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Acquisitions - Summary of Fair Value of Assets Acquired and Liabilities Assumed by Major Class (Detail) - USD ($) $ in Millions | 12 Months Ended
--- | ---
Jan. 31, 2017 | Jan. 31, 2016 | Jan. 31, 2015
Business Acquisition [Line Items] |  |  |
Goodwill | $ 1,561.1 | $ 1,535.0 |
Increase (decrease) in deferred tax liabilities | 38.8 | (235.9) | $ 18.8
Other |  |  |
Business Acquisition [Line Items] |  |  |
Goodwill | 62.8 | 63.7 |
Deferred revenue (current and non-current) | (2.1) | (0.7) |
Deferred tax liability | (7.1) | (1.6) |
Net tangible (liabilities) assets | 0.6 | 0.5 |
Total | 87.0 | 106.8 |
Other | Developed technologies |  |  |
Business Acquisition [Line Items] |  |  |
Intangible assets | 18.8 | 27.3 |
Other | Customer Relationships And Other Noncurrent Intangible Assets |  |  |
Business Acquisition [Line Items] |  |  |
Intangible assets | 10.2 | 12.9 |
Other | Trade name |  |  |
Business Acquisition [Line Items] |  |  |
Intangible assets | 3.8 | 4.7 |
netfabb |  |  |
Business Acquisition [Line Items] |  |  |
Goodwill |  | 36.1 |
Deferred revenue (current and non-current) |  | (1.0) |
Deferred tax liability |  | (3.9) |
Net tangible (liabilities) assets |  | (2.9) |
Total |  | 42.5 |
netfabb | Developed technologies |  |  |
Business Acquisition [Line Items] |  |  |
Intangible assets |  | 6.6 |
netfabb | Customer Relationships And Other Noncurrent Intangible Assets |  |  |
Business Acquisition [Line Items] |  |  |
Intangible assets |  | 6.2 |
netfabb | Trade name |  |  |
Business Acquisition [Line Items] |  |  |
Intangible assets |  | $ 1.4 |
Measurement Period Adjustment 1 |  |  |
Business Acquisition [Line Items] |  |  |
Goodwill, period increase (decrease) | 3.3 |  |
Increase (decrease) in tangible liabilities | 3.3 |  |
Measurement Period Adjustment 2 |  |  |
Business Acquisition [Line Items] |  |  |
Goodwill, period increase (decrease) | (0.8) |  |
Increase (decrease) in deferred tax liabilities | $ (0.8) |  |

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