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Segments (Revenue by product) (Details)
$ in Millions
3 Months Ended 6 Months Ended
Jun. 30, 2017
USD ($)
Jun. 30, 2016
USD ($)
Jun. 30, 2017
USD ($)
segment
Jun. 30, 2016
USD ($)
Segment Reporting Information [Line Items]        
Number of reportable segments | segment     1  
Product $ 917.2 $ 862.1 $ 1,746.1 $ 1,615.1
Service 391.7 359.2 783.8 704.1
Total net revenues 1,308.9 1,221.3 2,529.9 2,319.2
Routing [Member]        
Segment Reporting Information [Line Items]        
Product 572.5 574.7 1,094.1 1,078.8
Switching [Member]        
Segment Reporting Information [Line Items]        
Product 276.0 209.2 517.6 384.7
Security [Member]        
Segment Reporting Information [Line Items]        
Product 68.7 78.2 134.4 151.6
Total product [Member]        
Segment Reporting Information [Line Items]        
Product 917.2 862.1 1,746.1 1,615.1
Total service [Member]        
Segment Reporting Information [Line Items]        
Service $ 391.7 $ 359.2 $ 783.8 $ 704.1