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Share Plans (Details 3) (USD $)
In Millions, except Share data, unless otherwise specified
12 Months Ended
Sep. 27, 2013
Sep. 28, 2012
Sep. 30, 2011
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Weighted-average pre-conversion grant-date fair value (in dollars per share) $ 7.21 $ 12.56 $ 9.22
Total intrinsic value of options exercised $ 73 $ 85 $ 84
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding      
Outstanding share options at beginning of period (in shares) 21,670,340    
Share options granted (in shares) 4,214,430    
Share options exercised (in shares) (7,306,955)    
Share options expired (in shares) (640,895)    
Share options forfeited (in shares) (137,731)    
Pre-separation outstanding share options at end of period (in shares) 17,799,189    
Post-separation outstanding share options at end of period (in shares)   21,670,340  
Post-separation share options vested and unvested expected to vest at end of period (in shares) 16,924,966    
Post-separation share options exercisable at end of period (in shares) 9,190,538    
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Weighted Average Exercise Price [Abstract]      
Share options outstanding, weighted-average exercise price at beginning of period (in dollars per share) $ 20.89    
Share options granted, weighted-average exercise price (in dollars per share) $ 27.27    
Share options exercised, weighted-average exercise price (in dollars per share) $ 20.90    
Share options expired, weighted-average exercise price (in dollars per share) $ 21.69    
Share options forfeited, weighted-average exercise price (in dollars per share) $ 23.98    
Pre-separation share options outstanding, weighted-average exercise price at end of period (in dollars per share) $ 22.34    
Post-separation share options outstanding, weighted-average exercise price at end of period (in dollars per share)   $ 20.89  
Post-separation share options vested and unvested expected to vest at end of period, weighted-average exercise price (in dollars per share) $ 22.19    
Post-separation share options exercisable at end of period, weighted-average exercise price (in dollars per share) $ 21.20    
Share-based Compensation Arrangement by Share-based Payment Award, Options, Additional Disclosures [Abstract]      
Pre-separation share options outstanding, weighted-average remaining contractual term 6 years 2 months 12 days    
Post-separation share options vested and unvested expected to vest, weighted-average remaining contractual term 6 years 1 month 2 days    
Post-separation share options exercisable at end of period, weighted-average remaining contractual term 4 years 3 months 22 days    
Pre-separation share options outstanding, aggregate intrinsic value 225    
Post-separation share options vested and unvested expected to vest, aggregate intrinsic value 216    
Post-separation share options exercisable at end of period, aggregate intrinsic value 126    
Share Options
     
Share-based Compensation Arrangement by Share-based Payment Award, Options, Additional Disclosures [Abstract]      
Total unrecognized compensation cost related to non-vested awards $ 32    
Weighted-average period for recognizing compensation cost related to non-vested options 2 years 4 months 24 days    
Tyco Employee Stock Purchase Plan
     
Share-based Compensation Arrangement by Share-based Payment Award, Options, Additional Disclosures [Abstract]      
Shares available for future grant 3,000,000