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Earnings Per Share - Computation (Details) - USD ($)
$ / shares in Units, shares in Millions, $ in Millions
3 Months Ended 9 Months Ended
Sep. 30, 2016
Sep. 30, 2015
Sep. 30, 2016
Sep. 30, 2015
Earnings Per Share        
Net income attributable to Bruker Corporation, as reported -basic $ 46.5 $ 11.8 $ 84.6 $ 40.2
Net income attributable to Bruker Corporation, as reported -diluted $ 46.5 $ 11.8 $ 84.6 $ 40.2
Weighted average shares outstanding:        
Weighted average shares outstanding-basic 160.8 167.8 161.8 168.2
Effect of dilutive securities:        
Stock options and restricted stock units (in shares) 0.7 0.9 0.9 0.9
Weighted average shares outstanding-diluted 161.5 168.7 162.7 169.1
Net income per common share attributable to Bruker Corporation shareholders:        
Basic and diluted (in dollars per share) $ 0.29 $ 0.07 $ 0.52 $ 0.24