Business Acquisitions, Goodwill and Acquired Intangible Assets (Goodwill) (Details) - USD ($) $ in Millions	12 Months Ended
	Dec. 30, 2018	Dec. 31, 2017
Goodwill [Roll Forward]
Goodwill, beginning balance	$ 1,776.7	$ 1,193.5
Current year acquisitions	1.8	504.8
Foreign currency changes		78.4
Foreign currency changes and other	(43.3)
Goodwill, ending balance	1,735.2	1,776.7
Instrumentation
Goodwill [Roll Forward]
Goodwill, beginning balance	756.4	713.3
Current year acquisitions	1.8	25.8
Foreign currency changes		17.3
Foreign currency changes and other	(3.5)
Goodwill, ending balance	754.7	756.4
Digital Imaging
Goodwill [Roll Forward]
Goodwill, beginning balance	815.6	317.4
Current year acquisitions	0.0	441.3
Foreign currency changes		56.9
Foreign currency changes and other	(5.9)
Goodwill, ending balance	809.7	815.6
Aerospace and Defense Electronics
Goodwill [Roll Forward]
Goodwill, beginning balance	182.0	139.4
Current year acquisitions	0.0	37.7
Foreign currency changes		4.9
Foreign currency changes and other	(33.5)
Goodwill, ending balance	148.5	182.0
Engineered Systems
Goodwill [Roll Forward]
Goodwill, beginning balance	22.7	23.4
Current year acquisitions	0.0	0.0
Foreign currency changes		(0.7)
Foreign currency changes and other	(0.4)
Goodwill, ending balance	$ 22.3	$ 22.7