Goodwill and Other Intangible Assets, Net - Components of Other Intangible Assets (Details) - USD ($) $ in Thousands	3 Months Ended			9 Months Ended
	Jul. 29, 2022	Jan. 28, 2022	Jul. 30, 2021	Jul. 29, 2022	Jul. 30, 2021	Oct. 31, 2021
Other Intangible Assets
Weighted-Average Useful Life in Years		14 years 7 months 6 days		13 years 4 months 24 days	14 years 7 months 6 days
Gross Carrying Amount	$ 464,684		$ 364,391	$ 464,684	$ 364,391	$ 364,263
Accumulated Amortization	(159,015)		(128,575)	(159,015)	(128,575)	(134,866)
Net	305,669		235,816	305,669	235,816	229,397
Indefinite-lived - trade names	289,472		190,681	289,472	190,681	190,644
Total other intangible assets, gross	754,156		555,072	754,156	555,072	554,907
Total other intangible assets, net	595,141		426,497	595,141	426,497	420,041
Estimated amortization expense
Amortization of other intangible assets	9,100		6,400	24,800	$ 17,500
Fiscal 2022 (remainder)	9,100			9,100
Fiscal 2023	34,900			34,900
Fiscal 2024	33,000			33,000
Fiscal 2025	30,100			30,100
Fiscal 2026	29,000			29,000
Fiscal 2027	24,000			24,000
After fiscal 2027	145,600			$ 145,600
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	18,252		18,275	$ 18,252	$ 18,275	18,283
Accumulated Amortization	(15,178)		(14,482)	(15,178)	(14,482)	(14,670)
Net	3,074		3,793	$ 3,074	$ 3,793	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	6,887		6,908	$ 6,887	$ 6,908	6,914
Accumulated Amortization	(6,861)		(6,861)	(6,861)	(6,861)	(6,872)
Net	26		47	$ 26	$ 47	42
Customer-related
Other Intangible Assets
Weighted-Average Useful Life in Years		18 years 2 months 12 days		16 years	18 years 2 months 12 days
Gross Carrying Amount	321,113		239,762	$ 321,113	$ 239,762	239,679
Accumulated Amortization	(78,017)		(59,017)	(78,017)	(59,017)	(62,617)
Net	243,096		180,745	$ 243,096	$ 180,745	177,062
Developed technology
Other Intangible Assets
Weighted-Average Useful Life in Years		7 years		7 years 1 month 6 days	7 years
Gross Carrying Amount	102,013		87,512	$ 102,013	$ 87,512	87,473
Accumulated Amortization	(50,412)		(40,943)	(50,412)	(40,943)	(43,348)
Net	51,601		46,569	$ 51,601	$ 46,569	44,125
Trade names
Other Intangible Assets
Weighted-Average Useful Life in Years		15 years 4 months 24 days		13 years 8 months 12 days	15 years 3 months 18 days
Gross Carrying Amount	10,689		7,544	$ 10,689	$ 7,544	7,524
Accumulated Amortization	(3,267)		(2,882)	(3,267)	(2,882)	(2,969)
Net	7,422		4,662	$ 7,422	$ 4,662	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	(5,280)		(4,390)	(5,280)	(4,390)	(4,390)
Net	$ 450		$ 0	$ 450	$ 0	$ 0