Goodwill and Other Intangible Assets, Net - Schedule of the Components of Other Intangible Assets (Details) - USD ($) $ in Millions	May 02, 2025	Oct. 31, 2024	May 03, 2024
Other Intangible Assets
Weighted-Average Useful Life in Years	13 years 7 months 6 days	13 years 8 months 12 days	13 years 7 months 6 days
Gross Carrying Amount	$ 456.1	$ 451.7	$ 458.6
Accumulated Amortization	(240.5)	(224.6)	(207.4)
Net	215.6	227.1	251.2
Indefinite-lived - trade names	271.7	271.6	271.5
Total other intangible assets, gross	727.8	723.3	730.1
Total other intangible assets, net	$ 487.3	$ 498.7	$ 522.7
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	(17.1)	(16.7)	(16.4)
Net	$ 1.1	$ 1.5	$ 1.8
Customer-related
Other Intangible Assets
Weighted-Average Useful Life in Years	16 years	16 years	15 years 9 months 18 days
Gross Carrying Amount	$ 320.0	$ 319.9	$ 327.6
Accumulated Amortization	(138.2)	(128.0)	(118.7)
Net	$ 181.8	$ 191.9	$ 208.9
Developed technology
Other Intangible Assets
Weighted-Average Useful Life in Years	7 years	7 years 1 month 6 days	7 years 1 month 6 days
Gross Carrying Amount	$ 107.1	$ 102.9	$ 102.1
Accumulated Amortization	(78.0)	(72.9)	(67.9)
Net	$ 29.1	$ 30.0	$ 34.2
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	$ 10.8	$ 10.7	$ 10.7
Accumulated Amortization	(7.2)	(7.0)	(4.4)
Net	$ 3.6	$ 3.7	$ 6.3