Segment Information (Schedule of Identifiable Assets) (Details) - USD ($) $ in Millions	Dec. 31, 2022	Jan. 01, 2022
Segment Reporting Information [Line Items]
Identifiable assets	$ 10,268.9	$ 10,367.4
Commercial Systems
Segment Reporting Information [Line Items]
Identifiable assets	1,253.5	1,264.0
Industrial Systems
Segment Reporting Information [Line Items]
Identifiable assets	886.0	859.9
Climate Solutions
Segment Reporting Information [Line Items]
Identifiable assets	980.6	982.7
Motion Control Solutions
Segment Reporting Information [Line Items]
Identifiable assets	$ 7,148.8	$ 7,260.8