Earnings Per Share - Computation (Details) - USD ($) $ / shares in Units, shares in Millions, $ in Millions	3 Months Ended
	Mar. 31, 2021	Mar. 31, 2020
Earnings Per Share
Net income attributable to Bruker Corporation, as reported	$ 56.7	$ 10.5
Weighted average shares outstanding:
Weighted average shares outstanding-basic	151.8	154.2
Effect of dilutive securities:
Stock options and restricted stock awards and units (in shares)	1.4	1.2
Weighted-average number of common shares used in computing diluted net income per common share	153.2	155.4
Net income per common share attributable to Bruker Corporation shareholders:
Basic (in dollars per share)	$ 0.37	$ 0.07
Diluted (in dollars per share)	$ 0.37	$ 0.07