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Share Plans (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Sep. 27, 2019
Sep. 28, 2018
Sep. 29, 2017
Share Based Compensation Arrangements:      
Maximum number of common shares to be issued as awards 77,000,000    
Shares available for issuance 18,000,000    
Share-based compensation expense $ 75 $ 95 $ 95
Tax benefit associated with share based compensation arrangements 16 20 31
Additional disclosures      
Total cash received by the Company related to the exercise of options $ 85 $ 100 $ 117
Restricted share awards      
Share Based Compensation Arrangements:      
Vesting period 4 years    
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested      
Outstanding shares at the beginning of the period 1,631,470    
Shares granted 692,899    
Shares vested (689,040)    
Shares forfeited (232,910)    
Outstanding shares at the end of the period 1,402,419 1,631,470  
Weighted-average grant-date fair value at the beginning of the period (in dollars per share) $ 75.39    
Shares granted, weighted-average grant-date fair value (in dollars per share) 77.77 $ 93.45 $ 67.72
Shares vested, weighted-average grant-date fair value (in dollars per share) 70.31    
Shares forfeited, weighted-average grant-date fair value (in dollars per share) 78.80    
Weighted-average grant-date fair value at the end of the period (in dollars per share) $ 78.36 $ 75.39  
Share Based Compensation Expenses Not Recognized      
Share-based compensation, share-based awards, total compensation expense not yet recognized $ 64    
Share-based compensation, share-based awards, total compensation expense not yet recognized, expected period for recognition 1 year 8 months 12 days    
Additional disclosures      
Total fair value of share awards, vested during the period $ 48 $ 50 $ 50
Performance share awards      
Share Based Compensation Arrangements:      
Vesting period 3 years    
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested      
Outstanding shares at the beginning of the period 688,903    
Shares granted 397,716    
Shares vested (448,652)    
Shares forfeited (52,844)    
Outstanding shares at the end of the period 585,123 688,903  
Weighted-average grant-date fair value at the beginning of the period (in dollars per share) $ 73.38    
Shares granted, weighted-average grant-date fair value (in dollars per share) 71.38 $ 92.96 $ 62.88
Shares vested, weighted-average grant-date fair value (in dollars per share) 65.84    
Shares forfeited, weighted-average grant-date fair value (in dollars per share) 74.87    
Weighted-average grant-date fair value at the end of the period (in dollars per share) $ 77.44 $ 73.38  
Share Based Compensation Expenses Not Recognized      
Share-based compensation, share-based awards, total compensation expense not yet recognized $ 16    
Share-based compensation, share-based awards, total compensation expense not yet recognized, expected period for recognition 1 year    
Additional disclosures      
Total fair value of share awards, vested during the period $ 30 $ 19 $ 15
Performance share awards | Minimum      
Share Based Compensation Expenses Not Recognized      
Pay-out of performance share award (as a percent) 0.00%    
Performance share awards | Maximum      
Share Based Compensation Expenses Not Recognized      
Pay-out of performance share award (as a percent) 200.00%    
Share options      
Share Based Compensation Arrangements:      
Vesting period 4 years    
Expiration period 10 years    
Share Based Compensation Expenses Not Recognized      
Share-based compensation, share-based awards, total compensation expense not yet recognized $ 30    
Share-based compensation, share-based awards, total compensation expense not yet recognized, expected period for recognition 1 year 8 months 12 days    
Share-based Compensation Arrangement by Share-based Payment Award, Options, Outstanding      
Outstanding share options at the beginning of the period 6,759,077    
Share options granted 1,608,300    
Share options exercised (1,546,377)    
Share options expired (19,099)    
Share options forfeited (456,958)    
Outstanding share options at the end of the period 6,344,943 6,759,077  
Share options outstanding, weighted-average exercise price at the beginning of the period (in dollars per share) $ 65.85    
Share options granted, weighted-average exercise price (in dollars per share) 76.91 $ 93.44 $ 66.76
Share options exercised, weighted-average exercise price (in dollars per share) 54.09    
Share options expired, weighted-average exercise price (in dollars per share) 85.80    
Share options forfeited, weighted-average exercise price (in dollars per share) 75.95    
Share options outstanding, weighted-average exercise price at the end of the period (in dollars per share) $ 70.72 65.85  
Share options vested and expected to vest at end of period 6,000,393    
Share options exercisable at end of period 2,855,129    
Share options vested and expected to vest at end of period, weighted-average exercise price (in dollars per share) $ 70.31    
Share options exercisable at end of period, weighted-average exercise price (in dollars per share) $ 62.01    
Share options outstanding at end of period, weighted-average remaining contractual term 7 years    
Share options vested and expected to vest at end of period, weighted-average remaining contractual term 7 years    
Share options exercisable at end of period, weighted-average remaining contractual term 5 years 7 months 6 days    
Share options outstanding at end of period, aggregate intrinsic value $ 140    
Share options vested and expected to vest at end of period, aggregate intrinsic value 135    
Share options exercisable at end of period, aggregate intrinsic value $ 88    
Share-based Compensation Arrangement by Share-based Payment Award, Fair Value Assumptions and Methodology      
Options granted, weighted-average grant-date fair value (in dollars per share) $ 13.40 $ 16.49 $ 12.80
Expected share price volatility (as a percent) 20.00% 20.00% 24.00%
Risk-free interest rate (as a percent) 3.00% 2.20% 1.90%
Expected annual dividend per share $ 1.76 $ 1.60 $ 1.48
Expected life of options (in years) 5 years 2 months 12 days 5 years 3 months 18 days 5 years 7 months 6 days
Additional disclosures      
Total intrinsic value of the Company's options exercised $ 58 $ 106 $ 130
Total cash received by the Company related to the exercise of options $ 85 $ 100 $ 117