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Other Intangible Assets and Related Accumulated Amortization (Details) - USD ($) $ in Millions | Oct. 31, 2017 | Jan. 31, 2017
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Finite-Lived Intangible Assets [Line Items] |  |
Other intangible assets, at cost | $ 944.1 | $ 959.5
Less: Accumulated amortization | (882.5) | (862.0)
Other intangible assets, net | 61.6 | 97.5
Developed technologies, at cost |  |
Finite-Lived Intangible Assets [Line Items] |  |
Other intangible assets, at cost | 577.0 | 583.6
Customer relationships, trade names, patents, and user lists, at cost |  |
Finite-Lived Intangible Assets [Line Items] |  |
Other intangible assets, at cost | $ 367.1 | $ 375.9

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- Definition Accumulated amount of amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 50 -Paragraph 2 -Subparagraph (a)(1) -URI http://asc.fasb.org/extlink&oid=66006027&loc=d3e16323-109275 + Details
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- Definition Amount before amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 50 -Paragraph 2 -Subparagraph (a)(1) -URI http://asc.fasb.org/extlink&oid=66006027&loc=d3e16323-109275 + Details
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- Definition Amount after amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 50 -Paragraph 2 -Subparagraph (a)(1) -URI http://asc.fasb.org/extlink&oid=66006027&loc=d3e16323-109275 + Details
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