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Income Taxes - Narrative (Details) - USD ($) $ in Millions | 3 Months Ended | 12 Months Ended |
--- | --- | --- | ---
Jul. 31, 2021 | Oct. 31, 2023 | Oct. 31, 2022 | Oct. 31, 2021 | Jan. 31, 2021
Operating Loss Carryforwards [Line Items] |  |  |  |  |
Deferred tax asset, intra-entity sale of certain intellectual property rights |  |  |  |  | $ 1,987.9
Remeasurement of deferred tax assets from UK rate change | $ (536.7) | $ 0.0 | $ 0.0 | $ (536.7) |
Unrecognized tax benefits that would impact the effective tax rate |  | 323.2 | 324.3 | 336.5 |
Accrued gross interest and penalties related to uncertain tax positions |  | 5.8 | $ 5.4 | $ 6.4 |
Significant change in unrecognized tax benefits that is reasonably possible during the next twelve months |  | 8.1 |  |  |
Domestic Tax Authority |  |  |  |  |
Operating Loss Carryforwards [Line Items] |  |  |  |  |
Net operating loss carryforwards |  | 78.7 |  |  |
Federal net operating losses expiring |  | 46.0 |  |  |
Federal net operating losses not subject to expiration |  | 32.7 |  |  |
State and Local Jurisdiction |  |  |  |  |
Operating Loss Carryforwards [Line Items] |  |  |  |  |
Net operating loss carryforwards |  | $ 87.1 |  |  |

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- Definition Amount, before allocation of valuation allowance, of deferred tax asset attributable to deductible temporary difference from intra-entity transfer of asset within consolidated group. Excludes intra-entity transfer of inventory. + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Topic 740 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 6 -Publisher FASB -URI https://asc.fasb.org//1943274/2147482685/740-10-50-6 + Details
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- Definition Amount of the difference between reported income tax expense (benefit) and expected income tax expense (benefit) computed by applying the domestic federal statutory income tax rates to pretax income (loss) from continuing operations, attributable to increase (decrease) in the income tax rates. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 740 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 12 -Publisher FASB -URI https://asc.fasb.org//1943274/2147482685/740-10-50-12 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Topic 740 -SubTopic 10 -Name Accounting Standards Codification -Section 45 -Paragraph 15 -Publisher FASB -URI https://asc.fasb.org//1943274/2147482525/740-10-45-15 + Details
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- Definition Amount accrued for interest on an underpayment of income taxes and penalties related to a tax position claimed or expected to be claimed in the tax return. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 740 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 15 -Subparagraph (c) -Publisher FASB -URI https://asc.fasb.org//1943274/2147482685/740-10-50-15 + Details
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