Acquisitions - Summary of Fair Value of Assets Acquired and Liabilities Assumed by Major Class (Details) - USD ($) $ in Millions	Jan. 31, 2022	Jan. 31, 2021
Business Acquisition [Line Items]
Goodwill	$ 3,603.8	$ 2,706.5
Innovyze, Inc., Upchain And Other Acquisition
Business Acquisition [Line Items]
Goodwill	936.2
Deferred revenue and long-term deferred revenue	(18.4)
Long-term deferred income taxes	(45.6)
Net tangible assets (liabilities)	7.0
Total	1,258.3
Innovyze, Inc., Upchain And Other Acquisition | Developed technologies
Business Acquisition [Line Items]
Finite-lived intangibles	137.6
Innovyze, Inc., Upchain And Other Acquisition | Customer relationships
Business Acquisition [Line Items]
Finite-lived intangibles	236.1
Innovyze, Inc., Upchain And Other Acquisition | Trade name
Business Acquisition [Line Items]
Finite-lived intangibles	4.9
Innovyze, Inc., Upchain And Other Acquisition | Backlog
Business Acquisition [Line Items]
Finite-lived intangibles	0.5
Innovyze
Business Acquisition [Line Items]
Goodwill	764.4
Deferred revenue and long-term deferred revenue	(12.3)
Long-term deferred income taxes	(42.4)
Net tangible assets (liabilities)	7.3
Total	1,035.5
Innovyze | Developed technologies
Business Acquisition [Line Items]
Finite-lived intangibles	93.0
Innovyze | Customer relationships
Business Acquisition [Line Items]
Finite-lived intangibles	221.0
Innovyze | Trade name
Business Acquisition [Line Items]
Finite-lived intangibles	4.0
Innovyze | Backlog
Business Acquisition [Line Items]
Finite-lived intangibles	0.5
Upchain
Business Acquisition [Line Items]
Goodwill	98.3
Deferred revenue and long-term deferred revenue	(2.6)
Long-term deferred income taxes	(0.7)
Net tangible assets (liabilities)	0.2
Total	123.6
Upchain | Developed technologies
Business Acquisition [Line Items]
Finite-lived intangibles	17.6
Upchain | Customer relationships
Business Acquisition [Line Items]
Finite-lived intangibles	10.4
Upchain | Trade name
Business Acquisition [Line Items]
Finite-lived intangibles	0.4
Upchain | Backlog
Business Acquisition [Line Items]
Finite-lived intangibles	0.0
Other
Business Acquisition [Line Items]
Goodwill	73.5
Deferred revenue and long-term deferred revenue	(3.5)
Long-term deferred income taxes	(2.5)
Net tangible assets (liabilities)	(0.5)
Total	99.2
Other | Developed technologies
Business Acquisition [Line Items]
Finite-lived intangibles	27.0
Other | Customer relationships
Business Acquisition [Line Items]
Finite-lived intangibles	4.7
Other | Trade name
Business Acquisition [Line Items]
Finite-lived intangibles	0.5
Other | Backlog
Business Acquisition [Line Items]
Finite-lived intangibles	$ 0.0