Goodwill (Goodwill by Segment) (Details) - USD ($) $ in Millions	Mar. 30, 2018	Dec. 31, 2017
Goodwill [Line Items]
Total goodwill	$ 25,437.9	$ 25,138.6
Operating segments | Life Sciences
Goodwill [Line Items]
Total goodwill	12,531.2	12,335.5
Operating segments | Diagnostics
Goodwill [Line Items]
Total goodwill	7,120.3	7,079.5
Operating segments | Dental
Goodwill [Line Items]
Total goodwill	3,413.4	3,370.0
Operating segments | Environmental & Applied Solutions
Goodwill [Line Items]
Total goodwill	$ 2,373.0	$ 2,353.6