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Segments: (Details) (USD $)
In Millions, unless otherwise specified
3 Months Ended
Mar. 31, 2013
Mar. 31, 2012
Segment Information    
Pre-tax income $ 3,606 $ 3,836 [1]
Total segments
   
Segment Information    
External revenue 23,266 24,511
Internal revenue 1,919 1,951
Total revenue reportable segments 25,185 26,462
Pre-tax income 4,435 4,434
Revenue year-to-year change (as a percent) (4.80%)  
Pre-tax income year-to-year change (as a percent) 0.00%  
Pre-tax income margin (as a percent) 17.60% 16.80%
Global Technology Services
   
Segment Information    
External revenue 9,605 10,035
Internal revenue 248 293
Total revenue reportable segments 9,852 10,328
Pre-tax income 1,585 1,480
Revenue year-to-year change (as a percent) (4.60%)  
Pre-tax income year-to-year change (as a percent) 7.10%  
Pre-tax income margin (as a percent) 16.10% 14.30%
Global Business Services
   
Segment Information    
External revenue 4,484 4,637
Internal revenue 180 182
Total revenue reportable segments 4,664 4,820
Pre-tax income 703 601
Revenue year-to-year change (as a percent) (3.20%)  
Pre-tax income year-to-year change (as a percent) 17.00%  
Pre-tax income margin (as a percent) 15.10% 12.50%
Software
   
Segment Information    
External revenue 5,572 5,600
Internal revenue 831 840
Total revenue reportable segments 6,403 6,439
Pre-tax income 2,014 1,945
Revenue year-to-year change (as a percent) (0.60%)  
Pre-tax income year-to-year change (as a percent) 3.50%  
Pre-tax income margin (as a percent) 31.50% 30.20%
Systems and Technology
   
Segment Information    
External revenue 3,106 3,749
Internal revenue 120 151
Total revenue reportable segments 3,226 3,900
Pre-tax income (405) (105)
Revenue year-to-year change (as a percent) (17.30%)  
Pre-tax income year-to-year change (as a percent) (286.70%)  
Pre-tax income margin (as a percent) (12.50%) (2.70%)
Global Financing
   
Segment Information    
External revenue 499 490
Internal revenue 541 485
Total revenue reportable segments 1,040 975
Pre-tax income $ 538 $ 512
Revenue year-to-year change (as a percent) 6.70%  
Pre-tax income year-to-year change (as a percent) 5.00%  
Pre-tax income margin (as a percent) 51.80% 52.60%
[1] Amounts may not add due to rounding.