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Income Taxes - Income Taxes Unrecognized Tax Benefits Reconciliation, Table (Details) - USD ($) $ in Millions | 12 Months Ended
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Jan. 31, 2017 | Jan. 31, 2016 | Jan. 31, 2015
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward] |  |  |
Gross unrecognized tax benefits at the beginning of the fiscal year | $ 254.3 | $ 245.8 | $ 222.1
Increases for tax positions of prior years | 11.9 | 1.4 | 3.2
Decreases for tax positions of prior years | (4.1) | (7.0) | (2.5)
Increases for tax positions related to the current year | 11.1 | 15.8 | 33.2
Decreases relating to settlements with taxing authorities | (10.8) | (0.5) | (5.4)
Reductions as a result of lapse of the statute of limitations | (1.0) | (1.2) | (4.8)
Gross unrecognized tax benefits at the end of the fiscal year | $ 261.4 | $ 254.3 | $ 245.8

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- Definition Amount of unrecognized tax benefits. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 50 -Paragraph 15A -Subparagraph (a) -URI http://asc.fasb.org/extlink&oid=65882285&loc=SL6600010-109319 Reference 2: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Glossary Unrecognized Tax Benefit -URI http://asc.fasb.org/extlink&oid=6527854 + Details
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