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Segment Reporting (Narrative) (Details)
$ in Millions
3 Months Ended 12 Months Ended
Sep. 30, 2017
USD ($)
Jul. 01, 2017
USD ($)
Apr. 01, 2017
USD ($)
Dec. 31, 2016
USD ($)
Oct. 01, 2016
USD ($)
Jul. 02, 2016
USD ($)
Apr. 02, 2016
USD ($)
Jan. 02, 2016
USD ($)
Sep. 30, 2017
USD ($)
Segments
Oct. 01, 2016
USD ($)
Oct. 03, 2015
USD ($)
Segment Reporting Information [Line Items]                      
Number of segments | Segments                 4    
Sales $ (10,145) $ (9,850) $ (9,083) $ (9,182) $ (9,156) $ (9,403) $ (9,170) $ (9,152) $ (38,260) $ (36,881) $ (41,373)
UNITED STATES                      
Segment Reporting Information [Line Items]                      
Long-lived assets 21,600       17,300       21,600 17,300  
UNITED STATES | Long-Lived Assets Excluding Goodwill and Intangibles [Member]                      
Segment Reporting Information [Line Items]                      
Long-lived assets 6,000       5,600       6,000 5,600  
Other than the United States [Member]                      
Segment Reporting Information [Line Items]                      
Long-lived assets 217       204       217 204  
Other than the United States [Member] | Long-Lived Assets Excluding Goodwill and Intangibles [Member]                      
Segment Reporting Information [Line Items]                      
Long-lived assets $ 193       $ 180       $ 193 $ 180  
Customer Concentration Risk [Member] | Sales Revenue, Goods, Net [Member] | Wal-Mart Stores, Inc. [Member]                      
Segment Reporting Information [Line Items]                      
Concentration, Percentage                 17.30% 17.50% 16.80%
Geographic Concentration Risk [Member] | Sales Revenue, Goods, Net [Member] | UNITED STATES                      
Segment Reporting Information [Line Items]                      
Concentration, Percentage                 98.00% 98.00% 97.00%
Export sales [Member] | UNITED STATES                      
Segment Reporting Information [Line Items]                      
Sales                 $ (3,900) $ (3,500) $ (4,100)
Segment Reconciling Items [Member] | Other [Member]                      
Segment Reporting Information [Line Items]                      
Business Combination, Acquisition Related Costs                 67 37 47
Sales                 (349) (380) (879)
Intersegment Sales [Member]                      
Segment Reporting Information [Line Items]                      
Sales                 1,412 1,194 1,216
Intersegment Sales [Member] | Beef [Member]                      
Segment Reporting Information [Line Items]                      
Sales                 386 327 351
Intersegment Sales [Member] | Pork [Member]                      
Segment Reporting Information [Line Items]                      
Sales                 966 840 847
Intersegment Sales [Member] | Chicken [Member]                      
Segment Reporting Information [Line Items]                      
Sales                 $ 60 $ 27 $ 18
Maximum [Member] | Geographic Concentration Risk [Member] | Sales Revenue, Goods, Net [Member] | Other than the United States [Member]                      
Segment Reporting Information [Line Items]                      
Concentration, Percentage                 10.00% 10.00% 10.00%
AdvancePierre [Member]                      
Segment Reporting Information [Line Items]                      
Goodwill                     $ 3,000