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Income Taxes (Details) - USD ($)
3 Months Ended 9 Months Ended 12 Months Ended
Jul. 31, 2021
Jul. 31, 2020
Jul. 31, 2021
Jul. 31, 2020
Jul. 31, 2021
Jan. 31, 2021
Income Tax Disclosure [Abstract]            
Effective income tax rate (554.90%) 16.90% (666.30%) 9.00%    
Tax benefit related to remeasurement of deferred tax assets due to UK change in tax rate         $ 534,900,000  
Deferred tax asset, intra-entity sale of certain intellectual property rights           $ 1,987,900,000