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Stock-based Compensation (Details)
$ / shares in Units, shares in Millions, $ in Millions
12 Months Ended
Oct. 31, 2016
Sep. 02, 2016
USD ($)
Sep. 30, 2018
USD ($)
Plan
$ / shares
shares
Sep. 30, 2017
USD ($)
$ / shares
Sep. 30, 2016
USD ($)
$ / shares
Jan. 23, 2013
shares
Stock Based Compensation Activity [Line Items]            
Shares authorized for issuance under 2012 Plan (in shares) | shares           76
Shares available for issuance under the 2012 Plan (in shares) | shares     45      
Tyco share consolidation ratio   0.955     0.955  
Business Combination, Consideration Transferred, Fair Value of Acquiree Equity Awards   $ 224        
Fair Value of Acquiree Equity Awards not Earned as of Merger Date   $ 101        
Number of share-based compensation plans | Plan     4      
Compensation cost charged against income from share-based compensation plans     $ 98 $ 134 $ 160  
Total income tax benefit recognized for share-based compensation arrangements     25 53 56  
Employee Service Share-based Compensation, Tax Benefit from Exercise of Stock Options     3 4 11  
Proceeds from the exercise of stock options     $ 66 $ 157 $ 70  
Employee Stock Option            
Stock Based Compensation Activity [Line Items]            
Expiration period for stock options     10 years      
Weighted-average grant-date fair value of options granted | $ / shares     $ 7.04 $ 7.81 $ 13.14  
Total intrinsic value of options exercised     $ 38 $ 81 $ 39  
Proceeds from the exercise of stock options     66 157 70  
Total unrecognized compensation cost related to nonvested share-based compensation arrangements granted     $ 13      
Weighted average period over which unrecognized compensation cost is expected to be recognized     1 year 219 days      
Stock Appreciation Rights (SARs)            
Stock Based Compensation Activity [Line Items]            
Share Based Compensation, Award Modificaton, Conversion Ratio 1.085317          
Payments towards exercise of SARs granted     $ 3 $ 4 8  
Restricted (Nonvested) Stock            
Stock Based Compensation Activity [Line Items]            
Total unrecognized compensation cost related to nonvested share-based compensation arrangements granted     $ 80      
Weighted average period over which unrecognized compensation cost is expected to be recognized     1 year 292 days      
Minimum | Employee Stock Option            
Stock Based Compensation Activity [Line Items]            
Vesting period     2 years      
Maximum | Employee Stock Option            
Stock Based Compensation Activity [Line Items]            
Vesting period     3 years      
Maximum | Restricted (Nonvested) Stock            
Stock Based Compensation Activity [Line Items]            
Vesting period     3 years      
Selling, general and administrative            
Stock Based Compensation Activity [Line Items]            
Compensation cost charged against income from share-based compensation plans         121  
Restructuring Charges [Member]            
Stock Based Compensation Activity [Line Items]            
Compensation cost charged against income from share-based compensation plans         $ 39