Goodwill (Goodwill by Segment) (Details) - USD ($) $ in Millions	Jun. 29, 2018	Dec. 31, 2017
Goodwill [Line Items]
Total goodwill	$ 25,916.5	$ 25,138.6
Operating segments | Life Sciences
Goodwill [Line Items]
Total goodwill	13,283.7	12,335.5
Operating segments | Diagnostics
Goodwill [Line Items]
Total goodwill	6,984.6	7,079.5
Operating segments | Dental
Goodwill [Line Items]
Total goodwill	3,343.7	3,370.0
Operating segments | Environmental & Applied Solutions
Goodwill [Line Items]
Total goodwill	$ 2,304.5	$ 2,353.6