Segment Information - Identifiable Assets (Details) - USD ($) $ in Millions	Apr. 03, 2022	Jan. 02, 2022
Segment Reporting Information [Line Items]
Identifiable assets	$ 14,251.1	$ 14,430.3
Operating segments | Digital Imaging
Segment Reporting Information [Line Items]
Identifiable assets	11,587.1	11,756.8
Operating segments | Instrumentation
Segment Reporting Information [Line Items]
Identifiable assets	1,634.2	1,640.3
Operating segments | Aerospace and Defense Electronics
Segment Reporting Information [Line Items]
Identifiable assets	528.9	536.3
Operating segments | Engineered Systems
Segment Reporting Information [Line Items]
Identifiable assets	184.3	179.2
Corporate
Segment Reporting Information [Line Items]
Identifiable assets	$ 316.6	$ 317.7