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Intangible Assets - Schedule of Other Intangible Assets (Details) - USD ($)
$ in Millions
6 Months Ended
Apr. 30, 2022
Oct. 31, 2021
Finite-Lived Intangible Assets [Line Items]    
Gross  Carrying Amount $ 2,857.7 $ 2,143.3
Accumulated Amortization 961.1 881.9
Intangible assets with definite lives, net $ 1,896.6 1,261.4
Weighted Average Amortization Period (in years) 14 years  
Intangible assets with indefinite lives, net $ 10.8 10.1
Total other intangibles, net 1,907.4 1,271.5
Composite intangible asset    
Finite-Lived Intangible Assets [Line Items]    
Gross  Carrying Amount 1,061.9 1,061.8
Accumulated Amortization $ 318.6 283.2
Weighted Average Amortization Period (in years) 15 years  
Customer relationships    
Finite-Lived Intangible Assets [Line Items]    
Gross  Carrying Amount $ 1,048.6 378.4
Accumulated Amortization $ 265.6 240.1
Weighted Average Amortization Period (in years) 13 years  
Technology    
Finite-Lived Intangible Assets [Line Items]    
Gross  Carrying Amount $ 504.0 513.0
Accumulated Amortization $ 299.3 287.9
Weighted Average Amortization Period (in years) 10 years  
Trademarks    
Finite-Lived Intangible Assets [Line Items]    
Gross  Carrying Amount $ 210.6 156.7
Accumulated Amortization $ 55.5 49.1
Weighted Average Amortization Period (in years) 14 years  
License and distribution rights and other    
Finite-Lived Intangible Assets [Line Items]    
Gross  Carrying Amount $ 32.6 33.4
Accumulated Amortization $ 22.1 $ 21.6
Weighted Average Amortization Period (in years) 11 years