Goodwill and Other Intangible Assets, Net - Components of Other Intangible Assets (Details) - USD ($) $ in Thousands	3 Months Ended		6 Months Ended		12 Months Ended
	Apr. 29, 2022	Apr. 30, 2021	Apr. 29, 2022	Apr. 30, 2021	Oct. 31, 2021
Other Intangible Assets
Weighted-Average Useful Life in Years			13 years 7 months 6 days	14 years 7 months 6 days	14 years 7 months 6 days
Gross Carrying Amount	$ 450,143	$ 364,526	$ 450,143	$ 364,526	$ 364,263
Accumulated Amortization	(150,077)	(122,284)	(150,077)	(122,284)	(134,866)
Net	300,066	242,242	300,066	242,242	229,397
Indefinite-lived - trade names	289,542	190,687	289,542	190,687	190,644
Total other intangible assets, gross	739,685	555,213	739,685	555,213	554,907
Total other intangible assets, net	589,608	432,929	589,608	432,929	$ 420,041
Estimated amortization expense
Amortization of other intangible assets	9,200	6,200	15,600	$ 11,100
Fiscal 2022 (remainder)	17,400		17,400
Fiscal 2023	32,700		32,700
Fiscal 2024	30,800		30,800
Fiscal 2025	28,000		28,000
Fiscal 2026	26,900		26,900
Fiscal 2027	22,500		22,500
After fiscal 2027	141,800		$ 141,800
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	18,269	18,276	$ 18,269	$ 18,276	$ 18,283
Accumulated Amortization	(15,015)	(14,304)	(15,015)	(14,304)	(14,670)
Net	3,254	3,972	$ 3,254	$ 3,972	$ 3,613
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	6,902	6,908	$ 6,902	$ 6,908	$ 6,914
Accumulated Amortization	(6,870)	(6,856)	(6,870)	(6,856)	(6,872)
Net	32	52	$ 32	$ 52	$ 42
Customer-related
Other Intangible Assets
Weighted-Average Useful Life in Years			16 years	18 years 2 months 12 days	18 years 2 months 12 days
Gross Carrying Amount	321,242	239,838	$ 321,242	$ 239,838	$ 239,679
Accumulated Amortization	(72,197)	(55,407)	(72,197)	(55,407)	(62,617)
Net	249,045	184,431	$ 249,045	$ 184,431	$ 177,062
Developed technology
Other Intangible Assets
Weighted-Average Useful Life in Years			7 years	7 years	7 years
Gross Carrying Amount	87,286	87,551	$ 87,286	$ 87,551	$ 87,473
Accumulated Amortization	(47,975)	(38,535)	(47,975)	(38,535)	(43,348)
Net	39,311	49,016	$ 39,311	$ 49,016	$ 44,125
Trade names
Other Intangible Assets
Weighted-Average Useful Life in Years			13 years 8 months 12 days	15 years 3 months 18 days	15 years 4 months 24 days
Gross Carrying Amount	10,714	7,563	$ 10,714	$ 7,563	$ 7,524
Accumulated Amortization	(3,141)	(2,792)	(3,141)	(2,792)	(2,969)
Net	7,573	4,771	$ 7,573	$ 4,771	$ 4,555
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	4,390	$ 5,730	$ 4,390	$ 4,390
Accumulated Amortization	(4,879)	(4,390)	(4,879)	(4,390)	(4,390)
Net	$ 851	$ 0	$ 851	$ 0	$ 0