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Goodwill (Changes in the Carrying Amount of Goodwill) (Details) - USD ($) | 3 Months Ended | 9 Months Ended
--- | --- | ---
Oct. 31, 2018 | Oct. 31, 2018
Goodwill [Roll Forward] |  |
Goodwill gross, beginning of the period |  | $ 1,769,400,000
Less: accumulated impairment losses, beginning of the period |  | (149,200,000)
Goodwill net, beginning of the period |  | 1,620,200,000
Additions arising from acquisitions during the period |  | 71,900,000
Effect of foreign currency translation |  | (46,800,000)
Goodwill net, end of the period | $ 1,645,300,000 | 1,645,300,000
Goodwill impairment | $ 0 | $ 0

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- Definition Amount of increase in asset representing future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized resulting from a business combination. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 20 -Section 50 -Paragraph 1 -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=108376223&loc=d3e13816-109267 + Details
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- Definition Amount before accumulated impairment loss of an asset representing future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 20 -Section 50 -Paragraph 1 -Subparagraph (a) -URI http://asc.fasb.org/extlink&oid=108376223&loc=d3e13816-109267 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 20 -Section 50 -Paragraph 1 -Subparagraph (h) -URI http://asc.fasb.org/extlink&oid=108376223&loc=d3e13816-109267 + Details
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