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Segment Information (Schedule of Identifiable Assets) (Details) - USD ($)
$ in Millions
Jan. 01, 2022
Jan. 02, 2021
Segment Reporting Information [Line Items]    
Identifiable assets $ 10,281.6 $ 4,589.0
Commercial Systems    
Segment Reporting Information [Line Items]    
Identifiable assets 1,229.1 1,319.6
Industrial Systems    
Segment Reporting Information [Line Items]    
Identifiable assets 832.6 837.5
Climate Solutions    
Segment Reporting Information [Line Items]    
Identifiable assets 971.6 890.4
Motion Control Solutions    
Segment Reporting Information [Line Items]    
Identifiable assets $ 7,248.3 $ 1,541.5