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. 30, 2021	May 01, 2020	Apr. 30, 2021	May 01, 2020	Oct. 31, 2020
Other Intangible Assets
Weighted-Average Useful Life in Years			14 years 7 months 6 days	15 years 6 months	15 years 6 months
Gross Carrying Amount	$ 364,526	$ 328,195	$ 364,526	$ 328,195	$ 328,698
Accumulated Amortization	(122,284)	(100,736)	(122,284)	(100,736)	(110,905)
Net	242,242	227,459	242,242	227,459	217,793
Indefinite-lived - trade names	190,687	190,427	190,687	190,427	190,512
Total other intangible assets, gross	555,213	518,622	555,213	518,622	519,210
Total other intangible assets, net	432,929	417,886	432,929	417,886	$ 408,305
Estimated amortization expense
Amortization of other intangible assets	6,200	4,900	11,100	$ 9,600
Fiscal 2021 (remainder)	12,700		12,700
Fiscal 2022	24,200		24,200
Fiscal 2023	22,400		22,400
Fiscal 2024	21,400		21,400
Fiscal 2025	19,800		19,800
Fiscal 2026	19,100		19,100
After fiscal 2026	122,600		$ 122,600
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	18,276	18,227	$ 18,276	$ 18,227	$ 18,257
Accumulated Amortization	(14,304)	(13,494)	(14,304)	(13,494)	(13,919)
Net	3,972	4,733	$ 3,972	$ 4,733	$ 4,338
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	6,908	6,865	$ 6,908	$ 6,865	$ 6,892
Accumulated Amortization	(6,856)	(6,794)	(6,856)	(6,794)	(6,831)
Net	52	71	$ 52	$ 71	$ 61
Customer-related
Other Intangible Assets
Weighted-Average Useful Life in Years			18 years 2 months 12 days	18 years 2 months 12 days	18 years 2 months 12 days
Gross Carrying Amount	239,838	239,383	$ 239,838	$ 239,383	$ 239,634
Accumulated Amortization	(55,407)	(40,555)	(55,407)	(40,555)	(48,005)
Net	184,431	198,828	$ 184,431	$ 198,828	$ 191,629
Developed technology
Other Intangible Assets
Weighted-Average Useful Life in Years			7 years	7 years 7 months 6 days	7 years 7 months 6 days
Gross Carrying Amount	87,551	51,854	$ 87,551	$ 51,854	$ 51,995
Accumulated Amortization	(38,535)	(33,199)	(38,535)	(33,199)	(35,208)
Net	49,016	18,655	$ 49,016	$ 18,655	$ 16,787
Trade names
Other Intangible Assets
Weighted-Average Useful Life in Years			15 years 3 months 18 days	15 years 4 months 24 days	15 years 4 months 24 days
Gross Carrying Amount	7,563	7,476	$ 7,563	$ 7,476	$ 7,530
Accumulated Amortization	(2,792)	(2,304)	(2,792)	(2,304)	(2,552)
Net	4,771	5,172	$ 4,771	$ 5,172	$ 4,978
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	4,390	4,390	$ 4,390	$ 4,390	$ 4,390
Accumulated Amortization	(4,390)	(4,390)	(4,390)	(4,390)	(4,390)
Net	$ 0	$ 0	$ 0	$ 0	$ 0