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Special Charges and Other, Net Restructuring (Details) - USD ($)
$ in Millions
 3 Months Ended 51 Months Ended
Jun. 30, 2018
Sep. 30, 2017
Jun. 30, 2017
Jun. 30, 2018
Restructuring Cost and Reserve [Line Items]        
Employee separation costs $ 45.1      
Contract exit costs $ (7.0)   $ 0.6  
Supply commitment, period 10 years      
Gain on sale of assets $ 0.0   4.4  
Restructuring Reserve [Roll Forward]        
Restructuring reserve, beginning balance 47.2      
Charges/income 22.2      
Payments (4.9)      
Non-cash - Other 0.5      
Restructuring reserve, ending balance $ 83.0     $ 83.0
Contract Termination        
Restructuring Cost and Reserve [Line Items]        
Incurred cost   $ 19.5    
Contract termination fee, period 5 years      
Employee Severance        
Restructuring Reserve [Roll Forward]        
Restructuring reserve, beginning balance $ 0.8      
Charges/income 29.2      
Payments (2.1)      
Non-cash - Other 0.0      
Restructuring reserve, ending balance 39.3     39.3
Exit Costs        
Restructuring Reserve [Roll Forward]        
Restructuring reserve, beginning balance 27.3      
Charges/income (7.0)      
Payments (2.1)      
Non-cash - Other 0.3      
Restructuring reserve, ending balance 25.1     25.1
Other Restructuring        
Restructuring Reserve [Roll Forward]        
Restructuring reserve, beginning balance 19.1      
Charges/income 0.0      
Payments (0.7)      
Non-cash - Other 0.2      
Restructuring reserve, ending balance 18.6     18.6
Accrued Liabilities        
Restructuring Reserve [Roll Forward]        
Current 55.6     55.6
Other Noncurrent Liabilities        
Restructuring Reserve [Roll Forward]        
Non-current 27.4     27.4
Microsemi Corporation        
Restructuring Reserve [Roll Forward]        
Additions due to Microsemi acquisition 18.0      
Microsemi Corporation | Employee Severance        
Restructuring Reserve [Roll Forward]        
Additions due to Microsemi acquisition 11.4      
Microsemi Corporation | Exit Costs        
Restructuring Reserve [Roll Forward]        
Additions due to Microsemi acquisition 6.6      
Microsemi Corporation | Other Restructuring        
Restructuring Reserve [Roll Forward]        
Additions due to Microsemi acquisition 0.0      
Micrel Incorporated        
Restructuring Cost and Reserve [Line Items]        
Proceeds from sale of property, plant, and equipment     10.0  
Semiconductor products        
Restructuring Cost and Reserve [Line Items]        
Employee separation costs 45.1   1.1 95.0
Contract exit costs (7.0)   0.6 38.5
San Jose Facility | Micrel Incorporated        
Restructuring Cost and Reserve [Line Items]        
Gain on sale of assets     $ 4.4  
Minimum        
Restructuring Cost and Reserve [Line Items]        
Expected cost remaining 25.0     25.0
Maximum        
Restructuring Cost and Reserve [Line Items]        
Expected cost remaining $ 75.0     $ 75.0