Goodwill and Other Intangible Assets, Net - Schedule of the Components of Other Intangible Assets (Details) - USD ($) $ in Thousands	Jan. 30, 2026	Oct. 31, 2025	Jan. 31, 2025
Other Intangible Assets
Weighted-Average Useful Life in Years	13 years	13 years 7 months 6 days	13 years 8 months 12 days
Gross Carrying Amount	$ 492,300	$ 446,800	$ 451,500
Accumulated Amortization	(257,300)	(247,100)	(232,400)
Net	235,000	199,700	219,100
Indefinite-lived - trade names	210,700	190,600	271,500
Total other intangible assets, gross	703,000	637,400	723,000
Total other intangible assets, net	$ 445,700	$ 390,300	$ 490,600
Patents
Other Intangible Assets
Weighted-Average Useful Life in Years	9 years 6 months	9 years 6 months	9 years 10 months 24 days
Gross Carrying Amount	$ 10,100	$ 10,100	$ 18,200
Accumulated Amortization	(9,400)	(9,300)	(16,900)
Net	$ 700	$ 800	$ 1,300
Customer-related
Other Intangible Assets
Weighted-Average Useful Life in Years	15 years 2 months 12 days	16 years	16 years
Gross Carrying Amount	$ 350,400	$ 320,000	$ 319,800
Accumulated Amortization	(153,000)	(147,600)	(133,200)
Net	$ 197,400	$ 172,400	$ 186,600
Developed technology
Other Intangible Assets
Weighted-Average Useful Life in Years	7 years 2 months 12 days	7 years	7 years 1 month 6 days
Gross Carrying Amount	$ 117,200	$ 107,100	$ 102,800
Accumulated Amortization	(86,200)	(83,300)	(75,300)
Net	$ 31,000	$ 23,800	$ 27,500
Trade names
Other Intangible Assets
Weighted-Average Useful Life in Years	12 years 9 months 18 days	12 years 10 months 24 days	13 years 8 months 12 days
Gross Carrying Amount	$ 9,600	$ 9,600	$ 10,700
Accumulated Amortization	(7,000)	(6,900)	(7,000)
Net	$ 2,600	$ 2,700	$ 3,700
Backlog and other
Other Intangible Assets
Weighted-Average Useful Life in Years	6 months
Gross Carrying Amount	$ 5,000
Accumulated Amortization	(1,700)
Net	$ 3,300