Income Taxes (Components of Income Taxes) (Details) - USD ($) $ in Millions	12 Months Ended
	Oct. 31, 2021	Oct. 25, 2020	Oct. 27, 2019
Components of income from operations before income taxes
U.S.	$ 512	$ 92	$ 363
Foreign	6,259	4,074	2,906
Income before income taxes	6,771	4,166	3,269
Current:
U.S.	462	196	240
Foreign	344	263	260
State	17	20	12
Total current provision for income taxes	823	479	512
Deferred:
U.S.	(3)	(3)	8
Foreign	67	76	46
State	(4)	(5)	(3)
Total deferred provision (benefit) for income taxes	60	68	51
Provision for income taxes	$ 883	$ 547	$ 563
Reconciliation between the statutory U.S.federal income tax rate to actual effective income tax rate
Tax provision at U.S. statutory rate	21.00%	21.00%	21.00%
Effect of foreign operations taxed at various rates	(7.00%)	(5.90%)	(5.90%)
Changes in prior years’ unrecognized tax benefits	0.20%	0.50%	2.60%
Resolutions of prior years' income tax filings	(0.10%)	(1.00%)	(0.10%)
Research and other tax credits	(0.90%)	(1.30%)	(1.10%)
Other	(0.20%)	(0.20%)	0.70%
Effective income tax rate	13.00%	13.10%	17.20%
Deferred tax assets:
Allowance for doubtful accounts	$ 4	$ 4
Inventory reserves and basis difference	112	119
Installation and warranty reserves	29	14
Intangible assets	1,281	1,355
Accrued liabilities	31	24
Deferred revenue	25	32
Tax credits	369	326
Deferred compensation	133	130
Share-based compensation	34	30
Lease liability	61	55
Other	89	96
Gross deferred tax assets	2,168	2,185
Valuation allowance	(361)	(314)
Total deferred tax assets	1,807	1,871
Deferred tax liabilities:
Fixed assets	(93)	(76)
Right of use assets	(62)	(54)
Undistributed foreign earnings	(37)	(39)
Total deferred tax liabilities	(192)	(169)
Net deferred tax assets	1,615	1,702
Reconciliation of gross unrecognized tax benefits
Beginning balance of gross unrecognized tax benefits	496	845	$ 374
Settlements with tax authorities	0	(446)	(1)
Lapses of statutes of limitation	(4)	(3)	(2)
Increases in tax positions for current year	26	44	33
Increases in tax positions for prior years	23	91	441
Decreases in tax positions for prior years	(4)	(35)	0
Ending balance of gross unrecognized tax benefits	$ 537	$ 496	$ 845