Earnings Per Share - Computation (Details) - USD ($) $ / shares in Units, shares in Millions, $ in Millions	3 Months Ended		9 Months Ended
	Sep. 30, 2020	Sep. 30, 2019	Sep. 30, 2020	Sep. 30, 2019
Earnings Per Share
Redemption value adjustment of the redeemable noncontrolling interest			$ 0.0	$ 0.0
Net income attributable to Bruker Corporation, as reported -basic	$ 54.3	$ 61.3	$ 88.9	$ 128.6
Weighted average shares outstanding:
Weighted average shares outstanding-basic	153.2	154.2	153.7	155.7
Effect of dilutive securities:
Stock options and restricted stock awards and units (in shares)	1.1	1.4	1.1	1.3
Weighted-average number of common shares used in computing diluted net income per common share	154.3	155.6	154.8	157.0
Net income per common share attributable to Bruker Corporation shareholders:
Basic (in dollars per share)	$ 0.35	$ 0.40	$ 0.58	$ 0.83
Diluted (in dollars per share)	$ 0.35	$ 0.39	$ 0.57	$ 0.82