General (Details) $ / shares in Units, $ in Thousands, R$ in Millions	3 Months Ended	12 Months Ended
	Jul. 01, 2023 USD ($)	Dec. 30, 2023 USD ($) segment continent Facility $ / shares shares	Dec. 31, 2022 USD ($) $ / shares shares	Jan. 01, 2022 USD ($) $ / shares shares	Jul. 01, 2023 BRL (R$)	Aug. 01, 2022 USD ($)	Aug. 01, 2022 BRL (R$)	Jun. 09, 2022	Jan. 02, 2021 USD ($)	Apr. 03, 2019	May 02, 2018
General [Line Items]
Financing Receivable, Sale		$ 532,600	$ 582,000	$ 443,600
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		$ 2,484,502	1,970,377	1,219,116
Basic:
Net income		$ 647,726	$ 737,690	$ 650,914
Shares (in shares) | shares		159,861,000	161,000,000	162,454,000
Basic (in dollars per share) | $ / shares		$ 4.05	$ 4.58	$ 4.01
Effect of dilutive securities: [Abstract]
Add: Option shares in the money and dilutive effect of nonvested stock (in shares) | shares		3,314,000	3,831,000	5,468,000
Less: Pro-forma treasury shares (in shares) | shares		(788,000)	(710,000)	(826,000)
Diluted:
Net Income		$ 647,726	$ 737,690	$ 650,914
Shares (in shares) | shares		162,387,000	164,121,000	167,096,000
Diluted (in dollars per share) | $ / shares		$ 3.99	$ 4.49	$ 3.90
Stock Based Compensation [Abstract]
Stock-based compensation expense		$ 33,200	$ 25,000	$ 21,800
Employee service share-based compensation, tax benefit from compensation expense		2,600	1,700	1,800
Foreign currency translation		142,700	(84,800)	(78,700)
Financing Receivable, Significant Sales, Transaction Fees		$ 7,500	4,000	1,100
Lease, Term of Contract Not Recognized		12 months
Asset impairment		$ 4,734	29,666	138
Cash and cash equivalents		126,502	127,016
Restricted cash		292	315
Restricted Cash and Cash Equivalents, Noncurrent		137,656	22,837
Cash, Cash Equivalents, Restricted Cash and Restricted Cash Equivalents		264,450	150,168	69,072					$ 81,720
FASA Group
Goodwill [Abstract]
Goodwill						$ 301,937
Stock Based Compensation [Abstract]
Business Combination, Contingent Consideration, Liability	$ 83,000				R$ 428.2	168,100	R$ 867.5
FASA Group | Revision of Prior Period, Error Correction, Adjustment
Stock Based Compensation [Abstract]
Business Combination, Contingent Consideration, Liability						$ 85,100
Goodwill, Period Increase (Decrease)	$ 85,144
Food Ingredients [Member]
Goodwill [Abstract]
Goodwill		897,537	317,637	332,405
Stock Based Compensation [Abstract]
Asset impairment		1,800	18,400
Feed Ingredients [Member]
Goodwill [Abstract]
Goodwill		1,471,322	1,540,941	798,949
Stock Based Compensation [Abstract]
Asset impairment		2,900	8,600
Fuel Ingredients [Member]
Goodwill [Abstract]
Goodwill		$ 115,643	$ 111,799	87,762
Stock Based Compensation [Abstract]
Asset impairment				$ 100
Stock Options [Member]
Antidilutive Securities [Abstract]
Antidilutive securities excluded from computation of earnings per share, amount | shares		0	0	0
Non Vested Stock [Member]
Antidilutive Securities [Abstract]
Antidilutive securities excluded from computation of earnings per share, amount | shares		311,919	266,246	195,542
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
Minimum [Member] | Customer Relationships
Long Lived Assets [Abstract]
Finite-Lived Intangible Assets, Useful Life		10 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
Maximum [Member] | Customer Relationships
Long Lived Assets [Abstract]
Finite-Lived Intangible Assets, Useful Life		20 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%