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Intangible Assets Including Goodwill (Details 4) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Mar. 31, 2016
Dec. 31, 2015
Intangible Assets Including Goodwill:    
Goodwill accumulated impairment losses $ 0 $ 0
Goodwill impairment losses 0 0
Changes in Goodwill Balances    
Beginning Balance 32,021 30,556
Goodwill Additions 1,915 2,590
Purchase Price Adjustments 4 (3)
Divestitures (17) (26)
Foreign Currency Translation and Other Adjustments 398 (1,096)
Ending Balance 34,322 32,021
Cognitive Solutions    
Changes in Goodwill Balances    
Beginning Balance 15,621 15,156
Goodwill Additions 1,723 1,020
Purchase Price Adjustments 1 (2)
Divestitures (12) (18)
Foreign Currency Translation and Other Adjustments 199 (535)
Ending Balance 17,533 15,621
Global Business Services    
Changes in Goodwill Balances    
Beginning Balance 4,396 4,555
Goodwill Additions 101 74
Purchase Price Adjustments 1 0
Divestitures (1) (1)
Foreign Currency Translation and Other Adjustments 72 (232)
Ending Balance 4,569 4,396
Technology Services & Cloud Platforms    
Changes in Goodwill Balances    
Beginning Balance 10,156 9,373
Goodwill Additions 91 1,087
Purchase Price Adjustments 1 (1)
Divestitures (5) (7)
Foreign Currency Translation and Other Adjustments 115 (296)
Ending Balance 10,358 10,156
Systems    
Changes in Goodwill Balances    
Beginning Balance 1,848 1,472
Goodwill Additions   410
Purchase Price Adjustments 1 0
Foreign Currency Translation and Other Adjustments 12 (33)
Ending Balance $ 1,861 $ 1,848