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Earnings Per Share - Computation (Details) - USD ($)
$ / shares in Units, shares in Millions, $ in Millions
3 Months Ended
Mar. 31, 2016
Mar. 31, 2015
Earnings Per Share    
Net income attributable to Bruker Corporation, as reported -basic $ 23.6 $ 6.5
Net income attributable to Bruker Corporation, as reported -diluted $ 23.6 $ 6.5
Weighted average shares outstanding:    
Weighted average shares outstanding-basic 163.3 168.3
Effect of dilutive securities:    
Stock options and restricted stock units (in shares) 1.0 1.4
Weighted average shares outstanding-diluted 164.3 169.7
Net income per common share attributable to Bruker Corporation shareholders:    
Basic and diluted (in dollars per share) $ 0.14 $ 0.04