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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, 2016 | Jan. 31, 2015 | Jan. 31, 2014
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 | $ 245.8 | $ 222.1 | $ 212.7
Increases for tax positions of prior years | 1.4 | 3.2 | 1.8
Decreases for tax positions of prior years | (7.0) | (2.5) | (0.3)
Increases for tax positions related to the current year | 15.8 | 33.2 | 15.3
Decreases relating to settlements with taxing authorities | (0.5) | (5.4) | (4.6)
Reductions as a result of lapse of the statute of limitations | (1.2) | (4.8) | (2.8)
Gross unrecognized tax benefits at the end of the fiscal year | $ 254.3 | $ 245.8 | $ 222.1

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- Definition Amount of unrecognized tax benefits pertaining to uncertain tax positions taken in tax returns. + 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=6907707&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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