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Acquisitions - Narrative (Details)
$ / shares in Units, $ in Millions
3 Months Ended 9 Months Ended 12 Months Ended
Mar. 10, 2017
$ / shares
Apr. 29, 2017
USD ($)
Jul. 29, 2017
USD ($)
Oct. 28, 2017
USD ($)
Business Acquisition [Line Items]        
Acquisition related costs       $ 69.5
Linear Technology Corporation [Member]        
Business Acquisition [Line Items]        
Revenue of acquiree since acquisition date     $ 913.2  
Goodwill, purchase accounting adjustments, increase (decrease)   $ (52.1)    
Inventory adjustment, increase (decrease)   23.8    
Property, plant, and equipment, adjustment, increase (decrease)   0.7    
Intangibles, adjustment, increase (decrease)   12.2    
Accounts receivable, adjustment, increase (decrease)   (0.3)    
Liabilities, adjustment, increase (decrease)   2.8    
Deferred tax liabilities, adjustment, increase (decrease)   $ 18.4    
Common Stock [Member] | Linear Technology Corporation [Member]        
Business Acquisition [Line Items]        
Business acquisition, share price | $ / shares $ 46      
Interests issued conversion ratio per share 0.2321