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Acquisitions/Divestitures (Details 1)
$ in Millions
1 Months Ended 3 Months Ended 12 Months Ended
Jan. 29, 2016
USD ($)
Nov. 06, 2015
USD ($)
Oct. 13, 2015
USD ($)
Jul. 03, 2013
USD ($)
Feb. 18, 2016
USD ($)
Dec. 31, 2015
USD ($)
Acquisition
Sep. 30, 2013
Acquisition
Jun. 30, 2013
Acquisition
Dec. 31, 2015
USD ($)
Acquisition
Dec. 31, 2014
USD ($)
Acquisition
Dec. 31, 2013
USD ($)
Acquisition
Acquisitions:                      
Businesses acquired, number (in entities) | Acquisition                 14 6 10
Businesses acquired, aggregate cost                 $ 3,555 $ 608 $ 3,219
Goodwill           $ 32,021     32,021 30,556 31,184
Cognitive Solutions                      
Acquisitions:                      
Goodwill           15,621     15,621 15,156 15,244
GBS                      
Acquisitions:                      
Goodwill           4,396     4,396 4,555 4,855
Technology Services & Cloud Platforms                      
Acquisitions:                      
Goodwill           10,156     10,156 9,373 9,485
Systems                      
Acquisitions:                      
Goodwill           1,848     1,848 $ 1,472 1,601
SoftLayer                      
Acquisitions:                      
Percentage of business acquired       100.00%              
Businesses acquired, cash consideration       $ 1,977              
Goodwill       $ 1,285             $ 1,285
Expected percent of goodwill deductible for tax purposes       0.00%              
Acquired intangible asset, weighted average useful life                     7 years
SoftLayer | Cognitive Solutions                      
Acquisitions:                      
Goodwill       $ 28              
SoftLayer | Technology Services & Cloud Platforms                      
Acquisitions:                      
Goodwill       $ 1,257              
Merge                      
Acquisitions:                      
Percentage of business acquired     100.00%                
Businesses acquired, cash consideration     $ 1,036                
Goodwill     $ 695     695     $ 695    
Expected percent of goodwill deductible for tax purposes     0.00%                
Acquired intangible asset, weighted average useful life                 7 years    
Merge | Cognitive Solutions                      
Acquisitions:                      
Goodwill     $ 502                
Merge | Technology Services & Cloud Platforms                      
Acquisitions:                      
Goodwill     $ 193                
Cleversafe                      
Acquisitions:                      
Percentage of business acquired   100.00%                  
Businesses acquired, cash consideration   $ 1,309                  
Goodwill   $ 1,000       1,000     $ 1,000    
Expected percent of goodwill deductible for tax purposes   0.00%                  
Acquired intangible asset, weighted average useful life                 6 years 11 months    
Cleversafe | Technology Services & Cloud Platforms                      
Acquisitions:                      
Goodwill   $ 590                  
Cleversafe | Systems                      
Acquisitions:                      
Goodwill   $ 410                  
The Weather Company | Subsequent event                      
Acquisitions:                      
Businesses acquired, cash consideration $ 2,000                    
Truven | Subsequent event | Estimated                      
Acquisitions:                      
Businesses acquired, cash consideration         $ 2,600            
Other Acquisitions                      
Acquisitions:                      
Percentage of business acquired                   100.00% 100.00%
Goodwill           895     $ 895 $ 442 $ 961
Expected percent of goodwill deductible for tax purposes                 7.00% 1.00% 2.00%
Acquired intangible asset, weighted average useful life                 6 years 5 months 6 years 10 months 6 years 7 months
Other Acquisitions | Cognitive Solutions                      
Acquisitions:                      
Businesses acquired, number (in entities) | Acquisition                 6 4 7
Goodwill           $ 518     $ 518 $ 311 $ 684
Other Acquisitions | GBS                      
Acquisitions:                      
Businesses acquired, number (in entities) | Acquisition           2          
Goodwill           $ 74     $ 74    
Other Acquisitions | Technology Services & Cloud Platforms                      
Acquisitions:                      
Businesses acquired, number (in entities) | Acquisition               1 4 2  
Goodwill           $ 303     $ 303 $ 131 264
Other Acquisitions | Systems                      
Acquisitions:                      
Businesses acquired, number (in entities) | Acquisition             1        
Goodwill                     $ 13
AlchemyAPI                      
Acquisitions:                      
Percentage of business acquired           100.00%     100.00%    
Blekko                      
Acquisitions:                      
Percentage of business acquired           100.00%     100.00%    
Explorys                      
Acquisitions:                      
Percentage of business acquired           100.00%     100.00%    
Phytel                      
Acquisitions:                      
Percentage of business acquired           100.00%     100.00%    
Compose                      
Acquisitions:                      
Percentage of business acquired           100.00%     100.00%    
StrongLoop                      
Acquisitions:                      
Percentage of business acquired           100.00%     100.00%    
Clearleap                      
Acquisitions:                      
Percentage of business acquired           100.00%     100.00%    
IRIS Analytics                      
Acquisitions:                      
Percentage of business acquired           100.00%     100.00%    
Blue Box                      
Acquisitions:                      
Percentage of business acquired           100.00%     100.00%    
Gravitant                      
Acquisitions:                      
Percentage of business acquired           100.00%     100.00%    
Meteorix                      
Acquisitions:                      
Percentage of business acquired           100.00%     100.00%