Goodwill and Other Intangible Assets, Net - Components of Other Intangible Assets (Details) - USD ($) $ in Thousands	Aug. 04, 2023	Oct. 31, 2022	Jul. 29, 2022
Other Intangible Assets
Weighted-Average Useful Life in Years	13 years 2 months 12 days	13 years 4 months 24 days	13 years 4 months 24 days
Gross Carrying Amount	$ 472,713	$ 464,332	$ 464,684
Accumulated Amortization	(195,094)	(167,852)	(159,015)
Net	277,619	296,480	305,669
Indefinite-lived - trade names	271,571	289,352	289,472
Total other intangible assets, gross	744,284	753,684	754,156
Total other intangible assets, net	$ 549,190	$ 585,832	$ 595,141
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	$ 18,218	$ 18,210	$ 18,252
Accumulated Amortization	(15,864)	(15,317)	(15,178)
Net	$ 2,354	$ 2,893	$ 3,074
Non-compete agreements
Other Intangible Assets
Weighted-Average Useful Life in Years	5 years 6 months	5 years 6 months	5 years 6 months
Gross Carrying Amount	$ 6,858	$ 6,851	$ 6,887
Accumulated Amortization	(6,851)	(6,829)	(6,861)
Net	$ 7	$ 22	$ 26
Customer-related
Other Intangible Assets
Weighted-Average Useful Life in Years	15 years 8 months 12 days	16 years	16 years
Gross Carrying Amount	$ 329,059	$ 320,959	$ 321,113
Accumulated Amortization	(101,952)	(83,805)	(78,017)
Net	$ 227,107	$ 237,154	$ 243,096
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	$ 102,108	$ 101,915	$ 102,013
Accumulated Amortization	(60,776)	(53,001)	(50,412)
Net	$ 41,332	$ 48,914	$ 51,601
Trade names
Other Intangible Assets
Weighted-Average Useful Life in Years	13 years 8 months 12 days	13 years 9 months 18 days	13 years 8 months 12 days
Gross Carrying Amount	$ 10,740	$ 10,667	$ 10,689
Accumulated Amortization	(3,921)	(3,395)	(3,267)
Net	$ 6,819	$ 7,272	$ 7,422
Backlog and other
Other Intangible Assets
Weighted-Average Useful Life in Years	7 months 6 days	7 months 6 days	7 months 6 days
Gross Carrying Amount	$ 5,730	$ 5,730	$ 5,730
Accumulated Amortization	(5,730)	(5,505)	(5,280)
Net	$ 0	$ 225	$ 450