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Commitments and Contingencies (Details) - USD ($)
$ in Millions
9 Months Ended
Jun. 29, 2018
Sep. 29, 2017
Loss Contingencies    
Accrual environmental loss contingency, estimate of probable loss $ 18  
Guarantees and Product Warranties    
Accrued warranty claims $ 46 $ 50
Liabilities sharing percent, entity 31.00%  
Liabilities sharing percent, Tyco International 27.00%  
Liabilities sharing percent, Covidien 42.00%  
Minimum    
Loss Contingencies    
Accrual environmental loss contingency, estimate of probable loss $ 15  
Maximum    
Loss Contingencies    
Accrual environmental loss contingency, estimate of probable loss 43  
Outstanding Letters of Credit, Letters of Guarantee, and Surety Bonds    
Guarantees and Product Warranties    
Guarantor obligations, maximum exposure $ 283