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Shareholders' Equity and Comprehensive Income (Accumulated Other Comprehensive Loss) (Details) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Sep. 27, 2013
Sep. 28, 2012
Sep. 30, 2011
Components of accumulated other comprehensive income (loss)      
Balance at the beginning of the period $ (966)    
Total other comprehensive loss, net of tax (21) (70) (125)
Balance at the end of the period (987) (966)  
Currency Translation Adjustments
     
Components of accumulated other comprehensive income (loss)      
Balance at the beginning of the period (419) 70 213
Total other comprehensive loss, net of tax (102) 93 (143)
Distribution of Tyco Flow Control and ADT   (582)  
Balance at the end of the period (521) (419) 70
Unrealized Gain (Loss) on Marketable Securities and Derivative Instruments
     
Components of accumulated other comprehensive income (loss)      
Balance at the beginning of the period 0 0 4
Total other comprehensive loss, net of tax 0 0 (4)
Distribution of Tyco Flow Control and ADT   0  
Balance at the end of the period 0 0 0
Retirement Plans
     
Components of accumulated other comprehensive income (loss)      
Balance at the beginning of the period (547) (506) (539)
Total other comprehensive loss, net of tax 81 (163) 33
Distribution of Tyco Flow Control and ADT   122  
Balance at the end of the period (466) (547) (506)
Accumulated Other Comprehensive Loss
     
Components of accumulated other comprehensive income (loss)      
Balance at the beginning of the period (966) (436) (322)
Total other comprehensive loss, net of tax (21) (70) (114)
Distribution of Tyco Flow Control and ADT   (460)  
Balance at the end of the period $ (987) $ (966) $ (436)