Earnings Per Share - Computation of basic and diluted weighted average shares outstanding and net income per common share (Details) - USD ($) $ / shares in Units, $ in Millions	12 Months Ended
	Dec. 31, 2023	Dec. 31, 2022	Dec. 31, 2021
Earnings Per Share [Abstract]
Net income attributable to Bruker Corporation	$ 427.2	$ 296.6	$ 277.1
Weighted average common shares outstanding:
Weighted average common shares outstanding - basic	146.4	148.6	151.4
Effect of dilutive securities:
Stock options, restricted stock awards, restricted stock units and ESPP	0.8	0.8	1.5
Weighted average common shares outstanding - diluted	147.2	149.4	152.9
Net income per common share attributable to Bruker Corporation shareholders:
Basic	$ 2.92	$ 2	$ 1.83
Diluted	$ 2.9	$ 1.99	$ 1.81