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Share-Based Payments (Details 3) - $ / shares
shares in Millions
12 Months Ended
Sep. 27, 2015
Sep. 28, 2014
Sep. 29, 2013
Sep. 30, 2012
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]        
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Number 24.3 22.3 19.2 20.0
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Weighted Average Exercise Price $ 40.45 $ 38.37 $ 36.90 $ 30.17
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Weighted Average Remaining Contractual Term 4 years 6 months 2 days      
Share-based Compensation Arrangement by Share-based Payment Award, Options, Vested and Expected to Vest, Exercisable, Number 11.9      
Share-based Compensation Arrangement by Share-based Payment Award, Options, Vested and Expected to Vest, Exercisable, Weighted Average Exercise Price $ 36.96      
Range of Exercise Prices Group 1 [Member]        
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]        
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range, Lower Range Limit 9.45      
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range, Upper Range Limit $ 18.49      
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Number 0.6      
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range, Outstanding Options, Weighted Average Exercise Price $ 9.53      
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range, Outstanding Options, Weighted Average Remaining Contractual Term 7 months 26 days      
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range, Number of Exercisable Options 0.6      
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range, Exercisable Options, Weighted Average Exercise Price $ 9.53      
Range of Exercise Prices Group 2 [Member]        
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]        
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range, Lower Range Limit 20.42      
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range, Upper Range Limit $ 28.50      
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Number 1.8      
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range, Outstanding Options, Weighted Average Exercise Price $ 20.43      
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range, Outstanding Options, Weighted Average Remaining Contractual Term 2 years 5 months 18 days      
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range, Number of Exercisable Options 1.5      
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range, Exercisable Options, Weighted Average Exercise Price $ 20.43      
Range of Exercise Prices Group 3 [Member]        
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]        
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range, Lower Range Limit 31.25      
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range, Upper Range Limit $ 38.50      
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Number 6.8      
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range, Outstanding Options, Weighted Average Exercise Price $ 35.12      
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range, Outstanding Options, Weighted Average Remaining Contractual Term 4 years 4 months 6 days      
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range, Number of Exercisable Options 3.9      
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range, Exercisable Options, Weighted Average Exercise Price $ 32.97      
Range of Exercise Prices Group 4 [Member]        
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]        
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range, Lower Range Limit 40.81      
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range, Upper Range Limit $ 46.28      
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Number 10.2      
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range, Outstanding Options, Weighted Average Exercise Price $ 43.73      
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range, Outstanding Options, Weighted Average Remaining Contractual Term 5 years 2 days      
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range, Number of Exercisable Options 3.9      
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range, Exercisable Options, Weighted Average Exercise Price $ 44.28      
Range of Exercise Prices Group 5 [Member]        
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range [Line Items]        
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range, Lower Range Limit 51.25      
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range, Upper Range Limit $ 59.15      
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding, Number 4.9      
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range, Outstanding Options, Weighted Average Exercise Price $ 52.37      
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range, Outstanding Options, Weighted Average Remaining Contractual Term 4 years 11 months 12 days      
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range, Number of Exercisable Options 2.0      
Share-based Compensation, Shares Authorized under Stock Option Plans, Exercise Price Range, Exercisable Options, Weighted Average Exercise Price $ 51.90