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Acquisitions/Divestitures (Details 1)
$ in Millions
1 Months Ended 3 Months Ended 12 Months Ended
Nov. 06, 2015
USD ($)
Oct. 13, 2015
USD ($)
Jul. 03, 2013
USD ($)
Feb. 18, 2016
USD ($)
Jan. 29, 2016
USD ($)
Dec. 31, 2015
USD ($)
Acquisition
Sep. 30, 2014
Acquisition
Sep. 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                 $ 3,555.0 $ 608.0 $ 3,219.0
Goodwill           $ 32,021.0     32,021.0 30,556.0 31,184.0
Software                      
Acquisitions:                      
Goodwill           21,644.0     21,644.0 21,000.0 21,121.0
GBS                      
Acquisitions:                      
Goodwill           4,396.0     4,396.0 4,555.0 4,855.0
GTS                      
Acquisitions:                      
Goodwill           4,133.0     4,133.0 3,530.0 3,608.0
Systems Hardware                      
Acquisitions:                      
Goodwill           1,848.0     1,848.0 $ 1,472.0 1,601.0
SoftLayer                      
Acquisitions:                      
Percentage of business acquired     100.00%                
Businesses acquired, cash consideration     $ 1,977.0                
Goodwill     $ 1,285.0               $ 1,285.0
Expected percent of goodwill deductible for tax purposes     0.00%                
Acquired intangible asset, weighted average useful life                     7 years
SoftLayer | Software                      
Acquisitions:                      
Goodwill     $ 39.0                
SoftLayer | GTS                      
Acquisitions:                      
Goodwill     $ 1,246.0                
Merge                      
Acquisitions:                      
Percentage of business acquired   100.00%                  
Businesses acquired, cash consideration   $ 1,036.0                  
Goodwill           695.0     $ 695.0    
Expected percent of goodwill deductible for tax purposes   0.00%                  
Acquired intangible asset, weighted average useful life                 7 years    
Merge | Software                      
Acquisitions:                      
Goodwill   $ 695.0                  
Cleversafe                      
Acquisitions:                      
Percentage of business acquired 100.00%                    
Businesses acquired, cash consideration $ 1,309.0                    
Goodwill $ 1,000.0         1,000.0     $ 1,000.0    
Expected percent of goodwill deductible for tax purposes 0.00%                    
Acquired intangible asset, weighted average useful life                 6 years 11 months    
Cleversafe | GTS                      
Acquisitions:                      
Goodwill $ 590.0                    
Cleversafe | Systems Hardware                      
Acquisitions:                      
Goodwill $ 410.0                    
The Weather Company | Subsequent event                      
Acquisitions:                      
Businesses acquired, cash consideration         $ 2,000.0            
Truven | Subsequent event | Estimated                      
Acquisitions:                      
Businesses acquired, cash consideration       $ 2,600.0              
Other Acquisitions                      
Acquisitions:                      
Percentage of business acquired                   100.00% 100.00%
Goodwill           895.0     $ 895.0 $ 442.0 $ 961.0
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 | Software                      
Acquisitions:                      
Businesses acquired, number (in entities) | Acquisition                 8 5 8
Goodwill           $ 717.0     $ 717.0 $ 430.0 $ 948.0
Other Acquisitions | GBS                      
Acquisitions:                      
Businesses acquired, number (in entities) | Acquisition           2          
Goodwill           $ 74.0     $ 74.0    
Other Acquisitions | GTS                      
Acquisitions:                      
Businesses acquired, number (in entities) | Acquisition             1   2    
Goodwill           $ 104.0     $ 104.0 $ 11.0  
Other Acquisitions | Systems Hardware                      
Acquisitions:                      
Businesses acquired, number (in entities) | Acquisition               1      
Goodwill                     $ 13.0
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%