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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, 2022 USD ($) period | Jan. 31, 2021 USD ($) | Jan. 31, 2020 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 | $ 558,500,000 | $ 399,800,000 | $ 362,400,000
Tax benefit | (53,300,000) | (42,000,000.0) | (1,100,000)
Stock-based compensation expense related to stock awards and ESPP purchases, net | 505,200,000 | 357,800,000 | 361,300,000
Market capitalization level of peer group | $ 2,000,000,000 |  |
Number of exercise period | 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 | $ 25,400,000 | 17,200,000 | 13,800,000
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 | 9,100,000 | 6,400,000 | 5,800,000
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 | 233,500,000 | 178,400,000 | 149,000,000.0
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 | 220,500,000 | 145,000,000.0 | 120,800,000
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 | $ 70,000,000.0 | $ 52,800,000 | $ 73,000,000.0

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