Financial Instruments - Effects of Derivative Instruments on Condensed Consolidated Statements of Operations (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 31, 2022	Jan. 31, 2021	Jan. 31, 2020
Derivative Instruments, Gain (Loss) [Line Items]
Total net revenue	$ 4,386.4	$ 3,790.4	$ 3,274.3
Marketing and sales	1,623.1	1,440.3	1,310.3
Research and development	1,114.8	932.5	851.1
General and administrative	571.7	413.9	405.6
Interest and other expense, net	(52.9)	(82.4)	(48.2)
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	(17.1)	4.4	9.6
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	(10.7)	(0.4)
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	(1.2)	0.1
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	(0.5)	0.6
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)	2.4
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	(1.2)	0.5
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)	1.2
Designated as hedging instrument | Foreign Exchange Contracts | Interest and other expense, net
Derivative Instruments, Gain (Loss) [Line Items]
Amount of (loss) gain reclassified from accumulated other comprehensive income into income	0.1	0.0	0.0
Subscription
Derivative Instruments, Gain (Loss) [Line Items]
Total net revenue	4,156.4	3,478.9	2,751.9
Maintenance
Derivative Instruments, Gain (Loss) [Line Items]
Total net revenue	76.3	183.3	386.6
Subscription and Maintenance
Derivative Instruments, Gain (Loss) [Line Items]
Total net revenue	4,232.7	3,662.2	3,138.5
Cost of revenue	$ 299.1	$ 242.1	$ 223.9