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Income Taxes - Narrative (Details) - USD ($) $ in Millions | 12 Months Ended |
--- | --- | ---
Jan. 31, 2022 | Jan. 31, 2021 | Jan. 31, 2020 | Jan. 31, 2019
Income Taxes [Line Items] |  |  |  |
Foreign pretax income (loss) | $ 559.5 | $ 527.8 | $ 475.5 |
Deferred tax assets, valuation allowance | 188.3 | 186.5 |  |
Valuation allowance increase (decrease) | 1.8 | (696.9) | 85.6 |
Gross unrecognized tax benefits | 206.7 | 198.0 | 220.6 | $ 209.0
Unrecognized tax benefits that would reduce the valuation allowance if recognized | 33.6 |  |  |
Effect of change in unrecognized tax benefits | 7.8 |  |  |
Unrecognized tax benefits | 6.5 | 4.5 | 2.3 |
Income tax expense from penalties and interest | 2.1 | 2.2 | (0.8) |
Valuation Allowance, Tax Credit Carryforward |  |  |  |
Income Taxes [Line Items] |  |  |  |
Amount of gross unrecognized tax benefits that would impact the effective tax rate, if recognized | 173.1 |  |  |
Foreign Country |  |  |  |
Income Taxes [Line Items] |  |  |  |
Deferred tax assets, valuation allowance | 60.5 |  |  |
Operating loss carryforwards | 164.0 |  |  |
Tax credit carryforward | 119.3 |  |  |
Foreign Country | Norway |  |  |  |
Income Taxes [Line Items] |  |  |  |
Operating loss carryforwards | 28.7 |  |  |
Foreign Country | Singapore |  |  |  |
Income Taxes [Line Items] |  |  |  |
Valuation allowance increase (decrease) |  |  | $ (42.0) |
Operating loss carryforwards | 85.2 |  |  |
Foreign Country | NETHERLANDS |  |  |  |
Income Taxes [Line Items] |  |  |  |
Operating loss carryforwards | 41.3 |  |  |
Foreign Country | Canada | Research Tax Credit Carryforward |  |  |  |
Income Taxes [Line Items] |  |  |  |
Tax credit carryforward | 49.2 |  |  |
Foreign Country | ONTARIO | Research Tax Credit Carryforward |  |  |  |
Income Taxes [Line Items] |  |  |  |
Tax credit carryforward | 1.4 |  |  |
Domestic Country |  |  |  |
Income Taxes [Line Items] |  |  |  |
Valuation allowance increase (decrease) |  | $ (679.0) |  |
Operating loss carryforwards | 41.0 |  |  |
Domestic Country | Research Tax Credit Carryforward |  |  |  |
Income Taxes [Line Items] |  |  |  |
Tax credit carryforward | 190.8 |  |  |
State and Local Jurisdiction |  |  |  |
Income Taxes [Line Items] |  |  |  |
Operating loss carryforwards | 585.4 |  |  |
State and Local Jurisdiction | California | Research Tax Credit Carryforward |  |  |  |
Income Taxes [Line Items] |  |  |  |
Tax credit carryforward | $ 106.5 |  |  |

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- Definition Amount of decrease reasonably possible in the next twelve months for the unrecognized tax benefit. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 50 -Paragraph 15 -Subparagraph (d)(3) -URI http://asc.fasb.org/extlink&oid=121826272&loc=d3e32718-109319 + Details
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- Definition Amount of deferred tax assets for which it is more likely than not that a tax benefit will not be realized. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 740 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c) -URI http://asc.fasb.org/extlink&oid=121826272&loc=d3e32537-109319 + Details
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