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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