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Income Taxes (Details) - USD ($) | 3 Months Ended | 6 Months Ended |
--- | --- | --- | ---
Apr. 30, 2021 | Apr. 30, 2020 | Apr. 30, 2021 | Apr. 30, 2020 | Jan. 31, 2021
Income Tax Disclosure [Abstract] |  |  |  |  |
Effective income tax rate | 13.80% | (27.70%) | (704.20%) | 4.20% |
Deferred tax asset, intra-entity sale of certain intellectual property rights |  |  |  |  | $ 1,987,900,000

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