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Segment Reporting (Details) (USD $)
In Millions, unless otherwise specified
3 Months Ended 12 Months Ended
Mar. 31, 2012
Dec. 31, 2011
Sep. 30, 2011
Jun. 30, 2011
Mar. 31, 2011
Dec. 31, 2010
Sep. 30, 2010
Jun. 30, 2010
Mar. 31, 2012
Mar. 31, 2011
Mar. 31, 2010
Revenue:                      
License                 $ 877.8 $ 864.5 $ 758.4
Maintenance                 1,080.4 1,024.2 1,023.7
Professional services                 213.8 176.6 129.1
Total revenue 564.7 548.2 556.7 502.4 562.2 539.9 502.3 460.9 2,172.0 2,065.3 1,911.2
Direct and allocated indirect segment operating expenses:                 1,392.4 1,332.6 1,236.7
Segment operating income                 779.6 732.7 674.5
Unallocated operating expenses                 (235.7) (199.9) (168.4)
Other loss, net                 (13.9) (1.5) (1.9)
Earnings before income taxes                 530.0 531.3 504.2
Enterprise Service Management [Member]
                     
Revenue:                      
License                 543.3 550.9 462.2
Maintenance                 585.0 551.5 550.9
Professional services                 213.8 176.6 129.1
Total revenue                 1,342.1 1,279.0 1,142.2
Direct and allocated indirect segment operating expenses:                 1,059.8 998.8 902.2
Segment operating income                 282.3 280.2 240.0
Mainframe Service Management [Member]
                     
Revenue:                      
License                 334.5 313.6 296.2
Maintenance                 495.4 472.7 472.8
Total revenue                 829.9 786.3 769.0
Direct and allocated indirect segment operating expenses:                 332.6 333.8 334.5
Segment operating income                 $ 497.3 $ 452.5 $ 434.5