Intangible Assets - Other Intangible Assets (Details) - USD ($) $ in Millions	Oct. 31, 2023	Oct. 31, 2022
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 2,916.1	$ 2,919.0
Accumulated Amortization	1,215.1	1,044.7
Intangible assets with definite lives, net	1,701.0	1,874.3
Intangible assets with indefinite lives, net	9.3	10.8
Total other intangibles, net	$ 1,710.3	1,885.1
Weighted-average Amortization Period (in years)	16 years
Trademarks
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 208.9	209.6
Accumulated Amortization	$ 81.1	62.4
Weighted-average Amortization Period (in years)	15 years
Composite intangible asset
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 1,061.9	1,061.9
Accumulated Amortization	$ 424.8	354.0
Weighted-average Amortization Period (in years)	15 years
Technology
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 494.5	504.1
Accumulated Amortization	$ 335.4	317.5
Weighted-average Amortization Period (in years)	13 years
Customer relationships
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 1,099.2	1,092.7
Accumulated Amortization	$ 345.8	287.0
Weighted-average Amortization Period (in years)	19 years
License and distribution rights and other
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 51.6	50.7
Accumulated Amortization	$ 28.0	$ 23.8
Weighted-average Amortization Period (in years)	11 years