Earnings Per Share - Computation (Details) - USD ($) $ / shares in Units, shares in Millions, $ in Millions	3 Months Ended		6 Months Ended
	Jun. 30, 2021	Jun. 30, 2020	Jun. 30, 2021	Jun. 30, 2020
Earnings Per Share
Net income attributable to Bruker Corporation, as reported	$ 57.6	$ 24.1	$ 114.3	$ 34.6
Weighted average shares outstanding:
Weighted average shares outstanding-basic	151.3	153.6	151.6	153.9
Effect of dilutive securities:
Stock options and restricted stock awards and units (in shares)	1.6	1.1	1.4	1.2
Weighted-average number of common shares used in computing diluted net income per common share	152.9	154.7	153.0	155.1
Net income per common share attributable to Bruker Corporation shareholders:
Basic (in dollars per share)	$ 0.38	$ 0.16	$ 0.75	$ 0.22
Diluted (in dollars per share)	$ 0.38	$ 0.16	$ 0.75	$ 0.22