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Share Plans (Details 4) (USD $)
In Millions, except Share data, unless otherwise specified
12 Months Ended
Sep. 28, 2012
Restricted stock unit awards
Y
Sep. 30, 2011
Restricted stock unit awards
Sep. 24, 2010
Restricted stock unit awards
Sep. 28, 2012
Performance Share Awards
Sep. 30, 2011
Performance Share Awards
Sep. 24, 2010
Performance Share Awards
Sep. 28, 2012
Deferred stock Units
Sep. 25, 2009
Deferred stock Units
Y
Sep. 28, 2012
Deferred stock Units and dividend equivalent units
Sep. 30, 2011
Deferred stock Units and dividend equivalent units
Sep. 24, 2010
Deferred stock Units and dividend equivalent units
Share Plans:                      
Restricted share awards, vesting dependent on passage of time, vesting period (in years) 4                    
Restricted share awards, vesting dependent on performance, vesting period (in years) 3                    
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested                      
Non-vested share awards at beginning of period (in shares) 3,303,312     2,235,598              
Non-vested share awards granted (in shares) 1,464,374     2,622,919     1,100,000 1,100,000      
Non-vested share awards vested (in shares) (3,486,900)     (1,288,013)              
Non-vested share awards forfeited (in shares) (562,848)     (55,562)              
Non-vested share awards, Conversion of performance share units to restricted stock units (in shares) 3,514,942     (3,514,942)              
Pre-separation unvested share awards at end of period (in shares) 4,232,880                    
Post-separation unvested share awards at end of period (in shares) 5,164,283 3,303,312     2,235,598            
Non-vested shares, weighted-average grant-date fair value at beginning of period (in dollars per share) $ 34.78     $ 35.50              
Non-vested shares granted, weighted-average grant-date fair value (in dollars per share) $ 45.54 $ 37.90 $ 34.23 $ 48.86 $ 41.37 $ 40.27          
Non-vested shares vested, weighted-average grant-date fair value (in dollars per share) $ 37.26     $ 27.84              
Non-vested shares forfeited, weighted-average grant-date fair value (in dollars per share) $ 42.46     $ 43.67              
Non-vested shares, Conversion of performance share units to restricted units, weighted-average grant-date fair value (in dollars per share) $ 42.18     $ 42.18              
Pre-separation un-vested shares, weighted-average grant-date fair value at end of period (in dollars per share) $ 40.17                    
Post-separation un-vested shares, weighted-average grant-date fair value at end of period (in dollars per share) $ 20.24 $ 34.78   $ 0.00 $ 35.50            
Award vesting period (in years)               3      
Non-vested share awards shares earned (in shares) 2,000,000                    
Total fair value of awards vested during the period $ 90 $ 62 $ 54 $ 25         $ 1 $ 1 $ 1
Total unrecognized compensation cost related to non-vested awards $ 57                    
Weighted-average period for recognizing compensation cost related to non-vested options (in years) 2.2