Accounting Policies (Narrative) (Details)	3 Months Ended			12 Months Ended
	Jan. 02, 2016 USD ($)	Apr. 04, 2015 USD ($) VEF / $	Jan. 03, 2015 USD ($) VEF / $	Dec. 31, 2016 USD ($) Rate	Jan. 02, 2016 USD ($) unit	Jan. 03, 2015 USD ($) VEF / $
Property, Plant and Equipment [Line Items]
Loss on Venezuela Currency Devaluation				$ 0	$ 1,500,000	$ 10,400,000
Research and development costs				29,500,000	30,100,000	32,900,000
Commitments for purchases of property, plant, and equipment				6,600,000
Goodwill	$ 1,465,600,000		$ 1,004,000,000	1,453,200,000	1,465,600,000	1,004,000,000
Goodwill Impairment	79,900,000			$ 0	79,900,000	119,500,000
Percentage of fair value in excess of carrying value | Rate				2.00%
Impairment of Intangible Assets					0	18,900,000
Retirement plan, reduction of expense				$ 2,900,000
Technology
Property, Plant and Equipment [Line Items]
Goodwill Impairment						1,000,000
Power Transmission Solutions
Property, Plant and Equipment [Line Items]
Goodwill	575,100,000		14,000,000	$ 570,800,000	575,100,000	14,000,000
Goodwill Impairment					0
Percentage of fair value in excess of carrying value				2.00%
Impairment of Intangible Assets						11,100,000
Commercial and Industrial Systems
Property, Plant and Equipment [Line Items]
Goodwill	547,700,000		645,400,000	$ 540,600,000	547,700,000	645,400,000
Goodwill Impairment					$ 79,900,000
Impairment of Intangible Assets						0
Climate Solutions and Power Transmission Solutions [Member]
Property, Plant and Equipment [Line Items]
Number of reporting units | unit					2
Goodwill Impairment [Member]
Property, Plant and Equipment [Line Items]
Goodwill Impairment					$ 79,900,000	119,500,000
Asset Impairments and Other, Net [Member] | Hydraulic Fracturing Equipment [Member]
Property, Plant and Equipment [Line Items]
Impairment of Intangible Assets						26,200,000
Asset Impairments and Other, Net [Member] | Hermetic Climate Applications [Member]
Property, Plant and Equipment [Line Items]
Impairment of Intangible Assets						$ 13,800,000
VENEZUELA
Property, Plant and Equipment [Line Items]
Loss on Venezuelan asset write down	$ 12,800,000
SIMADI [Member] | VENEZUELA
Property, Plant and Equipment [Line Items]
Loss on Venezuela Currency Devaluation		$ 1,500,000
SIMADI [Member] | VENEZUELA | Venezuelan bolívar fuerte
Property, Plant and Equipment [Line Items]
Exchange rate translation | VEF / $		193
SICAD2 [Member] | VENEZUELA
Property, Plant and Equipment [Line Items]
Loss on Venezuela Currency Devaluation			$ 10,400,000
SICAD2 [Member] | VENEZUELA | Venezuelan bolívar fuerte
Property, Plant and Equipment [Line Items]
Exchange rate translation | VEF / $			51.0			51.0