Goodwill and Other Intangible Assets - Components of Other Intangible Assets (Details) - USD ($) $ in Millions	Oct. 31, 2023	Oct. 31, 2022
Other Intangible Assets
Estimated useful life	13 years 3 months 18 days	13 years 4 months 24 days
Gross Carrying Amount	$ 471.0	$ 464.3
Accumulated Amortization	(202.4)	(167.8)
Net	268.6	296.5
Indefinite-lived - trade names	271.5	289.3
Total other intangible assets, gross	742.5	753.6
Total other intangible assets, net	$ 540.1	$ 585.8
Patents
Other Intangible Assets
Estimated useful life	9 years 10 months 24 days	9 years 10 months 24 days
Gross Carrying Amount	$ 18.2	$ 18.2
Accumulated Amortization	(16.0)	(15.3)
Net	$ 2.2	$ 2.9
Non-compete agreements
Other Intangible Assets
Estimated useful life	5 years 6 months	5 years 6 months
Gross Carrying Amount	$ 6.9	$ 6.8
Accumulated Amortization	(6.9)	(6.8)
Net	$ 0.0	$ 0.0
Customer-related
Other Intangible Assets
Estimated useful life	15 years 9 months 18 days	16 years
Gross Carrying Amount	$ 327.5	$ 321.0
Accumulated Amortization	(106.7)	(83.8)
Net	$ 220.8	$ 237.2
Developed technology
Other Intangible Assets
Estimated useful life	7 years 1 month 6 days	7 years 1 month 6 days
Gross Carrying Amount	$ 102.0	$ 101.9
Accumulated Amortization	(63.1)	(53.0)
Net	$ 38.9	$ 48.9
Trade names
Other Intangible Assets
Estimated useful life	13 years 8 months 12 days	13 years 9 months 18 days
Gross Carrying Amount	$ 10.7	$ 10.7
Accumulated Amortization	(4.0)	(3.4)
Net	$ 6.7	$ 7.3
Backlog and other
Other Intangible Assets
Estimated useful life	7 months 6 days	7 months 6 days
Gross Carrying Amount	$ 5.7	$ 5.7
Accumulated Amortization	(5.7)	(5.5)
Net	$ 0.0	$ 0.2