Goodwill and Intangible Assets (Schedule of Changes To Goodwill) (Details) - USD ($) $ in Millions	12 Months Ended
Dec. 28, 2019	Dec. 29, 2018	Dec. 30, 2017
Goodwill [Roll Forward]
Goodwill, beginning balance	$ 1,509.2	$ 1,477.1
Acquisitions		58.7
Divestiture	(2.8)
Less: Impairment charges	0.0	(9.5)	$ 0.0
Less: Held for Sale		(1.3)
Translation Adjustments	(5.1)	(15.8)
Goodwill, ending balance	1,501.3	1,509.2	1,477.1
Cumulative Goodwill Impairment Charges	285.2
Commercial Systems
Goodwill [Roll Forward]
Goodwill, beginning balance	427.4	375.0
Acquisitions		58.7
Divestiture	0.0
Less: Impairment charges		0.0
Less: Held for Sale		0.0
Translation Adjustments	(0.8)	(6.3)
Goodwill, ending balance	426.6	427.4	375.0
Cumulative Goodwill Impairment Charges	183.2
Industrial Systems
Goodwill [Roll Forward]
Goodwill, beginning balance	171.5	173.8
Acquisitions		0.0
Divestiture	0.0
Less: Impairment charges		0.0
Less: Held for Sale		0.0
Translation Adjustments	(0.7)	(2.3)
Goodwill, ending balance	170.8	171.5	173.8
Cumulative Goodwill Impairment Charges	61.6
Climate Solutions
Goodwill [Roll Forward]
Goodwill, beginning balance	330.6	342.4
Acquisitions		0.0
Divestiture	0.0
Less: Impairment charges		(9.5)
Less: Held for Sale		(1.3)
Translation Adjustments	0.6	(1.0)
Goodwill, ending balance	331.2	330.6	342.4
Cumulative Goodwill Impairment Charges	17.2
Power Transmission Solutions
Goodwill [Roll Forward]
Goodwill, beginning balance	579.7	585.9
Acquisitions		0.0
Divestiture	(2.8)
Less: Impairment charges		0.0
Less: Held for Sale		0.0
Translation Adjustments	(4.2)	(6.2)
Goodwill, ending balance	572.7	$ 579.7	$ 585.9
Cumulative Goodwill Impairment Charges	$ 23.2

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