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Acquisitions - Pro Forma Financial Information (Details) - Linear Technology Corporation [Member]
$ / shares in Units, $ in Thousands
12 Months Ended
Oct. 28, 2017
USD ($)
$ / shares
Business Acquisition [Line Items]  
Revenue | $ $ 5,832,412
Net income | $ $ 1,133,097
Basic net income per common share | $ / shares $ 3.07
Diluted net income per common share | $ / shares $ 3.03