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Acquisitions - Summary of Fair Value of Assets Acquired and Liabilities Assumed by Major Class (Detail) - USD ($) $ in Millions | Jan. 31, 2016 | Jan. 31, 2015 | May. 29, 2014 | Feb. 06, 2014 | Jan. 31, 2014
--- | --- | --- | --- | --- | ---
Business Acquisition [Line Items] |  |  |  |  |
Goodwill | $ 1,535.0 | $ 1,456.2 |  |  | $ 1,009.9
netfabb |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |
Goodwill | 32.8 |  |  |  |
Deferred Revenue | (1.0) |  |  |  |
Deferred tax (liability) asset | (3.9) |  |  |  |
Net tangible assets | 0.4 |  |  |  |
Total | 42.5 |  |  |  |
netfabb | Developed technologies |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |
Intangible assets | 6.6 |  |  |  |
netfabb | Customer relationships |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |
Intangible assets | 6.2 |  |  |  |
netfabb | Trade name |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |
Intangible assets | 1.4 |  |  |  |
Other |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |
Goodwill | 64.5 | 180.6 |  |  |
Deferred Revenue | (0.7) | (0.4) |  |  |
Deferred tax (liability) asset | (2.4) | (2.1) |  |  |
Net tangible assets | 0.5 | 1.3 |  |  |
Total | 106.8 | 234.5 |  |  |
Other | Developed technologies |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |
Intangible assets | 27.3 | 39.0 |  |  |
Other | Customer relationships |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |
Intangible assets | 12.9 | 9.8 |  |  |
Other | Trade name |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |
Intangible assets | $ 4.7 | 6.3 |  |  |
Shotgun Software Inc. |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |
Goodwill |  | 43.2 |  |  |
Deferred Revenue |  | (0.7) |  |  |
Deferred tax (liability) asset |  | (2.6) |  |  |
Net tangible assets |  | 0.1 |  |  |
Total |  | 54.5 |  |  |
Shotgun Software Inc. | Developed technologies |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |
Intangible assets |  | 5.4 |  |  |
Shotgun Software Inc. | Customer relationships |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |
Intangible assets |  | 7.5 |  |  |
Shotgun Software Inc. | Trade name |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |
Intangible assets |  | 1.6 |  |  |
Within Technologies Limited |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |
Goodwill |  | 80.6 | $ 78.9 |  |
Deferred Revenue |  | 0.0 |  |  |
Deferred tax (liability) asset |  | (1.7) |  |  |
Net tangible assets |  | (0.3) |  |  |
Total |  | 88.0 |  |  |
Within Technologies Limited | Developed technologies |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |
Intangible assets |  | 4.6 |  |  |
Within Technologies Limited | Customer relationships |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |
Intangible assets |  | 3.6 |  |  |
Within Technologies Limited | Trade name |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |
Intangible assets |  | 1.2 |  |  |
Delcam plc |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |
Goodwill |  | 190.4 |  | $ 166.0 |
Deferred Revenue |  | (10.4) |  |  |
Deferred tax (liability) asset |  | (13.2) |  |  |
Net tangible assets |  | 32.7 |  |  |
Total |  | 284.6 |  |  |
Delcam plc | Developed technologies |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |
Intangible assets |  | 28.9 |  |  |
Delcam plc | Customer relationships |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |
Intangible assets |  | 39.7 |  |  |
Delcam plc | Trade name |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |
Intangible assets |  | $ 16.5 |  |  |

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