Goodwill, Purchased Technology and Other Intangible Assets - Amortization Expense by Income Statement Location (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Jul. 31, 2022	Aug. 01, 2021	Jul. 31, 2022	Aug. 01, 2021
Finite-Lived Intangible Assets [Line Items]
Amortization expense	$ 11	$ 11	$ 30	$ 37
Cost of products sold
Finite-Lived Intangible Assets [Line Items]
Amortization expense	7	7	20	22
Research, development and engineering
Finite-Lived Intangible Assets [Line Items]
Amortization expense	0	0	0	1
Marketing and selling
Finite-Lived Intangible Assets [Line Items]
Amortization expense	$ 4	$ 4	$ 10	$ 14