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Stock-based Compensation Expense Stock Based Compensation Expense (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Jul. 31, 2015
Jul. 31, 2014
Jul. 31, 2015
Jul. 31, 2014
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]        
Stock-based compensation expense related to stock awards and ESPP purchases $ 40.7 $ 39.8 $ 90.9 $ 73.4
Tax benefit (10.5) (10.4) (24.5) (19.6)
Stock-based compensation expense related to stock awards and ESPP purchases, net of tax 30.2 29.4 66.4 53.8
Cost of license and other revenue        
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]        
Allocated share-based compensation expense 1.2 1.1 2.7 2.0
Cost of subscription        
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]        
Allocated share-based compensation expense 1.2 1.0 2.6 1.8
Marketing and sales        
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]        
Allocated share-based compensation expense 17.3 17.6 39.0 31.6
Research and development        
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]        
Allocated share-based compensation expense 14.8 13.7 32.4 24.6
General and administrative        
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]        
Allocated share-based compensation expense $ 6.2 $ 6.4 $ 14.2 $ 13.4