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Income Taxes - Income Taxes Additional Information (Detail) - USD ($) $ / shares in Units, $ in Millions | 12 Months Ended |
--- | --- | ---
Jan. 31, 2017 | Jan. 31, 2016 | Jan. 31, 2015 | Jan. 31, 2014
Income Taxes [Line Items] |  |  |  |
Foreign pretax income (loss) | $ (27.6) | $ 218.2 | $ 302.5 |
Valuation allowance | 352.4 | 327.2 | 3.6 |
Deferred income taxes, net | 63.9 | 9.2 |  |
Gross unrecognized tax benefits | 261.4 | 254.3 | 245.8 | $ 222.1
Amount of gross unrecognized tax benefits that would impact the effective tax rate, if recognized | 247.3 |  |  |
Unrecognized tax benefits | 2.5 | 3.3 | 2.0 |
Income tax expense from penalties and interest | 1.5 | 1.3 |  |
Income benefit from penalties and interest |  |  | (0.8) |
Cumulative earnings from Foreign subsidiaries for which income taxes have not been provided | 1,738.9 |  |  |
Unrecognized deferred tax liability for earnings of foreign subsidiaries | 435.1 |  |  |
Foreign income tax expense (benefit) | $ (27.1) | $ 0.0 | $ (1.2) |
Income tax benefits per share | $ 0.12 |  | $ 0.01 |
Domestic Country |  |  |  |
Income Taxes [Line Items] |  |  |  |
Operating loss carryforwards | $ 575.0 |  |  |
Domestic Country | Research Tax Credit Carryforward |  |  |  |
Income Taxes [Line Items] |  |  |  |
Tax credit carryforward | 127.1 |  |  |
State and Local Jurisdiction |  |  |  |
Income Taxes [Line Items] |  |  |  |
Operating loss carryforwards | 526.8 |  |  |
State and Local Jurisdiction | Research Tax Credit Carryforward |  |  |  |
Income Taxes [Line Items] |  |  |  |
Tax credit carryforward | 66.8 |  |  |
Foreign Country |  |  |  |
Income Taxes [Line Items] |  |  |  |
Deferred income taxes, net | 49.7 |  |  |
Tax credit carryforward | 211.5 |  |  |
Foreign Country | Canada |  |  |  |
Income Taxes [Line Items] |  |  |  |
Tax credit carryforward | $ 54.6 |  |  |

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- Definition Amount after allocation of valuation allowances of deferred tax asset attributable to deductible temporary differences and carryforwards classified as noncurrent. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=65882285&loc=d3e32537-109319 Reference 2: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 45 -Paragraph 6 -URI http://asc.fasb.org/extlink&oid=75116654&loc=d3e31931-109318 Reference 3: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 45 -Paragraph 5 -URI http://asc.fasb.org/extlink&oid=75116654&loc=d3e31928-109318 Reference 4: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 45 -Paragraph 9 -URI http://asc.fasb.org/extlink&oid=75116654&loc=d3e31958-109318 Reference 5: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 45 -Paragraph 4 -URI http://asc.fasb.org/extlink&oid=75116654&loc=d3e31917-109318 + Details
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- Definition Amount of current and deferred foreign income tax expense (benefit) attributable to income (loss) from continuing operations. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 235 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SX 210.4-08.(h)(1)) -URI http://asc.fasb.org/extlink&oid=26873400&loc=d3e23780-122690 + Details
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