Goodwill and Other Intangible Assets, Net - Components of Other Intangible Assets (Details) - USD ($) $ in Thousands	3 Months Ended		12 Months Ended
	Feb. 03, 2023	Jan. 28, 2022	Oct. 31, 2022
Other Intangible Assets
Weighted-Average Useful Life in Years	13 years 4 months 24 days	13 years 6 months	13 years 4 months 24 days
Gross Carrying Amount	$ 465,075	$ 452,337	$ 464,332
Accumulated Amortization	(177,523)	(141,244)	(167,852)
Net	287,552	311,093	296,480
Indefinite-lived - trade names	289,512	289,704	289,352
Total other intangible assets, gross	754,587	742,041	753,684
Total other intangible assets, net	$ 577,064	$ 600,797	$ 585,832
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	$ 18,253	$ 18,291	$ 18,210
Accumulated Amortization	(15,539)	(14,858)	(15,317)
Net	$ 2,714	$ 3,433	$ 2,893
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	$ 6,889	$ 6,921	$ 6,851
Accumulated Amortization	(6,872)	(6,885)	(6,829)
Net	$ 17	$ 36	$ 22
Customer-related
Other Intangible Assets
Weighted-Average Useful Life in Years	16 years	16 years	16 years
Gross Carrying Amount	$ 321,334	$ 322,296	$ 320,959
Accumulated Amortization	(89,935)	(66,325)	(83,805)
Net	$ 231,399	$ 255,971	$ 237,154
Developed technology
Other Intangible Assets
Weighted-Average Useful Life in Years	7 years 1 month 6 days	7 years	7 years 1 month 6 days
Gross Carrying Amount	$ 102,125	$ 87,427	$ 101,915
Accumulated Amortization	(55,823)	(45,748)	(53,001)
Net	$ 46,302	$ 41,679	$ 48,914
Trade names
Other Intangible Assets
Weighted-Average Useful Life in Years	13 years 8 months 12 days	13 years 8 months 12 days	13 years 9 months 18 days
Gross Carrying Amount	$ 10,744	$ 10,762	$ 10,667
Accumulated Amortization	(3,624)	(3,038)	(3,395)
Net	$ 7,120	$ 7,724	$ 7,272
Backlog and other
Other Intangible Assets
Weighted-Average Useful Life in Years	7 months 6 days	8 months 12 days	7 months 6 days
Gross Carrying Amount	$ 5,730	$ 6,640	$ 5,730
Accumulated Amortization	(5,730)	(4,390)	(5,505)
Net	$ 0	$ 2,250	$ 225