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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 |

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