Segment Information - Identifiable Assets (Details) - USD ($) $ in Millions	Oct. 02, 2022	Jan. 02, 2022
Segment Reporting Information [Line Items]
Identifiable assets	$ 13,826.4	$ 14,430.3
Operating segments | Digital Imaging
Segment Reporting Information [Line Items]
Identifiable assets	10,973.1	11,756.8
Operating segments | Instrumentation
Segment Reporting Information [Line Items]
Identifiable assets	1,579.3	1,640.3
Operating segments | Aerospace and Defense Electronics
Segment Reporting Information [Line Items]
Identifiable assets	528.5	536.3
Operating segments | Engineered Systems
Segment Reporting Information [Line Items]
Identifiable assets	195.7	179.2
Corporate
Segment Reporting Information [Line Items]
Identifiable assets	$ 549.8	$ 317.7