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Acquisition and Divestitures - Narrative (Details) - USD ($)
shares in Millions, $ in Millions
6 Months Ended
Jan. 15, 2016
Apr. 03, 2016
Business Acquisition [Line Items]    
Acquisition and divestiture costs   $ 28.3
PMC-SIERRA INC.    
Business Acquisition [Line Items]    
Cost of good sold   $ 66.2
Cash consideration $ 2,000.0  
Termination fee 88.5  
Gross contractual amount of acquired accounts receivable 53.3  
Asset Amount 745.6  
PMC-SIERRA INC. | Completed technology    
Business Acquisition [Line Items]    
Asset Amount $ 447.0  
Weighted Average Useful Life (Years) 6 years  
PMC-SIERRA INC. | Customer relationships    
Business Acquisition [Line Items]    
Asset Amount $ 46.0  
Weighted Average Useful Life (Years) 9 years  
PMC-SIERRA INC. | Other    
Business Acquisition [Line Items]    
Asset Amount $ 11.6  
Weighted Average Useful Life (Years) 1 year  
PMC-SIERRA INC. | Common Stock    
Business Acquisition [Line Items]    
Number of shares issued in acquisition 16.0  
In-process research and development | PMC-SIERRA INC.    
Business Acquisition [Line Items]    
Asset Amount $ 241.0  
Weighted Average Useful Life (Years) 0 years