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Acquisitions/Divestitures (Narratives) (Details 1)
$ in Millions
3 Months Ended
Apr. 08, 2016
USD ($)
Jan. 29, 2016
USD ($)
Mar. 31, 2016
USD ($)
Acquisition
Dec. 31, 2015
USD ($)
Dec. 31, 2014
USD ($)
Acquisitions:          
Businesses acquired, number (in entities) | Acquisition     6    
Businesses acquired, aggregate cost     $ 2,642    
Goodwill     34,322 $ 32,021 $ 30,556
Technology Services & Cloud Platforms          
Acquisitions:          
Goodwill     10,358 10,156 9,373
Global Business Services          
Acquisitions:          
Goodwill     4,569 4,396 4,555
Cognitive Solutions          
Acquisitions:          
Goodwill     $ 17,533 $ 15,621 $ 15,156
Other Acquisitions          
Acquisitions:          
Acquired intangible asset, weighted average useful life     6 years 2 months    
Expected percent of goodwill deductible for tax purposes     40.00%    
Goodwill     $ 192    
Other Acquisitions | Technology Services & Cloud Platforms          
Acquisitions:          
Businesses acquired, number (in entities) | Acquisition     2    
Goodwill     $ 91    
Other Acquisitions | Global Business Services          
Acquisitions:          
Businesses acquired, number (in entities) | Acquisition     3    
Goodwill     $ 101    
The Weather Company          
Acquisitions:          
Acquired intangible asset, weighted average useful life     6 years 11 months    
Expected percent of goodwill deductible for tax purposes   0.00%      
Goodwill     $ 1,723    
Businesses acquired, cash consideration   $ 2,284      
The Weather Company | Cognitive Solutions          
Acquisitions:          
Goodwill   $ 1,723      
Truven Health Analytics | Subsequent event          
Acquisitions:          
Businesses acquired, cash consideration $ 2,600