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Income Taxes - Narrative (Details) £ in Millions, $ in Millions |  |  |  | 12 Months Ended |
--- | --- | --- | --- | --- | ---
Jan. 17, 2019 USD ($) | Jan. 19, 2018 GBP (£) | Jan. 19, 2018 USD ($) | Dec. 20, 2017 GBP (£) | Oct. 31, 2019 USD ($) | Oct. 31, 2018 USD ($) | Oct. 31, 2017 USD ($) | Feb. 26, 2019 GBP (£) | Feb. 26, 2019 USD ($)
Operating Loss Carryforwards [Line Items] |  |  |  |  |  |  |  |  |
Diverted profit tax refund |  |  |  |  |  |  |  | £ 22.1 | $ 29.0
Payment for diverted profit tax |  | £ 31.0 | $ 42.0 |  |  |  |  |  |
Effective tax rate |  |  |  |  | 2.30% | 57.90% | 5.30% |  |
Statutory federal income tax rate |  |  |  |  | 21.00% | 23.34% | 35.00% |  |
Valuation allowance |  |  |  |  | $ 41.5 | $ 39.1 |  |  |
Unrecognized tax benefits |  |  |  |  | 49.7 | 68.9 | $ 59.9 |  |
Unrecognized tax benefits that would impact the effective tax rate |  |  |  |  | 41.7 | 46.6 | 38.1 |  |
Accrued gross interest and penalties related to uncertain tax positions |  |  |  |  | 3.9 | $ 4.4 | $ 3.6 |  |
Significant change in unrecognized tax benefits that is reasonably possible during the next twelve months |  |  |  |  | 21.7 |  |  |  |
United Kingdom |  |  |  |  |  |  |  |  |
Operating Loss Carryforwards [Line Items] |  |  |  |  |  |  |  |  |
Diverted profit tax | $ 116.0 |  |  | £ 31.0 |  |  |  |  |
Domestic Tax Authority |  |  |  |  |  |  |  |  |
Operating Loss Carryforwards [Line Items] |  |  |  |  |  |  |  |  |
Net operating loss carryforwards |  |  |  |  | 23.1 |  |  |  |
Federal net operating losses expiring between 2022 and 2037 |  |  |  |  | 18.6 |  |  |  |
Federal net operating losses not subject to expiration |  |  |  |  | 4.5 |  |  |  |
State and Local Jurisdiction |  |  |  |  |  |  |  |  |
Operating Loss Carryforwards [Line Items] |  |  |  |  |  |  |  |  |
Net operating loss carryforwards |  |  |  |  | 37.5 |  |  |  |
Research Tax Credit Carryforward |  |  |  |  |  |  |  |  |
Operating Loss Carryforwards [Line Items] |  |  |  |  |  |  |  |  |
Research credit |  |  |  |  | $ 1.7 |  |  |  |

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