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Income Taxes - Income Tax Provision Reconciliation (Details) - USD ($) $ in Thousands | 12 Months Ended
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Nov. 02, 2024 | Oct. 28, 2023 | Oct. 29, 2022
Income Tax Disclosure [Abstract] |  |  |
U.S. federal statutory tax rate | 21.00% | 21.00% | 21.00%
Income tax provision reconciliation: |  |  |
Tax at statutory rate | $ 373,241 | $ 757,681 | $ 650,737
Net foreign income subject to lower tax rate | (219,294) | (358,944) | (358,725)
State income taxes, net of federal benefit | (10,646) | 4,453 | (15,615)
Valuation allowance | 10,615 | (6,641) | 29,737
Federal research and development tax credits | (53,420) | (65,391) | (58,625)
Change in uncertain tax positions | (19,514) | 17,985 | 19,394
Amortization of purchased intangibles | 114,679 | 142,358 | 142,375
Taxes attributable to the Tax Cuts and Jobs Act of 2017 | (3,977) | (81,695) | 0
U.S. effects of international operations | (6,300) | (98,286) | (47,665)
Windfalls (under ASU 2016-09) | (22,985) | (24,211) | (16,717)
Other, net | (20,332) | 6,115 | 5,292
Total income tax provision | $ 142,067 | $ 293,424 | $ 350,188

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