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Deferred Compensation (Additional Information) (Details) - USD ($) $ in Millions | 3 Months Ended | 9 Months Ended |
--- | --- | --- | ---
Oct. 31, 2018 | Oct. 31, 2018 | Jan. 31, 2018
Deferred Compensation Arrangement with Individual, Excluding Share-based Payments and Postretirement Benefits [Line Items] |  |  |
Marketable securities | $ 317.3 | $ 317.3 |
Costs to obtain a contract | 75.8 | 75.8 |
Amortization of costs to obtain a contract | 26.9 | 80.0 |
Rabbi Trust Member |  |  |
Deferred Compensation Arrangement with Individual, Excluding Share-based Payments and Postretirement Benefits [Line Items] |  |  |
Deferred compensation liability | 59.6 | 59.6 | $ 59.0
Deferred compensation liability, current | 3.3 | 3.3 | 3.4
Deferred compensation liability, non-current | 56.3 | 56.3 | 55.6
Mutual funds |  |  |
Deferred Compensation Arrangement with Individual, Excluding Share-based Payments and Postretirement Benefits [Line Items] |  |  |
Trading securities | $ 59.6 | $ 59.6 | $ 59.0

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- Definition Amount of amortization expense for asset recognized from cost incurred to obtain or fulfill contract with customer. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 340 -SubTopic 40 -Section 50 -Paragraph 3 -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=68051541&loc=SL49131252-203054 + Details
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