property, Plant and Equipment, Useful Life	3 years
Minimum [Member] | Aircraft [Member]
Long Lived Assets [Abstract]
Property, Plant and Equipment, Useful Life	7 years
Minimum [Member] | Routes [Member]
Long Lived Assets [Abstract]
Finite-Lived Intangible Assets, Useful Life	5 years
Minimum [Member] | Permits [Member]
Long Lived Assets [Abstract]
Finite-Lived Intangible Assets, Useful Life	10 years
Minimum [Member] | Non-compete agreements [Member]
Long Lived Assets [Abstract]
Finite-Lived Intangible Assets, Useful Life	3 years
Minimum [Member] | Trade Names [Member]
Long Lived Assets [Abstract]
Finite-Lived Intangible Assets, Useful Life	4 years
Maximum [Member] | Buildings and improvements [Member]
Long Lived Assets [Abstract]
Property, Plant and Equipment, Useful Life	30 years
Maximum [Member] | Machinery and equipment [Member]
Long Lived Assets [Abstract]
Property, Plant and Equipment, Useful Life	10 years
Maximum [Member] | Vehicles [Member]
Long Lived Assets [Abstract]
Property, Plant and Equipment, Useful Life	8 years
Maximum [Member] | Aircraft [Member]
Long Lived Assets [Abstract]
Property, Plant and Equipment, Useful Life	10 years
Maximum [Member] | Routes [Member]
Long Lived Assets [Abstract]
Finite-Lived Intangible Assets, Useful Life	21 years
Maximum [Member] | Permits [Member]
Long Lived Assets [Abstract]
Finite-Lived Intangible Assets, Useful Life	20 years
Maximum [Member] | Non-compete agreements [Member]
Long Lived Assets [Abstract]
Finite-Lived Intangible Assets, Useful Life	7 years
Maximum [Member] | Trade Names [Member]
Long Lived Assets [Abstract]
Finite-Lived Intangible Assets, Useful Life	15 years
Senior Notes 5.25% Due 2027 [Member] | Senior Notes [Member]
General [Line Items]
Annual interest rate	5.25%					5.25%
Senior Notes 3.625% Due 2026 [Member] | Senior Notes [Member]
General [Line Items]
Annual interest rate	3.625%						3.625%
Senior Notes 6% Due 2030 | Senior Notes [Member]
General [Line Items]
Annual interest rate	6.00%			6.00%