Segment Information - Identifiable Assets (Details) - USD ($) $ in Millions	Jul. 03, 2022	Jan. 02, 2022
Segment Reporting Information [Line Items]
Identifiable assets	$ 14,047.5	$ 14,430.3
Operating segments | Digital Imaging
Segment Reporting Information [Line Items]
Identifiable assets	11,308.9	11,756.8
Operating segments | Instrumentation
Segment Reporting Information [Line Items]
Identifiable assets	1,609.7	1,640.3
Operating segments | Aerospace and Defense Electronics
Segment Reporting Information [Line Items]
Identifiable assets	530.1	536.3
Operating segments | Engineered Systems
Segment Reporting Information [Line Items]
Identifiable assets	190.6	179.2
Corporate
Segment Reporting Information [Line Items]
Identifiable assets	$ 408.2	$ 317.7