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Segments: (Details 1) (USD $)
In Millions, unless otherwise specified
3 Months Ended 6 Months Ended
Jun. 30, 2014
Jun. 30, 2013
Jun. 30, 2014
Jun. 30, 2013
Segment Information        
Revenue $ 24,364 $ 24,924 $ 46,848 $ 48,332
Pre-tax income 5,171 4,144 8,151 7,750
Global Technology Services
       
Segment Information        
Revenue 9,414 9,536 18,744 19,140
Global Business Services
       
Segment Information        
Revenue 4,534 4,606 9,017 9,091
Software
       
Segment Information        
Revenue 6,488 6,423 12,149 11,995
Systems and Technology
       
Segment Information        
Revenue 3,331 3,758 5,722 6,864
Global Financing
       
Segment Information        
Revenue 504 487 1,016 985
Total Segments
       
Segment Information        
Revenue 24,271 24,809 46,648 48,075
Business Segments
       
Segment Information        
Revenue 26,390 26,737 50,866 51,922
Pre-tax income 5,983 4,989 9,812 9,425
Business Segments | Global Technology Services
       
Segment Information        
Revenue 9,661 9,828 19,232 19,680
Pre-tax income 1,850 1,514 3,196 3,099
Revenue year-to-year change (as a percent) (1.70%)   (2.30%)  
Pre-tax income year-to-year change (as a percent) 22.20%   3.10%  
Pre-tax income margin (as a percent) 19.20% 15.40% 16.60% 15.70%
Business Segments | Global Business Services
       
Segment Information        
Revenue 4,674 4,795 9,298 9,459
Pre-tax income 832 623 1,461 1,326
Revenue year-to-year change (as a percent) (2.50%)   (1.70%)  
Pre-tax income year-to-year change (as a percent) 33.70%   10.20%  
Pre-tax income margin (as a percent) 17.80% 13.00% 15.70% 14.00%
Business Segments | Software
       
Segment Information        
Revenue 7,345 7,161 13,939 13,563
Pre-tax income 2,683 2,443 4,601 4,457
Revenue year-to-year change (as a percent) 2.60%   2.80%  
Pre-tax income year-to-year change (as a percent) 9.80%   3.20%  
Pre-tax income margin (as a percent) 36.50% 34.10% 33.00% 32.90%
Business Segments | Systems and Technology
       
Segment Information        
Revenue 3,521 3,893 6,080 7,118
Pre-tax income 25 (141) (635) (546)
Revenue year-to-year change (as a percent) (9.50%)   (14.60%)  
Pre-tax income year-to-year change (as a percent) 117.90%   16.30%  
Pre-tax income margin (as a percent) 0.70% (3.60%) (10.40%) (7.70%)
Business Segments | Global Financing
       
Segment Information        
Revenue 1,189 1,061 2,318 2,101
Pre-tax income 593 550 1,188 1,088
Revenue year-to-year change (as a percent) 12.00%   10.30%  
Pre-tax income year-to-year change (as a percent) 7.70%   9.20%  
Pre-tax income margin (as a percent) 49.80% 51.80% 51.30% 51.80%
Business Segments | Total Segments
       
Segment Information        
Revenue 26,390 26,737 50,866 51,922
Pre-tax income 5,983 4,989 9,812 9,425
Revenue year-to-year change (as a percent) (1.30%)   (2.00%)  
Pre-tax income year-to-year change (as a percent) 19.90%   4.10%  
Pre-tax income margin (as a percent) 22.70% 18.70% 19.30% 18.20%
Internal transactions
       
Segment Information        
Revenue (2,119) (1,928) (4,218) (3,847)
Pre-tax income (507) (379) (1,031) (718)
Internal transactions | Global Technology Services
       
Segment Information        
Revenue (247) (292) (488) (540)
Internal transactions | Global Business Services
       
Segment Information        
Revenue (140) (188) (281) (368)
Internal transactions | Software
       
Segment Information        
Revenue (857) (738) (1,789) (1,569)
Internal transactions | Systems and Technology
       
Segment Information        
Revenue (190) (135) (358) (255)
Internal transactions | Global Financing
       
Segment Information        
Revenue (685) (575) (1,303) (1,116)
Internal transactions | Total Segments
       
Segment Information        
Revenue $ (2,119) $ (1,928) $ (4,218) $ (3,847)