Revenue Recognition - Additional Information (Details) $ in Millions	3 Months Ended		6 Months Ended
	Jul. 31, 2021 USD ($)	Jul. 31, 2020 USD ($)	Jul. 31, 2021 USD ($) category	Jul. 31, 2020 USD ($)
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction [Line Items]
Number of revenue categories | category			3
Contract with customer, liability, revenue recognized	$ 725.9	$ 641.9	$ 1,560.0	$ 1,430.0
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date [Axis]: 2021-08-01 | Period One
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction [Line Items]
Remaining performance obligation	$ 4,140.0		$ 4,140.0
Performance obligation, expected timing of satisfaction (in years)	3 years		3 years
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date [Axis]: 2021-08-01 | Period Two
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction [Line Items]
Remaining performance obligation	$ 2,850.0		$ 2,850.0
Performance obligation, expected timing of satisfaction (in years)	12 months		12 months
Remaining performance obligation percentage	69.00%		69.00%
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date [Axis]: 2022-08-01
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction [Line Items]
Remaining performance obligation	$ 1,290.0		$ 1,290.0
Performance obligation, expected timing of satisfaction (in years)
Remaining performance obligation percentage	31.00%		31.00%
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