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Income Taxes - Narrative (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Jul. 31, 2021
Oct. 31, 2022
Oct. 31, 2021
Jan. 31, 2021
Oct. 31, 2020
Operating Loss Carryforwards [Line Items]          
Effective tax rate   18.80% (499.10%)    
Deferred tax asset, intra-entity sale of certain intellectual property rights       $ 1,987.9  
Tax benefit related to remeasurement of deferred tax assets due to UK change in tax rate $ 536.7        
Unrecognized tax benefits   $ 336.9 $ 353.8   $ 58.5
Unrecognized tax benefits that would impact the effective tax rate   324.3 336.5   46.0
Accrued gross interest and penalties related to uncertain tax positions   5.4 $ 6.4   $ 7.3
Significant change in unrecognized tax benefits that is reasonably possible during the next twelve months   9.1      
Domestic Tax Authority          
Operating Loss Carryforwards [Line Items]          
Net operating loss carryforwards   65.4      
Federal net operating losses expiring   17.1      
Federal net operating losses not subject to expiration   48.3      
State and Local Jurisdiction          
Operating Loss Carryforwards [Line Items]          
Net operating loss carryforwards   $ 97.3