Business Acquisitions, Goodwill and Acquired Intangible Assets (Goodwill) (Details) - USD ($) $ in Millions	12 Months Ended
	Dec. 29, 2019	Dec. 30, 2018
Goodwill [Roll Forward]
Goodwill, beginning balance	$ 1,735.2	$ 1,776.7
Current year acquisitions	304.9	1.8
Foreign currency changes and other	10.4	(43.3)
Goodwill, ending balance	2,050.5	1,735.2
Instrumentation
Goodwill [Roll Forward]
Goodwill, beginning balance	754.7	756.4
Current year acquisitions	147.7	1.8
Foreign currency changes and other	3.5	(3.5)
Goodwill, ending balance	905.9	754.7
Digital Imaging
Goodwill [Roll Forward]
Goodwill, beginning balance	809.7	815.6
Current year acquisitions	157.2	0.0
Foreign currency changes and other	(4.2)	(5.9)
Goodwill, ending balance	962.7	809.7
Aerospace and Defense Electronics
Goodwill [Roll Forward]
Goodwill, beginning balance	148.5	182.0
Current year acquisitions	0.0	0.0
Foreign currency changes and other	15.8	(33.5)
Goodwill, ending balance	164.3	148.5
Engineered Systems
Goodwill [Roll Forward]
Goodwill, beginning balance	22.3	22.7
Current year acquisitions	0.0	0.0
Foreign currency changes and other	(4.7)	(0.4)
Goodwill, ending balance	$ 17.6	$ 22.3