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Acquisitions - Summary of Fair Value of Assets Acquired and Liabilities Assumed by Major Class (Detail) - USD ($) $ in Millions | Jan. 31, 2018 | Jan. 31, 2017
--- | --- | ---
Business Acquisition [Line Items] |  |
Goodwill | $ 1,620.2 | $ 1,561.1
Other |  |
Business Acquisition [Line Items] |  |
Goodwill |  | 62.8
Deferred revenue (current and non-current) |  | (2.1)
Deferred tax liability |  | (7.1)
Net tangible (liabilities) assets |  | 0.6
Total |  | 87.0
Other | Developed technologies |  |
Business Acquisition [Line Items] |  |
Intangible assets |  | 18.8
Other | Customer relationships |  |
Business Acquisition [Line Items] |  |
Intangible assets |  | 10.2
Other | Trade name |  |
Business Acquisition [Line Items] |  |
Intangible assets |  | $ 3.8

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