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Income Taxes (Narrative) (Details) - USD ($)
$ in Millions
12 Months Ended
Jan. 02, 2016
Jan. 03, 2015
Dec. 28, 2013
Operating Loss Carryforwards [Line Items]      
Effective income tax rate 20.60% 22.60% 30.40%
Non-cash gain from deconsolidation $ 49 $ 0 $ 0
Amount Recognized in Income Due to Inflationary Accounting 112   15
Accumulated foreign earnings considered permanently reinvested 2,000 2,200 2,200
Deferred taxes related to foreign earnings not considered indefinitely reinvested 0 1 2
Unremitted foreign earnings   23 24
Tax benefits of carryforwards 55 54  
Valuation allowance 45 39  
Income taxes paid $ 337 414 426
U.S percentage of tax provision 50.00%    
Unrecognized tax benefits classified as current liabilities $ 13    
Projected additions to unrecognized tax benefits related to ongoing intercompany pricing activity 8    
Unrecognized tax benefits that would affect the Company's effective tax rate in future periods 48    
Income Tax Examination, Interest Expense 3 3 4
IncomeTaxSettelmentPenaltiesAndInterestExpense     6
Accrued tax-related interest and penalties 17 $ 20 $ 17
U.S. Snacks | Selling, General and Administrative Expenses | Variable Interest Entity, Primary Beneficiary [Member]      
Operating Loss Carryforwards [Line Items]      
Non-cash gain from deconsolidation $ 67