Goodwill and Other Intangible Assets, Net - Schedule of the Components of Other Intangible Assets (Details) - USD ($) $ in Millions	Jan. 31, 2025	Oct. 31, 2024	Feb. 02, 2024
Other Intangible Assets
Weighted-Average Useful Life in Years	13 years 8 months 12 days	13 years 8 months 12 days	13 years 7 months 6 days
Gross Carrying Amount	$ 451.5	$ 451.7	$ 458.6
Accumulated Amortization	(232.4)	(224.6)	(198.7)
Net	219.1	227.1	259.9
Indefinite-lived - trade names	271.5	271.6	271.6
Total other intangible assets, gross	723.0	723.3	730.2
Total other intangible assets, net	$ 490.6	$ 498.7	$ 531.5
Patents
Other Intangible Assets
Weighted-Average Useful Life in Years	9 years 10 months 24 days	9 years 10 months 24 days	9 years 10 months 24 days
Gross Carrying Amount	$ 18.2	$ 18.2	$ 18.2
Accumulated Amortization	(16.9)	(16.7)	(16.2)
Net	$ 1.3	$ 1.5	$ 2.0
Customer-related
Other Intangible Assets
Weighted-Average Useful Life in Years	16 years	16 years	15 years 9 months 18 days
Gross Carrying Amount	$ 319.8	$ 319.9	$ 327.6
Accumulated Amortization	(133.2)	(128.0)	(112.7)
Net	$ 186.6	$ 191.9	$ 214.9
Developed technology
Other Intangible Assets
Weighted-Average Useful Life in Years	7 years 1 month 6 days	7 years 1 month 6 days	7 years 1 month 6 days
Gross Carrying Amount	$ 102.8	$ 102.9	$ 102.1
Accumulated Amortization	(75.3)	(72.9)	(65.6)
Net	$ 27.5	$ 30.0	$ 36.5
Trade names
Other Intangible Assets
Weighted-Average Useful Life in Years	13 years 8 months 12 days	13 years 8 months 12 days	13 years 8 months 12 days
Gross Carrying Amount	$ 10.7	$ 10.7	$ 10.7
Accumulated Amortization	(7.0)	(7.0)	(4.2)
Net	$ 3.7	$ 3.7	$ 6.5