Goodwill and Other Intangible Assets, Net - Components of Other Intangible Assets (Details) - USD ($) $ in Thousands	3 Months Ended		12 Months Ended
	Jan. 29, 2021	Jan. 31, 2020	Oct. 31, 2020
Other Intangible Assets
Weighted-Average Useful Life in Years	15 years 3 months 18 days	15 years 6 months	15 years 6 months
Gross Carrying Amount	$ 335,969	$ 309,254	$ 328,698
Accumulated Amortization	(116,025)	(95,937)	(110,905)
Net	219,944	213,317	217,793
Indefinite-lived - trade names	190,643	134,326	190,512
Total other intangible assets, gross	526,612	443,580	519,210
Total other intangible assets, net	410,587	347,643	$ 408,305
Estimated amortization expense
Amortization of other intangible assets	4,900	$ 4,700
Fiscal 2021	15,700
Fiscal 2022	19,300
Fiscal 2023	17,600
Fiscal 2024	16,500
Fiscal 2025	14,900
Fiscal 2026	14,200
After 2026	$ 121,700
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	$ 18,238	$ 18,257
Accumulated Amortization	(14,123)	(13,307)	(13,919)
Net	$ 4,152	$ 4,931	$ 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	$ 6,875	$ 6,892
Accumulated Amortization	(6,851)	(6,798)	(6,831)
Net	$ 57	$ 77	$ 61
Customer-related
Other Intangible Assets
Weighted-Average Useful Life in Years	18 years 2 months 12 days	18 years 4 months 24 days	18 years 2 months 12 days
Gross Carrying Amount	$ 239,816	$ 220,364	$ 239,634
Accumulated Amortization	(51,747)	(36,970)	(48,005)
Net	$ 188,069	$ 183,394	$ 191,629
Developed technology
Other Intangible Assets
Weighted-Average Useful Life in Years	7 years 8 months 12 days	7 years 7 months 6 days	7 years 7 months 6 days
Gross Carrying Amount	$ 59,017	$ 51,902	$ 51,995
Accumulated Amortization	(36,230)	(32,264)	(35,208)
Net	$ 22,787	$ 19,638	$ 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	$ 7,485	$ 7,530
Accumulated Amortization	(2,684)	(2,208)	(2,552)
Net	$ 4,879	$ 5,277	$ 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
Accumulated Amortization	(4,390)	(4,390)	(4,390)
Net	$ 0	$ 0	$ 0