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Segments (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Dec. 31, 2015
Sep. 30, 2015
Jun. 30, 2015
Mar. 31, 2015
Dec. 31, 2014
Sep. 30, 2014
Jun. 30, 2014
Mar. 31, 2014
Dec. 31, 2015
Dec. 31, 2014
Dec. 31, 2013
Net Revenues [Abstract]                      
Total net revenues $ 1,319.6 $ 1,248.6 $ 1,222.2 $ 1,067.4 $ 1,101.6 $ 1,125.9 $ 1,229.5 $ 1,170.1 $ 4,857.8 $ 4,627.1 $ 4,669.1
Routing [Member]                      
Net Revenues [Abstract]                      
Total net revenues                 2,359.2 2,223.9 2,318.0
Switching [Member]                      
Net Revenues [Abstract]                      
Total net revenues                 768.3 721.2 638.0
Security [Member]                      
Net Revenues [Abstract]                      
Total net revenues                 435.6 463.6 563.9
Total product [Member]                      
Net Revenues [Abstract]                      
Total net revenues                 3,563.1 3,408.7 3,519.9
Total service [Member]                      
Net Revenues [Abstract]                      
Total net revenues                 $ 1,294.7 $ 1,218.4 $ 1,149.2