Intangible Assets - Schedule of Other Intangible Assets (Details) - USD ($) $ in Millions	Oct. 31, 2024	Oct. 31, 2023
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 3,190.6	$ 2,916.1
Accumulated Amortization	1,401.4	1,215.1
Intangible assets with definite lives, net	$ 1,789.2	1,701.0
Weighted-average Amortization Period (in years)	16 years
Intangible assets with indefinite lives, net	$ 1.8	9.3
Total other intangibles, net	1,791.0	1,710.3
Trademarks
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	204.2	208.9
Accumulated Amortization	$ 90.6	81.1
Weighted-average Amortization Period (in years)	15 years
Composite intangible assets
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 1,101.6	1,061.9
Accumulated Amortization	$ 496.8	424.8
Weighted-average Amortization Period (in years)	15 years
Technology
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 706.4	494.5
Accumulated Amortization	$ 384.3	335.4
Weighted-average Amortization Period (in years)	11 years
Customer relationships
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 1,130.5	1,099.2
Accumulated Amortization	$ 402.5	345.8
Weighted-average Amortization Period (in years)	19 years
License and distribution rights and other
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 47.9	51.6
Accumulated Amortization	$ 27.2	$ 28.0
Weighted-average Amortization Period (in years)	11 years