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Income Taxes (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Mar. 29, 2019
Mar. 30, 2018
Dec. 29, 2017
Mar. 29, 2019
Mar. 30, 2018
Income Taxes          
Income tax expense $ 91 $ 108   $ 169 $ 707
Income tax expense related to tax impacts of Tax Cuts and Jobs Act     $ 567   567
Income tax expense associated with certain legal entity restructurings and intercompany transactions 15     15  
Income tax benefit resulting from lapses of statutes of limitations 12 $ 17      
Net income tax benefit related to certain legal entity restructurings         $ 61
U.S. federal corporate income tax rate     21.00%    
Income tax benefit related to the reduction in the valuation allowance recorded against certain U.S. federal tax credit carryforwards     $ 34    
Unrecognized income tax benefits, approximate amount that could be resolved in next twelve months $ 130     $ 130  
Liabilities sharing percent, entity       31.00%  
Liabilities sharing percent, Tyco International       27.00%  
Liabilities sharing percent, Covidien       42.00%