Segments - Concerning the Operations Of Reportable Segments (Details) (USD $)
In Millions, unless otherwise specified
 3 Months Ended 12 Months Ended
Jan. 31, 2014
Oct. 31, 2013
Jul. 31, 2013
Apr. 30, 2013
Jan. 31, 2013
Oct. 31, 2012
Jul. 31, 2012
Apr. 30, 2012
Jan. 31, 2014
Jan. 31, 2013
Jan. 31, 2012
Segment Reporting Information [Line Items]                      
Net revenue $ 586.6 $ 555.2 $ 561.7 $ 570.4 $ 606.9 $ 548.0 $ 568.7 $ 588.6 $ 2,273.9 $ 2,312.2 $ 2,215.6
Gross profit 514.7 488.1 493.9 502.9 544.9 490.1 508.9 529.8 1,999.6 2,073.7 1,986.5
Depreciation and Amortization                 128.9 127.8 115.5
Platform Solutions and Emerging Business
                      
Segment Reporting Information [Line Items]                      
Net revenue                 789.2 [1] 843.0 [1] 833.1 [1]
Gross profit                 716.8 [1] 788.8 [1] 788.0 [1]
Depreciation and Amortization                 5.5 1.8 1.8
Architecture, Engineering and Construction
                      
Segment Reporting Information [Line Items]                      
Net revenue                 730.6 [1] 701.1 [1] 626.4 [1]
Gross profit                 663.8 [1] 642.0 [1] 569.7 [1]
Depreciation and Amortization                 0.2 0.2 0.7
Manufacturing
                      
Segment Reporting Information [Line Items]                      
Net revenue                 579.4 573.8 540.3
Gross profit                 531.5 531.3 496.1
Depreciation and Amortization                 0.9 0.5 1.7
Media and Entertainment
                      
Segment Reporting Information [Line Items]                      
Net revenue                 174.7 [1] 194.3 [1] 215.8 [1]
Gross profit                 137.8 156.5 174.6
Depreciation and Amortization                 0.2 0.4 0.5
Unallocated
                      
Segment Reporting Information [Line Items]                      
Gross profit                 (50.3) [2] (44.9) [2] (41.9) [2]
Depreciation and Amortization                 $ 122.1 $ 124.9 $ 110.8
[1] Prior period segment revenue amounts have been updated to conform with the current period's presentation.
[2] Unallocated amounts primarily relate to corporate expenses and other costs and expenses that are managed outside the reportable segments, including stock-based compensation expense.