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Acquisitions (Summary of Fair Value of Assets Acquired and Liabilities Assumed by Major Class) (Details) - USD ($) $ in Millions | Oct. 31, 2018 | Jan. 31, 2018
--- | --- | ---
Business Acquisition [Line Items] |  |
Goodwill | $ 1,645.3 | $ 1,620.2
Assemble Systems Inc |  |
Business Acquisition [Line Items] |  |
Goodwill | 71.9 |
Deferred revenue (current and non-current) | (1.7) |
Net tangible assets | 4.2 |
Total | 93.6 |
Assemble Systems Inc | Developed technologies |  |
Business Acquisition [Line Items] |  |
Finite-lived intangibles | 4.4 |
Assemble Systems Inc | Customer relationships and other non-current intangible assets |  |
Business Acquisition [Line Items] |  |
Finite-lived intangibles | 12.0 |
Assemble Systems Inc | Trade name |  |
Business Acquisition [Line Items] |  |
Finite-lived intangibles | $ 2.8 |

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