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Financial Instruments - Effects of Derivative Instruments on Condensed Consolidated Statements of Operations (Details) - USD ($) $ in Millions | 3 Months Ended | 12 Months Ended
--- | --- | ---
Jan. 31, 2021 | Oct. 31, 2020 | Jul. 31, 2020 | Apr. 30, 2020 | Jan. 31, 2020 | Oct. 31, 2019 | Jul. 31, 2019 | Apr. 30, 2019 | Jan. 31, 2021 | Jan. 31, 2020 | Jan. 31, 2019
Derivative Instruments, Gain (Loss) [Line Items] |  |  |  |  |  |  |  |  |  |  |
Total net revenue | $ 1,039.2 | $ 952.4 | $ 913.1 | $ 885.7 | $ 899.3 | $ 842.7 | $ 796.8 | $ 735.5 | $ 3,790.4 | $ 3,274.3 | $ 2,569.8
Marketing and sales |  |  |  |  |  |  |  |  | 1,440.3 | 1,310.3 | 1,183.9
Research and development |  |  |  |  |  |  |  |  | 932.5 | 851.1 | 725.0
General and administrative |  |  |  |  |  |  |  |  | 413.9 | 405.6 | 340.1
Designated as hedging instrument | Foreign Exchange Contracts |  |  |  |  |  |  |  |  |  |  |
Derivative Instruments, Gain (Loss) [Line Items] |  |  |  |  |  |  |  |  |  |  |
Amount of (loss) gain reclassified from accumulated other comprehensive income into income |  |  |  |  |  |  |  |  | 4.4 | 9.6 | (12.1)
Designated as hedging instrument | Foreign Exchange Contracts | Subscription revenue |  |  |  |  |  |  |  |  |  |  |
Derivative Instruments, Gain (Loss) [Line Items] |  |  |  |  |  |  |  |  |  |  |
Amount of (loss) gain reclassified from accumulated other comprehensive income into income |  |  |  |  |  |  |  |  | (0.4) | 11.7 |
Designated as hedging instrument | Foreign Exchange Contracts | Maintenance revenue |  |  |  |  |  |  |  |  |  |  |
Derivative Instruments, Gain (Loss) [Line Items] |  |  |  |  |  |  |  |  |  |  |
Amount of (loss) gain reclassified from accumulated other comprehensive income into income |  |  |  |  |  |  |  |  | 0.1 | 5.9 |
Designated as hedging instrument | Foreign Exchange Contracts | Cost of subscription and maintenance revenue |  |  |  |  |  |  |  |  |  |  |
Derivative Instruments, Gain (Loss) [Line Items] |  |  |  |  |  |  |  |  |  |  |
Amount of (loss) gain reclassified from accumulated other comprehensive income into income |  |  |  |  |  |  |  |  | 0.6 | (0.9) |
Designated as hedging instrument | Foreign Exchange Contracts | Marketing and sales |  |  |  |  |  |  |  |  |  |  |
Derivative Instruments, Gain (Loss) [Line Items] |  |  |  |  |  |  |  |  |  |  |
Amount of (loss) gain reclassified from accumulated other comprehensive income into income |  |  |  |  |  |  |  |  | 2.4 | (4.3) |
Designated as hedging instrument | Foreign Exchange Contracts | Research and development |  |  |  |  |  |  |  |  |  |  |
Derivative Instruments, Gain (Loss) [Line Items] |  |  |  |  |  |  |  |  |  |  |
Amount of (loss) gain reclassified from accumulated other comprehensive income into income |  |  |  |  |  |  |  |  | 0.5 | (0.7) |
Designated as hedging instrument | Foreign Exchange Contracts | General and administrative |  |  |  |  |  |  |  |  |  |  |
Derivative Instruments, Gain (Loss) [Line Items] |  |  |  |  |  |  |  |  |  |  |
Amount of (loss) gain reclassified from accumulated other comprehensive income into income |  |  |  |  |  |  |  |  | 1.2 | (2.1) |
Subscription |  |  |  |  |  |  |  |  |  |  |
Derivative Instruments, Gain (Loss) [Line Items] |  |  |  |  |  |  |  |  |  |  |
Total net revenue |  |  |  |  |  |  |  |  | 3,478.9 | 2,751.9 | 1,802.3
Maintenance |  |  |  |  |  |  |  |  |  |  |
Derivative Instruments, Gain (Loss) [Line Items] |  |  |  |  |  |  |  |  |  |  |
Total net revenue |  |  |  |  |  |  |  |  | 183.3 | 386.6 | 635.1
Subscription and Maintenance |  |  |  |  |  |  |  |  |  |  |
Derivative Instruments, Gain (Loss) [Line Items] |  |  |  |  |  |  |  |  |  |  |
Total net revenue |  |  |  |  |  |  |  |  | 3,662.2 | 3,138.5 | 2,437.4
Cost of revenue |  |  |  |  |  |  |  |  | $ 242.1 | $ 223.9 | $ 216.0

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