Goodwill And Intangible Assets (Schedule Of Changes To Goodwill) (Details) (USD $) In Millions, unless otherwise specified	12 Months Ended
Jan. 03, 2015	Dec. 28, 2013	Dec. 29, 2012
Goodwill [Line Items]
Goodwill, beginning balance	$ 1,081.9us-gaap_Goodwill	$ 1,151.0us-gaap_Goodwill
Acquisitions and valuation adjustments	54.5us-gaap_GoodwillAcquiredDuringPeriod	15.3us-gaap_GoodwillAcquiredDuringPeriod
Less: Impairment charges	119.5us-gaap_GoodwillImpairmentLoss	76.3us-gaap_GoodwillImpairmentLoss	0us-gaap_GoodwillImpairmentLoss
Translation adjustments	(12.9)us-gaap_GoodwillTranslationAdjustments	(8.1)us-gaap_GoodwillTranslationAdjustments
Goodwill, ending balance	1,004.0us-gaap_Goodwill	1,081.9us-gaap_Goodwill	1,151.0us-gaap_Goodwill
Goodwill, Impaired, Accumulated Impairment Loss	195.8
Acquisitions	28.1
Commercial and Industrial Systems [Domain]
Goodwill [Line Items]
Goodwill, beginning balance	703.2	759.4
Acquisitions and valuation adjustments	54.5	15.3
Less: Impairment charges	100.7	64.2
Translation adjustments	(11.6)	(7.3)
Goodwill, ending balance	645.4	703.2
Goodwill, Impaired, Accumulated Impairment Loss	164.9
Impairment Charges		17.0
Climate Solutions [Domain]
Goodwill [Line Items]
Goodwill, beginning balance	353.6	354.4
Acquisitions and valuation adjustments	0	0
Less: Impairment charges	7.7	0
Translation adjustments	(1.3)	(0.8)
Goodwill, ending balance	344.6	353.6
Goodwill, Impaired, Accumulated Impairment Loss	7.7
Power Transmission Solutions [Domain]
Goodwill [Line Items]
Goodwill, beginning balance	25.1	37.2
Acquisitions and valuation adjustments	0		0
Less: Impairment charges	11.1	12.1	12.1
Translation adjustments	0	0
Goodwill, ending balance	14.0	25.1	37.2
Goodwill, Impaired, Accumulated Impairment Loss	23.2
Impairment Charges	11.1
Technology [Member]
Goodwill [Line Items]
Less: Impairment charges	1.0
Impairment Charges	7.8	16.2
Acquisitions	5.2
Technology [Member] \| Commercial and Industrial Systems [Domain]
Goodwill [Line Items]
Impairment Charges		16.2
Technology [Member] \| Power Transmission Solutions [Domain]
Goodwill [Line Items]
Impairment Charges		$ 0

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 increase (decrease) from foreign currency translation adjustments 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 increase in assets, excluding financial assets and goodwill, lacking physical substance with an indefinite life, resulting from a business combination.

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