Income Taxes - Textual (Details) $ / shares in Units, $ in Thousands, € in Millions	12 Months Ended
	Oct. 30, 2021 USD ($) $ / shares	Oct. 31, 2020 USD ($) $ / shares	Nov. 02, 2019 USD ($) $ / shares	Oct. 30, 2021 EUR (€)	Feb. 02, 2019 USD ($)	Nov. 03, 2018 USD ($)
Operating Loss Carryforwards [Line Items]
Unrecognized income tax, other outside basis differences	$ 33,600,000
Retained earnings	37,992,542	$ 11,997,945
Deferred tax assets	2,267,269	1,503,064
Deferred income tax	3,938,830	1,919,595
Valuation allowance	315,434	154,130
Federal and state net operating losses, subject to expiration	137,500
Foreign operating loss carryforwards, not subject to expiration	165,000
State credit carryover, subject to expiration	276,200
Foreign investment tax credit carryover, subject to expiration	14,200
Liability for unrealized tax benefits	132,500	21,300
Liability for interest and penalties	38,000	3,400
Additions for tax positions related to prior years			$ 11,400
Unrecognized tax benefits, increase resulting from acquisition	91,179
Income tax holiday, amount	$ 5,300	$ 4,600	$ 14,900
Impact of income tax holiday, basic and diluted (USD per share) | $ / shares	$ 0.01	$ 0.01	$ 0.04
Linear Technology Corporation
Operating Loss Carryforwards [Line Items]
Reserve release		$ 18,600
Maxim
Operating Loss Carryforwards [Line Items]
Unrecognized tax benefits, increase resulting from acquisition	$ 125,500
Unrecognized tax benefits with tax	91,200
Unrecognized tax benefits with interest	34,300
Maxim | Settlement with Taxing Authority
Operating Loss Carryforwards [Line Items]
Decrease in unrecognized tax benefits is reasonably possible	125,900
Irish Revenue Commissioners
Operating Loss Carryforwards [Line Items]
Income tax examination, excluding penalties and interest expense	51,000			€ 43.0
Retained earnings
Operating Loss Carryforwards [Line Items]
Retained earnings	$ 7,517,316	$ 7,236,238	$ 6,899,253			$ 5,982,697	[1]
Retained earnings | Cumulative Effect, Period of Adoption, Adjustment
Operating Loss Carryforwards [Line Items]
Retained earnings			$ 2,379			$ 331,026
Accounting Standards Update 2016-16
Operating Loss Carryforwards [Line Items]
Deferred tax assets					$ 1,700,000
Deferred income tax					1,300,000
Accounting Standards Update 2016-16 | Retained earnings | Cumulative Effect, Period of Adoption, Adjustment
Operating Loss Carryforwards [Line Items]
Retained earnings					$ 331,000

[1] Balances have been restated to reflect the adoption of Accounting Standards Update (ASU) 2014-09, Revenue from Contracts with Customers (ASU 2014-09). See Note 2a, Principles of Consolidation, of the Notes to Consolidated Financial Statements.