Summary of Significant Accounting Policies - Earnings Per Share (Details) - USD ($) $ / shares in Units, shares in Millions, $ in Millions	3 Months Ended								12 Months Ended
	Dec. 31, 2019	Sep. 30, 2019	Jun. 30, 2019	Mar. 31, 2019	Dec. 31, 2018	Sep. 30, 2018	Jun. 30, 2018	Mar. 31, 2018	Dec. 31, 2019	Dec. 31, 2018	Dec. 31, 2017
Summary of Significant Accounting Policies
Redemption value adjustment									$ 0.0	$ 0.0	$ 0.0
Net income (loss) per common share attributable to Bruker Corporation shareholders:
Net income attributable to Bruker Corporation, as reported -basic									$ 197.2	$ 179.7	$ 78.6
Weighted average shares outstanding:
Weighted average shares outstanding-basic									155.2	156.2	158.1
Effect of dilutive securities:
Stock options and restricted stock awards and units (in shares)									1.4	1.0	1.0
Weighted average shares outstanding-diluted									156.6	157.2	159.1
Net income per common share attributable to Bruker Corporation shareholders:
Basic (in dollars per share)	$ 0.45	$ 0.40	$ 0.23	$ 0.20	$ 0.50	$ 0.28	$ 0.20	$ 0.17	$ 1.27	$ 1.15	$ 0.50
Diluted (in dollars per share)	$ 0.44	$ 0.39	$ 0.23	$ 0.20	$ 0.50	$ 0.28	$ 0.20	$ 0.17	$ 1.26	$ 1.14	$ 0.49