Revenue Recognition (Details) - USD ($) $ in Millions	9 Months Ended
	Jul. 29, 2017	Oct. 29, 2016
Business Acquisition [Line Items]
Deferred revenue on shipments to distributors, gross	$ 586.1	$ 432.3
Deferred revenue on shipments to distributors, cost of sales	$ 136.4	$ 80.8
Standard product warranty term	12 months
Linear Technology Corporation
Business Acquisition [Line Items]
Deferred revenue on shipments to distributors, gross	$ 89.5
Deferred revenue on shipments to distributors, cost of sales	$ 45.9