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Share Plans (Details) - USD ($)
$ / shares in Units, shares in Millions, $ in Millions
3 Months Ended 9 Months Ended
Jun. 29, 2018
Dec. 29, 2017
Jun. 30, 2017
Jun. 29, 2018
Jun. 30, 2017
Share Based Compensation Arrangements:          
Share-based compensation expense $ 22   $ 26 $ 74 $ 73
Shares available for issuance 20.0     20.0  
Share Based Compensation Expenses Not Recognized          
Share-based compensation, share-based awards, total compensation expense not yet recognized $ 153     $ 153  
Share-based compensation, share-based awards, total compensation expense not yet recognized, expected period for recognition 1 year 9 months 18 days        
Share options          
Share Based Compensation Arrangements:          
Share options granted   1.4      
Options granted, weighted-average grant-date fair value (in dollars per share)   $ 16.47      
Share-based Compensation Arrangement by Share-based Payment Award, Fair Value Assumptions and Methodology          
Expected share price volatility (as a percent)   20.00%      
Risk free interest rate (as a percent)   2.20%      
Expected annual dividend per share   $ 1.60      
Expected life of options (in years)   5 years 3 months 18 days      
Restricted share awards          
Share Based Compensation Arrangements:          
Shares granted   0.5      
Shares granted, weighted-average grant-date fair value (in dollars per share)   $ 93.36      
Performance share awards          
Share Based Compensation Arrangements:          
Shares granted   0.2      
Shares granted, weighted-average grant-date fair value (in dollars per share)   $ 93.36