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Intangible Assets - Schedule of Intangible Assets (Details) - USD ($)
$ in Millions
3 Months Ended
Jan. 31, 2023
Oct. 31, 2022
Finite-Lived Intangible Assets [Line Items]    
Gross  Carrying Amount $ 2,946.8 $ 2,919.0
Accumulated Amortization 1,094.2 1,044.7
Intangible assets with definite lives, net $ 1,852.6 1,874.3
Weighted Average Amortization Period (in years) 16 years  
Intangible assets with indefinite lives, net $ 10.8 10.8
Total other intangibles, net 1,863.4 1,885.1
Composite intangible asset    
Finite-Lived Intangible Assets [Line Items]    
Gross  Carrying Amount 1,110.4 1,092.7
Accumulated Amortization $ 304.1 287.0
Weighted Average Amortization Period (in years) 19 years  
Customer relationships    
Finite-Lived Intangible Assets [Line Items]    
Gross  Carrying Amount $ 1,061.9 1,061.9
Accumulated Amortization $ 371.7 354.0
Weighted Average Amortization Period (in years) 15 years  
Technology-Based Intangible Assets [Member]    
Finite-Lived Intangible Assets [Line Items]    
Gross  Carrying Amount $ 512.9 504.1
Accumulated Amortization $ 327.3 317.5
Weighted Average Amortization Period (in years) 12 years  
Trademarks    
Finite-Lived Intangible Assets [Line Items]    
Gross  Carrying Amount $ 210.9 209.6
Accumulated Amortization $ 66.3 62.4
Weighted Average Amortization Period (in years) 15 years  
License and distribution rights and other    
Finite-Lived Intangible Assets [Line Items]    
Gross  Carrying Amount $ 50.7 50.7
Accumulated Amortization $ 24.8 $ 23.8
Weighted Average Amortization Period (in years) 10 years