Revenue Recognition - Additional Information (Details) $ in Millions	3 Months Ended		9 Months Ended
	Oct. 31, 2021 USD ($)	Oct. 31, 2020 USD ($)	Oct. 31, 2021 USD ($) category	Oct. 31, 2020 USD ($)
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction [Line Items]
Number of revenue categories | category			3
Contract with customer, liability, revenue recognized	$ 568.9	$ 481.9	$ 2,130.0	$ 1,910.0
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date [Axis]: 2021-11-01 | Period One
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction [Line Items]
Remaining performance obligation	$ 4,230.0		$ 4,230.0
Performance obligation, expected timing of satisfaction (in years)	3 years		3 years
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date [Axis]: 2021-11-01 | Period Two
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction [Line Items]
Remaining performance obligation	$ 2,880.0		$ 2,880.0
Performance obligation, expected timing of satisfaction (in years)	12 months		12 months
Remaining performance obligation percentage	68.00%		68.00%
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date [Axis]: 2022-11-01
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction [Line Items]
Remaining performance obligation	$ 1,350.0		$ 1,350.0
Performance obligation, expected timing of satisfaction (in years)
Remaining performance obligation percentage	32.00%		32.00%
Minimum
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction [Line Items]
Subscription payment terms (in days)			30 days
EBA payment terms (in days)			30 days
Maximum
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction [Line Items]
Subscription payment terms (in days)			45 days
EBA payment terms (in days)			60 days