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Financial Instruments - Effects of Derivative Instruments on Condensed Consolidated Statements of Operations (Detail) - USD ($) $ in Millions | 3 Months Ended | 12 Months Ended
--- | --- | ---
Jan. 31, 2020 | Oct. 31, 2019 | Jul. 31, 2019 | Apr. 30, 2019 | Jan. 31, 2019 | Oct. 31, 2018 | Jul. 31, 2018 | Apr. 30, 2018 | Jan. 31, 2020 | Jan. 31, 2019 | Jan. 31, 2018
Derivative Instruments, Gain (Loss) [Line Items] |  |  |  |  |  |  |  |  |  |  |
Total net revenue | $ 899.3 | $ 842.7 | $ 796.8 | $ 735.5 | $ 737.3 | $ 660.9 | $ 611.7 | $ 559.9 | $ 3,274.3 | $ 2,569.8 | $ 2,056.6
Marketing and sales |  |  |  |  |  |  |  |  | 1,310.3 | 1,183.9 | 1,087.3
Research and development |  |  |  |  |  |  |  |  | 851.1 | 725.0 | 755.5
General and administrative |  |  |  |  |  |  |  |  | 405.6 | 340.1 | 305.2
Designated as Hedging Instrument | Foreign Exchange Contracts |  |  |  |  |  |  |  |  |  |  |
Derivative Instruments, Gain (Loss) [Line Items] |  |  |  |  |  |  |  |  |  |  |
Amount of gain (loss) recognized in accumulated other comprehensive loss on derivatives (effective portion) |  |  |  |  |  |  |  |  | 3.0 |  |
Amount of gain (loss) recognized in accumulated other comprehensive loss on derivatives (effective portion) |  |  |  |  |  |  |  |  |  | 19.6 | (21.3)
Amount of gain (loss) reclassified from accumulated other comprehensive income into income |  |  |  |  |  |  |  |  | 9.6 |  |
Amount and location of gain (loss) reclassified from accumulated other comprehensive loss into income (loss) (effective portion) |  |  |  |  |  |  |  |  |  | (12.1) | 9.9
Designated as Hedging Instrument | Foreign Exchange Contracts | Subscription revenue |  |  |  |  |  |  |  |  |  |  |
Derivative Instruments, Gain (Loss) [Line Items] |  |  |  |  |  |  |  |  |  |  |
Amount of gain (loss) reclassified from accumulated other comprehensive income into income |  |  |  |  |  |  |  |  | 11.7 |  |
Designated as Hedging Instrument | Foreign Exchange Contracts | Maintenance revenue |  |  |  |  |  |  |  |  |  |  |
Derivative Instruments, Gain (Loss) [Line Items] |  |  |  |  |  |  |  |  |  |  |
Amount of gain (loss) reclassified from accumulated other comprehensive income into income |  |  |  |  |  |  |  |  | 5.9 |  |
Designated as Hedging Instrument | Foreign Exchange Contracts | Cost of subscription and maintenance revenue |  |  |  |  |  |  |  |  |  |  |
Derivative Instruments, Gain (Loss) [Line Items] |  |  |  |  |  |  |  |  |  |  |
Amount of gain (loss) reclassified from accumulated other comprehensive income into income |  |  |  |  |  |  |  |  | (0.9) |  |
Designated as Hedging Instrument | Foreign Exchange Contracts | Marketing and sales |  |  |  |  |  |  |  |  |  |  |
Derivative Instruments, Gain (Loss) [Line Items] |  |  |  |  |  |  |  |  |  |  |
Amount of gain (loss) reclassified from accumulated other comprehensive income into income |  |  |  |  |  |  |  |  | (4.3) |  |
Designated as Hedging Instrument | Foreign Exchange Contracts | Research and development |  |  |  |  |  |  |  |  |  |  |
Derivative Instruments, Gain (Loss) [Line Items] |  |  |  |  |  |  |  |  |  |  |
Amount of gain (loss) reclassified from accumulated other comprehensive income into income |  |  |  |  |  |  |  |  | (0.7) |  |
Designated as Hedging Instrument | Foreign Exchange Contracts | General and administrative |  |  |  |  |  |  |  |  |  |  |
Derivative Instruments, Gain (Loss) [Line Items] |  |  |  |  |  |  |  |  |  |  |
Amount of gain (loss) reclassified from accumulated other comprehensive income into income |  |  |  |  |  |  |  |  | (2.1) |  |
Designated as Hedging Instrument | Foreign Exchange Contracts | Net revenue |  |  |  |  |  |  |  |  |  |  |
Derivative Instruments, Gain (Loss) [Line Items] |  |  |  |  |  |  |  |  |  |  |
Amount of gain (loss) reclassified from accumulated other comprehensive income into income |  |  |  |  |  |  |  |  | 17.6 |  |
Amount and location of gain (loss) reclassified from accumulated other comprehensive loss into income (loss) (effective portion) |  |  |  |  |  |  |  |  |  | (8.5) | 8.0
Designated as Hedging Instrument | Foreign Exchange Contracts | Cost of other revenue |  |  |  |  |  |  |  |  |  |  |
Derivative Instruments, Gain (Loss) [Line Items] |  |  |  |  |  |  |  |  |  |  |
Amount of gain (loss) reclassified from accumulated other comprehensive income into income |  |  |  |  |  |  |  |  | (0.9) |  |
Amount and location of gain (loss) reclassified from accumulated other comprehensive loss into income (loss) (effective portion) |  |  |  |  |  |  |  |  |  | 0.0 | 0.0
Designated as Hedging Instrument | Foreign Exchange Contracts | Operating expenses |  |  |  |  |  |  |  |  |  |  |
Derivative Instruments, Gain (Loss) [Line Items] |  |  |  |  |  |  |  |  |  |  |
Amount of gain (loss) reclassified from accumulated other comprehensive income into income |  |  |  |  |  |  |  |  | (7.1) |  |
Amount and location of gain (loss) reclassified from accumulated other comprehensive loss into income (loss) (effective portion) |  |  |  |  |  |  |  |  |  | (3.6) | 1.9
Not Designated as Hedging Instrument | Foreign Exchange Contracts | Interest and other expense, net |  |  |  |  |  |  |  |  |  |  |
Derivative Instruments, Gain (Loss) [Line Items] |  |  |  |  |  |  |  |  |  |  |
Amount and location of gain (loss) recognized on derivatives in net income (loss) |  |  |  |  |  |  |  |  | 6.0 | 6.6 | (19.1)
Subscription |  |  |  |  |  |  |  |  |  |  |
Derivative Instruments, Gain (Loss) [Line Items] |  |  |  |  |  |  |  |  |  |  |
Total net revenue |  |  |  |  |  |  |  |  | 2,751.9 | 1,802.3 | 894.3
Maintenance |  |  |  |  |  |  |  |  |  |  |
Derivative Instruments, Gain (Loss) [Line Items] |  |  |  |  |  |  |  |  |  |  |
Total net revenue |  |  |  |  |  |  |  |  | 386.6 | 635.1 | 989.6
Subscription and Maintenance |  |  |  |  |  |  |  |  |  |  |
Derivative Instruments, Gain (Loss) [Line Items] |  |  |  |  |  |  |  |  |  |  |
Total net revenue |  |  |  |  |  |  |  |  | 3,138.5 | 2,437.4 | 1,883.9
Cost of revenue |  |  |  |  |  |  |  |  | $ 223.9 | $ 216.0 | $ 214.4

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