Goodwill and Intangible Assets (Schedule of Changes To Goodwill) (Details) - USD ($) $ in Millions	12 Months Ended
Dec. 29, 2018	Dec. 30, 2017	Dec. 31, 2016
Goodwill [Roll Forward]
Goodwill, beginning balance	$ 1,477.1	$ 1,453.2
Acquisitions	58.7
Less: Impairment charges	(9.5)	0.0	$ 0.0
Less: Held for Sale	(1.3)
Translation Adjustments	(15.8)	23.9
Goodwill, ending balance	1,509.2	1,477.1	1,453.2
Cumulative Goodwill Impairment Charges	285.2
Commercial and Industrial Systems
Goodwill [Roll Forward]
Goodwill, beginning balance	548.8	540.6
Acquisitions	58.7
Less: Impairment charges	0.0
Less: Held for Sale	0.0
Translation Adjustments	(8.6)	8.2
Goodwill, ending balance	598.9	548.8	540.6
Cumulative Goodwill Impairment Charges	244.8
Climate Solutions
Goodwill [Roll Forward]
Goodwill, beginning balance	342.4	341.8
Acquisitions	0.0
Less: Impairment charges	(9.5)
Less: Held for Sale	(1.3)
Translation Adjustments	(1.0)	0.6
Goodwill, ending balance	330.6	342.4	341.8
Cumulative Goodwill Impairment Charges	17.2
Power Transmission Solutions
Goodwill [Roll Forward]
Goodwill, beginning balance	585.9	570.8
Acquisitions	0.0
Less: Impairment charges	0.0
Less: Held for Sale	0.0
Translation Adjustments	(6.2)	15.1
Goodwill, ending balance	579.7	$ 585.9	$ 570.8
Cumulative Goodwill Impairment Charges	$ 23.2

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Goodwill, Held-for-sale

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Amount after accumulated impairment loss of an asset representing future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized.

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Amount of foreign currency translation gain (loss) which increases (decreases) an asset representing future economic benefits from other assets acquired in a business combination that are not individually identified and separately recognized.

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Amount of accumulated impairment loss for an asset representing future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized.

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Amount of loss from the write-down of an asset representing the future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized.

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A roll forward is a reconciliation of a concept from the beginning of a period to the end of a period.

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