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Share Plans (Details) - USD ($)
$ / shares in Units, shares in Millions, $ in Millions
3 Months Ended 6 Months Ended
Mar. 29, 2019
Dec. 28, 2018
Mar. 30, 2018
Mar. 29, 2019
Mar. 30, 2018
Share Based Compensation Arrangements:          
Share-based compensation expense $ 15   $ 23 $ 38 $ 51
Shares available for issuance 18.0     18.0  
Share Based Compensation Expenses Not Recognized          
Share-based compensation, share-based awards, total compensation expense not yet recognized $ 150     $ 150  
Share-based compensation, share-based awards, total compensation expense not yet recognized, expected period for recognition       2 years 1 month 6 days  
Share options          
Share Based Compensation Arrangements:          
Share options granted   1.6      
Options granted, grant-date fair value (in dollars per share)   $ 13.36      
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)   3.00%      
Expected annual dividend per share   $ 1.76      
Expected life of options (in years)   5 years 2 months 12 days      
Restricted share awards          
Share Based Compensation Arrangements:          
Shares granted   0.6      
Shares granted, grant-date fair value (in dollars per share)   $ 76.66      
Performance share awards          
Share Based Compensation Arrangements:          
Shares granted   0.2      
Shares granted, grant-date fair value (in dollars per share)   $ 76.66