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Quarterly Financial Data (Unaudited) (Narrative) (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Sep. 29, 2018
Jun. 30, 2018
Mar. 31, 2018
Dec. 30, 2017
Sep. 30, 2017
Jul. 01, 2017
Apr. 01, 2017
Sep. 29, 2018
Sep. 30, 2017
Oct. 01, 2016
Quarterly Financial Data [Line Items]                    
Post Tax Recognition of Tax Benefit from Remeasurement of Net Deferred Tax Liabilities               $ 1,004    
Asset Impairment Charges               175 $ 214 $ 45
Gain on disposition of Business               42 0 $ 0
AdvancePierre [Member]                    
Quarterly Financial Data [Line Items]                    
Business Acquisition, Expense from Purchase Accounting and Acquisition Related Costs         $ 26 $ 77        
AdvancePierre [Member] | Fair Value Adjustment to Inventory [Member]                    
Quarterly Financial Data [Line Items]                    
Business Acquisition, Fair Value Inventory Adjustment         12 24     36  
AdvancePierre [Member] | Acquisition-related Costs [Member]                    
Quarterly Financial Data [Line Items]                    
Business Combination, Acquisition Related Costs         14 35        
AdvancePierre [Member] | Acquisition-related Costs [Member] | Bridge Loan [Member]                    
Quarterly Financial Data [Line Items]                    
Business Combination, Acquisition Related Costs           18        
One Time Cash Bonus [Member]                    
Quarterly Financial Data [Line Items]                    
One-Time Cash Bonus     $ 109              
San Diego Prepared Foods operation [Member] | Prepared Foods [Member]                    
Quarterly Financial Data [Line Items]                    
Asset Impairment Charges             $ 52      
Financial Fitness Program [Member]                    
Quarterly Financial Data [Line Items]                    
Restructuring and Related Cost, Incurred Cost $ 14 $ 14 12 $ 19 150     $ 59 $ 150  
Non-Protein Business [Member]                    
Quarterly Financial Data [Line Items]                    
Benefit Recognized on the Outside Basis Difference in an Asset Held for Sale           $ 26        
Disposal Group, Held-for-sale or Disposed of by Sale, Not Discontinued Operations [Member] | Non-Protein Business [Member]                    
Quarterly Financial Data [Line Items]                    
Asset Impairment Charges, Net of (Gain) Loss on Disposition of Business       4            
Asset Impairment Charges     75   $ 45          
Gain on disposition of Business $ 11                  
After Tax [Member]                    
Quarterly Financial Data [Line Items]                    
Post Tax Recognition of Tax Benefit from Remeasurement of Net Deferred Tax Liabilities     $ 9 $ 994