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Fair Value Measurements Fair Value Measurements (Narrative) (Details) - USD ($)
12 Months Ended
Oct. 03, 2020
Sep. 28, 2019
Sep. 29, 2018
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Derivative Liability, Collateral, Right to Reclaim Cash, Offset $ 16,000,000 $ 95,000,000  
Other-than-temporary Impairment Loss, Debt Securities, Portion Recognized in Earnings 0 0  
Other-than-temporary Impairment Loss, Debt Securities, Available-for-sale 0    
Other than Temporary Impairment Losses, Investments, Portion in Other Comprehensive Loss, Net of Tax, Portion Attributable to Parent 0 0  
Asset Impairment Charges $ 48,000,000 $ 94,000,000 $ 175,000,000
Wal-Mart Stores, Inc. [Member] | Accounts Receivable [Member] | Customer Concentration Risk [Member]      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Concentration, Percentage 16.50% 16.20%  
Prepared Foods business [Member] | Prepared Foods [Member] | Cost of Sales [Member]      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Asset Impairment Charges   $ 41,000,000  
Disposal Group, Held-for-sale or Disposed of by Sale, Not Discontinued Operations [Member] | Non-Protein Business [Member] | Prepared Foods [Member] | Cost of Sales [Member]      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Asset Impairment Charges     101,000,000
Disposal Group, Held-for-sale or Disposed of by Sale, Not Discontinued Operations [Member] | Non-Protein Business [Member] | Fair Value, Nonrecurring [Member] | Cost of Sales [Member]      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Asset Impairment Charges     $ 101,000,000
Maximum [Member]      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Short Term Investment Maturity Period 12 months    
Available For Sale Securities Debt Maturity Period 40 years    
Maximum [Member] | Accounts Receivable [Member] | Customer Concentration Risk [Member]      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Concentration, Percentage 10.00% 10.00%