Revenue Recognition (Details) - USD ($) $ in Millions	6 Months Ended
	Apr. 29, 2017	Oct. 29, 2016
Business Acquisition [Line Items]
Deferred revenue on shipments to distributors, gross	$ 527.7	$ 432.3
Deferred revenue on shipments to distributors, cost of sales	$ 149.9	$ 80.8
Standard product warranty term	12 months
Linear Technology Corporation [Member]
Business Acquisition [Line Items]
Deferred revenue on shipments to distributors, gross	$ 64.8
Deferred revenue on shipments to distributors, cost of sales	$ 64.8