Goodwill and Other Intangible Assets, Net - Components of Other Intangible Assets (Details) - USD ($) $ in Thousands	3 Months Ended		12 Months Ended
	Jan. 28, 2022	Jan. 29, 2021	Oct. 31, 2021
Other Intangible Assets
Weighted-Average Useful Life in Years	13 years 6 months	15 years 3 months 18 days	14 years 7 months 6 days
Gross Carrying Amount	$ 452,337	$ 335,969	$ 364,263
Accumulated Amortization	(141,244)	(116,025)	(134,866)
Net	311,093	219,944	229,397
Indefinite-lived - trade names	289,704	190,643	190,644
Total other intangible assets, gross	742,041	526,612	554,907
Total other intangible assets, net	600,797	410,587	$ 420,041
Estimated amortization expense
Amortization of other intangible assets	6,500	$ 4,900
Fiscal 2022 (remainder)	27,200
Fiscal 2023	32,700
Fiscal 2024	30,700
Fiscal 2025	28,200
Fiscal 2026	27,200
Fiscal 2027	22,700
After fiscal 2027	$ 142,400
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	$ 18,291	$ 18,275	$ 18,283
Accumulated Amortization	(14,858)	(14,123)	(14,670)
Net	$ 3,433	$ 4,152	$ 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	$ 6,921	$ 6,908	$ 6,914
Accumulated Amortization	(6,885)	(6,851)	(6,872)
Net	$ 36	$ 57	$ 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	$ 322,296	$ 239,816	$ 239,679
Accumulated Amortization	(66,325)	(51,747)	(62,617)
Net	$ 255,971	$ 188,069	$ 177,062
Developed technology
Other Intangible Assets
Weighted-Average Useful Life in Years	7 years	7 years 8 months 12 days	7 years
Gross Carrying Amount	$ 87,427	$ 59,017	$ 87,473
Accumulated Amortization	(45,748)	(36,230)	(43,348)
Net	$ 41,679	$ 22,787	$ 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	$ 10,762	$ 7,563	$ 7,524
Accumulated Amortization	(3,038)	(2,684)	(2,969)
Net	$ 7,724	$ 4,879	$ 4,555
Backlog and other
Other Intangible Assets
Weighted-Average Useful Life in Years	8 months 12 days	7 months 6 days	7 months 6 days
Gross Carrying Amount	$ 6,640	$ 4,390	$ 4,390
Accumulated Amortization	(4,390)	(4,390)	(4,390)
Net	$ 2,250	$ 0	$ 0