Goodwill and Other Intangible Assets, Net - Components of Other Intangible Assets (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended		12 Months Ended
	Jul. 30, 2021	Jul. 31, 2020	Jul. 30, 2021	Jul. 31, 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	$ 364,391	$ 328,693	$ 364,391	$ 328,693	$ 328,698
Accumulated Amortization	(128,575)	(105,944)	(128,575)	(105,944)	(110,905)
Net	235,816	222,749	235,816	222,749	217,793
Indefinite-lived - trade names	190,681	190,521	190,681	190,521	190,512
Total other intangible assets, gross	555,072	519,214	555,072	519,214	519,210
Total other intangible assets, net	426,497	413,270	426,497	413,270	$ 408,305
Estimated amortization expense
Amortization of other intangible assets	6,400	5,000	17,500	$ 14,600
Fiscal 2021 (remainder)	6,400		6,400
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	19,000		19,000
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	18,275	18,232	$ 18,275	$ 18,232	$ 18,257
Accumulated Amortization	(14,482)	(13,697)	(14,482)	(13,697)	(13,919)
Net	3,793	4,535	$ 3,793	$ 4,535	$ 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	6,871	$ 6,908	$ 6,871	$ 6,892
Accumulated Amortization	(6,861)	(6,804)	(6,861)	(6,804)	(6,831)
Net	47	67	$ 47	$ 67	$ 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	239,762	239,661	$ 239,762	$ 239,661	$ 239,634
Accumulated Amortization	(59,017)	(44,368)	(59,017)	(44,368)	(48,005)
Net	180,745	195,293	$ 180,745	$ 195,293	$ 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	87,512	51,999	$ 87,512	$ 51,999	$ 51,995
Accumulated Amortization	(40,943)	(34,232)	(40,943)	(34,232)	(35,208)
Net	46,569	17,767	$ 46,569	$ 17,767	$ 16,787
Trade names
Other Intangible Assets
Weighted-Average Useful Life in Years			15 years 3 months 18 days	15 years 3 months 18 days	15 years 4 months 24 days
Gross Carrying Amount	7,544	7,540	$ 7,544	$ 7,540	$ 7,530
Accumulated Amortization	(2,882)	(2,453)	(2,882)	(2,453)	(2,552)
Net	4,662	5,087	$ 4,662	$ 5,087	$ 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