Intangible Assets - Schedule of Intangible Assets (Details) - USD ($) $ in Millions	Jan. 31, 2025	Oct. 31, 2024
Finite-Lived Intangible Assets [Line Items]
Gross  Carrying Amount	$ 3,185.7	$ 3,190.6
Accumulated Amortization	1,448.2	1,401.4
Intangible assets with definite lives, net	1,737.5	1,789.2
Intangible assets with indefinite lives, net	1.9	1.8
Total other intangibles, net	1,739.4	1,791.0
Customer relationships
Finite-Lived Intangible Assets [Line Items]
Gross  Carrying Amount	1,125.9	1,130.5
Accumulated Amortization	$ 415.8	402.5
Weighted-Average Amortization Period (in years)	19 years
Composite intangible assets
Finite-Lived Intangible Assets [Line Items]
Gross  Carrying Amount	$ 1,101.7	1,101.6
Accumulated Amortization	$ 515.3	496.8
Weighted-Average Amortization Period (in years)	15 years
Technology
Finite-Lived Intangible Assets [Line Items]
Gross  Carrying Amount	$ 706.8	706.4
Accumulated Amortization	$ 395.6	384.3
Weighted-Average Amortization Period (in years)	11 years
Trademarks
Finite-Lived Intangible Assets [Line Items]
Gross  Carrying Amount	$ 203.4	204.2
Accumulated Amortization	$ 93.6	90.6
Weighted-Average Amortization Period (in years)	15 years
License and distribution rights and other
Finite-Lived Intangible Assets [Line Items]
Gross  Carrying Amount	$ 47.9	47.9
Accumulated Amortization	$ 27.9	$ 27.2
Weighted-Average Amortization Period (in years)	11 years