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Stock-based Compensation Expense Stock Based Compensation Expense (Details) - USD ($)
$ in Millions
3 Months Ended
Apr. 30, 2016
Apr. 30, 2015
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Stock-based compensation expense related to stock awards and ESPP purchases $ 56.9 $ 50.2
Tax benefit 0.0 (14.0)
Stock-based compensation expense related to stock awards and ESPP purchases, net of tax 56.9 36.2
Cost of subscription    
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Stock-based compensation expense related to stock awards and ESPP purchases 1.7 1.4
Cost of license and other revenue    
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Stock-based compensation expense related to stock awards and ESPP purchases 1.8 1.5
Marketing and sales    
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Stock-based compensation expense related to stock awards and ESPP purchases 23.6 21.7
Research and development    
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Stock-based compensation expense related to stock awards and ESPP purchases 20.9 17.6
General and administrative    
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Stock-based compensation expense related to stock awards and ESPP purchases $ 8.9 $ 8.0