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Intangible Assets - Other Intangible Assets (Details) - USD ($)
$ in Millions
12 Months Ended
Oct. 31, 2022
Oct. 31, 2021
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Amount $ 2,919.0 $ 2,143.3
Accumulated Amortization 1,044.7 881.9
Intangible assets with definite lives, net $ 1,874.3 1,261.4
Weighted Average Amortization Period (in years) 16 years  
Intangible assets with indefinite lives, net $ 10.8 10.1
Total other intangibles, net 1,885.1 1,271.5
Trademarks    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Amount 209.6 156.7
Accumulated Amortization $ 62.4 49.1
Weighted Average Amortization Period (in years) 15 years  
Composite intangible asset    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Amount $ 1,061.9 1,061.8
Accumulated Amortization $ 354.0 283.2
Weighted Average Amortization Period (in years) 15 years  
Technology    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Amount $ 504.1 513.0
Accumulated Amortization $ 317.5 287.9
Weighted Average Amortization Period (in years) 12 years  
Customer relationships    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Amount $ 1,092.7 378.4
Accumulated Amortization $ 287.0 240.1
Weighted Average Amortization Period (in years) 19 years  
License and distribution rights and other    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Amount $ 50.7 33.4
Accumulated Amortization $ 23.8 $ 21.6
Weighted Average Amortization Period (in years) 11 years