Revenue Recognition - Additional Information (Details) $ in Millions	3 Months Ended
	Apr. 30, 2021 USD ($) category	Apr. 30, 2020 USD ($)
Revenue from Contract with Customer [Abstract]
Number of revenue categories | category	3
Contract with customer, liability, revenue recognized	$ 838.2	$ 787.2
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date [Axis]: 2021-05-01 | Period One
Revenue from Contract with Customer [Abstract]
Remaining performance obligation	$ 4,230.0
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction [Line Items]
Performance obligation, expected timing of satisfaction (in years)	3 years
Remaining performance obligation	$ 4,230.0
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date [Axis]: 2021-05-01 | Period Two
Revenue from Contract with Customer [Abstract]
Remaining performance obligation	$ 2,860.0
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction [Line Items]
Performance obligation, expected timing of satisfaction (in years)	12 months
Remaining performance obligation percentage	68.00%
Remaining performance obligation	$ 2,860.0
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date [Axis]: 2022-05-01
Revenue from Contract with Customer [Abstract]
Remaining performance obligation	$ 1,370.0
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction [Line Items]
Performance obligation, expected timing of satisfaction (in years)
Remaining performance obligation percentage	32.00%
Remaining performance obligation	$ 1,370.0