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Acquisitions (Details)
$ in Thousands, CAD in Millions, € in Billions
 3 Months Ended 12 Months Ended
Oct. 01, 2014
USD ($)
Jan. 07, 2014
USD ($)
brand
continent
Jan. 07, 2014
EUR (€)
Oct. 28, 2013
USD ($)
facilities
Oct. 28, 2013
CAD
Aug. 26, 2013
USD ($)
Jan. 02, 2016
USD ($)
Oct. 03, 2015
USD ($)
Jul. 04, 2015
USD ($)
Apr. 04, 2015
USD ($)
Jan. 03, 2015
USD ($)
Sep. 27, 2014
USD ($)
Jun. 28, 2014
USD ($)
Mar. 29, 2014
USD ($)
Jan. 02, 2016
USD ($)
Jan. 03, 2015
USD ($)
Dec. 28, 2013
USD ($)
Jan. 02, 2014
USD ($)
Business Acquisition [Line Items]                                    
Issuance of common stock                             $ 3,670 $ 8,612 $ 843,154  
Net income             $ 84,429 $ (9,087) $ 3,080 $ 109 $ 69,943 $ 14,318 $ 32,757 $ (52,803) 78,531 64,215 108,967  
Goodwill             1,233,102       1,320,419       1,233,102 1,320,419 701,637  
Payments to Acquire Businesses, Net of Cash Acquired                             377 2,094,400 734,075  
Feed Ingredients [Member]                                    
Business Acquisition [Line Items]                                    
Goodwill             796,883       847,594       796,883 847,594 663,897  
Food Ingredients [Member]                                    
Business Acquisition [Line Items]                                    
Goodwill             323,385       346,153       323,385 346,153 0  
Fuel Ingredients [Member]                                    
Business Acquisition [Line Items]                                    
Goodwill             112,834       126,672       112,834 126,672 37,740  
Vion Ingredients [Member]                                    
Business Acquisition [Line Items]                                    
Business Combination, Consideration Transferred   $ 2,200,000 € 1.6                              
Foreign Currency Exchange Rate, Translation   1.3605                                
Goodwill   $ 702,672                                
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Inventory   $ 375,306                                
Business Combination, Goodwill Deductible for Tax Purposes, Percent   33.00%                                
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net [Abstract]                                    
Property plant and equipment   $ 981,009                                
Deferred tax liability   $ 350,003                                
Number of Continents in which Entity Operates | continent   5                                
Number of Brands Entity Operates | brand   6                                
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Cash and Equivalents   $ 91,166                                
Vion Ingredients [Member] | Routes [Member]                                    
Business Acquisition [Line Items]                                    
Acquired finite-lived Intangible assets, weighted-average useful life   10 years 10 years                              
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net [Abstract]                                    
Identifiable intangibles   $ 190,200                                
Vion Ingredients [Member] | Permits [Member]                                    
Business Acquisition [Line Items]                                    
Acquired finite-lived Intangible assets, weighted-average useful life   15 years 15 years                              
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net [Abstract]                                    
Identifiable intangibles   $ 225,600                                
Vion Ingredients [Member] | Patents and Other Intangibles [Member]                                    
Business Acquisition [Line Items]                                    
Acquired finite-lived Intangible assets, weighted-average useful life   25 years 25 years                              
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net [Abstract]                                    
Identifiable intangibles   $ 16,500                                
Vion Ingredients [Member] | Feed Ingredients [Member]                                    
Business Acquisition [Line Items]                                    
Goodwill   223,200                                
Vion Ingredients [Member] | Food Ingredients [Member]                                    
Business Acquisition [Line Items]                                    
Goodwill   375,600                                
Vion Ingredients [Member] | Fuel Ingredients [Member]                                    
Business Acquisition [Line Items]                                    
Goodwill   103,800                                
Rothsay and VION Acquisitions [Member]                                    
Business Acquisition [Line Items]                                    
Business Acquisition, Transaction Costs             $ 8,300       $ 24,400       $ 8,300 $ 24,400 22,200  
Rothsay [Member]                                    
Business Acquisition [Line Items]                                    
Business Combination, Consideration Transferred       $ 612,600 CAD 640.2                          
Foreign Currency Exchange Rate, Translation       0.9569                            
Cash consideration paid | CAD         644.5                          
Business Combination, Contingent Receivable | CAD         CAD 4.3                          
Number Of Plants | facilities       5                            
Goodwill       $ 262,797                            
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Inventory       $ 5,479                            
Business Combination, Goodwill Deductible for Tax Purposes, Percent       75.00%                            
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net [Abstract]                                    
Property plant and equipment       $ 138,175                            
Identifiable intangibles       240,386                            
Deferred tax liability       $ 15,031                            
Rothsay [Member] | Routes [Member]                                    
Business Acquisition [Line Items]                                    
Acquired finite-lived Intangible assets, weighted-average useful life       21 years 21 years                          
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net [Abstract]                                    
Identifiable intangibles       $ 172,600                            
Rothsay [Member] | Permits [Member]                                    
Business Acquisition [Line Items]                                    
Acquired finite-lived Intangible assets, weighted-average useful life       13 years 13 years                          
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net [Abstract]                                    
Identifiable intangibles       $ 55,600                            
Rothsay [Member] | Trade Names [Member]                                    
Business Acquisition [Line Items]                                    
Acquired finite-lived Intangible assets, weighted-average useful life       4 years 4 years                          
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net [Abstract]                                    
Identifiable intangibles       $ 9,000                            
Rothsay [Member] | Non-compete agreements [Member]                                    
Business Acquisition [Line Items]                                    
Acquired finite-lived Intangible assets, weighted-average useful life       7 years 7 years                          
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net [Abstract]                                    
Identifiable intangibles       $ 3,200                            
Rothsay [Member] | Feed Ingredients [Member]                                    
Business Acquisition [Line Items]                                    
Goodwill       $ 224,600                            
Rothsay [Member] | Biodiesel [Member]                                    
Business Acquisition [Line Items]                                    
Number Of Plants | facilities       1                            
Rothsay [Member] | Fuel Ingredients [Member]                                    
Business Acquisition [Line Items]                                    
Goodwill       $ 38,200                            
CustomBlendersCompany [Member]                                    
Business Acquisition [Line Items]                                    
Goodwill $ 5,200                                  
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Inventory $ 1,000                                  
Acquired finite-lived Intangible assets, weighted-average useful life 14 years                                  
Payments to Acquire Businesses, Net of Cash Acquired $ 18,800                                  
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net [Abstract]                                    
Property plant and equipment 3,200                                  
Identifiable intangibles $ 8,600                                  
Business Combination, Contingent Consideration, Asset                 $ 800                  
Goodwill, Period Increase (Decrease)               $ 500                    
Terra Holding Company [Member]                                    
Business Acquisition [Line Items]                                    
Goodwill           $ 61,100                        
Acquired finite-lived Intangible assets, weighted-average useful life           12 years                        
Payments to Acquire Businesses, Net of Cash Acquired           $ 122,100                        
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net [Abstract]                                    
Property plant and equipment           27,700                        
Identifiable intangibles           46,200                        
Deferred tax liability           19,500                        
Working Capital           6,600                        
Business Acquisition, Goodwill, Expected Tax Deductible Amount           $ 5,200                        
Common Stock [Member]                                    
Business Acquisition [Line Items]                                    
Issuance of common stock                                 $ 874,000  
Senior Notes [Member]                                    
Business Acquisition [Line Items]                                    
Face amount of debt insturment                                   $ 500,000
Trademarks and Trade Names [Member] | Vion Ingredients [Member]                                    
Business Acquisition [Line Items]                                    
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Indefinite-Lived Intangible Assets   $ 32,000