Goodwill and Other Intangible Assets, Net - Components of Other Intangible Assets (Details) - USD ($) $ in Thousands	6 Months Ended		12 Months Ended
	May 05, 2023	Apr. 29, 2022	Oct. 31, 2022
Other Intangible Assets
Weighted-Average Useful Life in Years	13 years 4 months 24 days	13 years 7 months 6 days	13 years 4 months 24 days
Gross Carrying Amount	$ 465,085	$ 450,143	$ 464,332
Accumulated Amortization	(186,274)	(150,077)	(167,852)
Net	278,811	300,066	296,480
Indefinite-lived - trade names	289,545	289,542	289,352
Total other intangible assets, gross	754,630	739,685	753,684
Total other intangible assets, net	$ 568,356	$ 589,608	$ 585,832
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	$ 18,239	$ 18,269	$ 18,210
Accumulated Amortization	(15,705)	(15,015)	(15,317)
Net	$ 2,534	$ 3,254	$ 2,893
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	$ 6,877	$ 6,902	$ 6,851
Accumulated Amortization	(6,865)	(6,870)	(6,829)
Net	$ 12	$ 32	$ 22
Customer-related
Other Intangible Assets
Weighted-Average Useful Life in Years	16 years	16 years	16 years
Gross Carrying Amount	$ 321,358	$ 321,242	$ 320,959
Accumulated Amortization	(95,796)	(72,197)	(83,805)
Net	$ 225,562	$ 249,045	$ 237,154
Developed technology
Other Intangible Assets
Weighted-Average Useful Life in Years	7 years 1 month 6 days	7 years	7 years 1 month 6 days
Gross Carrying Amount	$ 102,132	$ 87,286	$ 101,915
Accumulated Amortization	(58,400)	(47,975)	(53,001)
Net	$ 43,732	$ 39,311	$ 48,914
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 9 months 18 days
Gross Carrying Amount	$ 10,749	$ 10,714	$ 10,667
Accumulated Amortization	(3,778)	(3,141)	(3,395)
Net	$ 6,971	$ 7,573	$ 7,272
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)	(4,879)	(5,505)
Net	$ 0	$ 851	$ 225