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Business and Summary of Significant Accounting Policies - Stock Based Compensation Expense (Details) | 12 Months Ended
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Jan. 31, 2020 USD ($) period | Jan. 31, 2019 USD ($) | Jan. 31, 2018 USD ($)
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |
Stock-based compensation expense related to stock awards and Employee Qualified Stock Purchase Plan (ESPP) purchases | $ 362,400,000 | $ 249,500,000 | $ 261,400,000
Tax benefit | (1,100,000) | (2,600,000) | (2,600,000)
Stock-based compensation expense related to stock awards and ESPP purchases, net | 361,300,000 | 246,900,000 | 258,800,000
Market capitalization level of peer group | $ 2,000,000,000.00 |  |
Number of exercise periods | period | 4 |  |
Term of exercise period | 6 months |  |
Term of offering period | 24 months |  |
Cash dividends paid | $ 0 | 0 | 0
Dividend yield | 0.00% |  |
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 Employee Qualified Stock Purchase Plan (ESPP) purchases | $ 13,800,000 | 13,200,000 | 11,900,000
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 Employee Qualified Stock Purchase Plan (ESPP) purchases | 5,800,000 | 4,300,000 | 4,000,000.0
Marketing and sales |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |
Stock-based compensation expense related to stock awards and Employee Qualified Stock Purchase Plan (ESPP) purchases | 149,000,000.0 | 109,400,000 | 107,300,000
Research and development |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |
Stock-based compensation expense related to stock awards and Employee Qualified Stock Purchase Plan (ESPP) purchases | 120,800,000 | 82,600,000 | 82,900,000
General and administrative |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |
Stock-based compensation expense related to stock awards and Employee Qualified Stock Purchase Plan (ESPP) purchases | $ 73,000,000.0 | $ 40,000,000.0 | $ 55,300,000

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