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Stock-based Compensation Expense (Stock Based Compensation Expense) (Details) - USD ($) $ in Millions | 3 Months Ended | 9 Months Ended
--- | --- | ---
Oct. 31, 2019 | Oct. 31, 2018 | Oct. 31, 2019 | Oct. 31, 2018
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |  |
Stock-based compensation expense related to stock awards and ESPP purchases | $ 94.0 | $ 64.2 | $ 257.4 | $ 175.5
Tax benefit | (0.5) | (1.6) | (0.8) | (2.2)
Stock-based compensation expense related to stock awards and ESPP purchases, net of tax | 93.5 | 62.6 | 256.6 | 173.3
Cost of subscription and maintenance revenue |  |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |  |
Stock-based compensation expense related to stock awards and ESPP purchases | 3.1 | 3.6 | 10.1 | 9.4
Cost of 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 | 1.6 | 1.3 | 4.3 | 3.0
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 | 38.7 | 27.8 | 107.2 | 77.7
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 | 30.8 | 20.6 | 88.3 | 57.1
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 | $ 19.8 | $ 10.9 | $ 47.5 | $ 28.3

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