Employee Benefit Plans (Fair Value of Plan Assets) (Details) - USD ($) $ in Millions	Oct. 31, 2021	Oct. 25, 2020	Oct. 27, 2019	Oct. 28, 2018
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan of assets	$ 491	$ 431	$ 409	$ 365
Total assets at fair value
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan of assets	345	232
Level 1
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan of assets	218	177
Level 2
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan of assets	17	16
Level 3
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan of assets	110	39	$ 36
Assets measured at net asset value
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan of assets	146	199
Equity securities | Total assets at fair value
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan of assets	137	103
Equity securities | Level 1
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan of assets	137	103
Equity securities | Level 2
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan of assets	0	0
Equity securities | Level 3
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan of assets	0	0
Debt securities | Total assets at fair value
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan of assets	79	72
Debt securities | Level 1
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan of assets	79	72
Debt securities | Level 2
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan of assets	0	0
Debt securities | Level 3
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan of assets	0	0
Insurance contracts | Total assets at fair value
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan of assets	110	39
Insurance contracts | Level 1
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan of assets	0	0
Insurance contracts | Level 2
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan of assets	0	0
Insurance contracts | Level 3
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan of assets	110	39
Other investments | Total assets at fair value
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan of assets	17	16
Other investments | Level 1
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan of assets	0	0
Other investments | Level 2
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan of assets	17	16
Other investments | Level 3
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan of assets	0	0
Cash | Total assets at fair value
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan of assets	2	2
Cash | Level 1
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan of assets	2	2
Cash | Level 2
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan of assets	0	0
Cash | Level 3
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan of assets	$ 0	$ 0