Goodwill and Other Intangible Assets, Goodwill by Segment (Details) - USD ($) $ in Millions	3 Months Ended
	Mar. 31, 2020	Mar. 31, 2019
Goodwill [Roll Forward]
Balance at beginning of period	$ 1,287.7
Acquisitions	4,278.2
Foreign currency translation and other	(62.5)
Balance at end of period	5,503.4
Goodwill impairment charges	0.0	$ 0.0
Industrial Technologies and Services [Member]
Goodwill [Roll Forward]
Balance at beginning of period	865.4
Acquisitions	3,020.7
Foreign currency translation and other	(52.0)
Balance at end of period	3,834.1
Accumulated goodwill impairment losses	220.6
Precision and Science Technologies [Member]
Goodwill [Roll Forward]
Balance at beginning of period	227.5
Acquisitions	839.3
Foreign currency translation and other	(7.9)
Balance at end of period	1,058.9
High Pressure Solutions [Member]
Goodwill [Roll Forward]
Balance at beginning of period	194.8
Acquisitions	0.0
Foreign currency translation and other	0.0
Balance at end of period	194.8
Accumulated goodwill impairment losses	343.3
Specialty Vehicle Technologies [Member]
Goodwill [Roll Forward]
Balance at beginning of period	0.0
Acquisitions	418.2
Foreign currency translation and other	(2.6)
Balance at end of period	$ 415.6