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Acquisitions - Summary of Fair Value of Assets Acquired and Liabilities Assumed by Major Class (Details) - USD ($) $ in Millions | 3 Months Ended | 9 Months Ended |
--- | --- | --- | ---
Oct. 31, 2021 | Oct. 31, 2021 | Jan. 31, 2021
Business Acquisition [Line Items] |  |  |
Goodwill | $ 3,579.2 | $ 3,579.2 | $ 2,706.5
Innovyze, Inc. |  |  |
Business Acquisition [Line Items] |  |  |
Goodwill | 764.4 | 764.4 |
Deferred revenue and long-term deferred revenue | (12.3) | (12.3) |
Long-term deferred income taxes | (42.4) | (42.4) |
Net tangible assets | 7.3 | 7.3 |
Total | 1,035.5 | 1,035.5 |
Goodwill, purchase accounting adjustments | 2.8 | 2.8 |
Upchain |  |  |
Business Acquisition [Line Items] |  |  |
Goodwill | 98.3 | 98.3 |
Deferred revenue and long-term deferred revenue | (2.6) | (2.6) |
Long-term deferred income taxes | (0.7) | (0.7) |
Net tangible assets | 0.2 | 0.2 |
Total | 123.6 | 123.6 |
Other Acquisition |  |  |
Business Acquisition [Line Items] |  |  |
Goodwill | 24.1 | 24.1 |
Deferred revenue and long-term deferred revenue | 0.0 | 0.0 |
Long-term deferred income taxes | 0.0 | 0.0 |
Net tangible assets |  |  |
Total | 33.5 | 33.5 |
Innovyze, Inc., Upchain And Other Acquisition |  |  |
Business Acquisition [Line Items] |  |  |
Goodwill | 886.8 | 886.8 |
Deferred revenue and long-term deferred revenue | (14.9) | (14.9) |
Long-term deferred income taxes | (43.1) | (43.1) |
Net tangible assets | 7.5 | 7.5 |
Total | 1,192.6 | 1,192.6 |
Developed technologies | Innovyze, Inc. |  |  |
Business Acquisition [Line Items] |  |  |
Finite-lived intangibles | 93.0 | 93.0 |
Developed technologies | Upchain |  |  |
Business Acquisition [Line Items] |  |  |
Finite-lived intangibles | 17.6 | 17.6 |
Developed technologies | Other Acquisition |  |  |
Business Acquisition [Line Items] |  |  |
Finite-lived intangibles | 9.4 | 9.4 |
Developed technologies | Innovyze, Inc., Upchain And Other Acquisition |  |  |
Business Acquisition [Line Items] |  |  |
Finite-lived intangibles | 120.0 | 120.0 |
Customer relationships | Innovyze, Inc. |  |  |
Business Acquisition [Line Items] |  |  |
Finite-lived intangibles | 221.0 | 221.0 |
Customer relationships | Upchain |  |  |
Business Acquisition [Line Items] |  |  |
Finite-lived intangibles | 10.4 | 10.4 |
Customer relationships | Other Acquisition |  |  |
Business Acquisition [Line Items] |  |  |
Finite-lived intangibles | 0.0 | 0.0 |
Customer relationships | Innovyze, Inc., Upchain And Other Acquisition |  |  |
Business Acquisition [Line Items] |  |  |
Finite-lived intangibles | 231.4 | 231.4 |
Trade name | Innovyze, Inc. |  |  |
Business Acquisition [Line Items] |  |  |
Finite-lived intangibles | 4.0 | 4.0 |
Trade name | Upchain |  |  |
Business Acquisition [Line Items] |  |  |
Finite-lived intangibles | 0.4 | 0.4 |
Trade name | Other Acquisition |  |  |
Business Acquisition [Line Items] |  |  |
Finite-lived intangibles | 0.0 | 0.0 |
Trade name | Innovyze, Inc., Upchain And Other Acquisition |  |  |
Business Acquisition [Line Items] |  |  |
Finite-lived intangibles | 4.4 | 4.4 |
Backlog | Innovyze, Inc. |  |  |
Business Acquisition [Line Items] |  |  |
Finite-lived intangibles | 0.5 | 0.5 |
Backlog | Upchain |  |  |
Business Acquisition [Line Items] |  |  |
Finite-lived intangibles | 0.0 | 0.0 |
Backlog | Other Acquisition |  |  |
Business Acquisition [Line Items] |  |  |
Finite-lived intangibles | 0.0 | 0.0 |
Backlog | Innovyze, Inc., Upchain And Other Acquisition |  |  |
Business Acquisition [Line Items] |  |  |
Finite-lived intangibles | $ 0.5 | $ 0.5 |

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