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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, 2017
Sep. 30, 2016
Sep. 30, 2017
Sep. 30, 2016
Earnings Per Share        
Net income attributable to Bruker Corporation, as reported -basic $ 37.0 $ 46.5 $ 82.0 $ 84.6
Net income attributable to Bruker Corporation, as reported -diluted $ 37.0 $ 46.5 $ 82.0 $ 84.6
Weighted average shares outstanding:        
Weighted average shares outstanding-basic 157.5 160.8 158.9 161.8
Effect of dilutive securities:        
Stock options and restricted stock (in shares) 1.2 0.7 1.0 0.9
Weighted average shares outstanding-diluted 158.7 161.5 159.9 162.7
Net income per common share attributable to Bruker Corporation shareholders:        
Basic (in dollars per share) $ 0.23 $ 0.29 $ 0.52 $ 0.52
Diluted (in dollars per share) $ 0.23 $ 0.29 $ 0.51 $ 0.52