Segment Information (Schedule of Financial Information Attributable To The Reporting Segments) (Details) - USD ($) $ in Millions	3 Months Ended								12 Months Ended
	Dec. 31, 2016	Oct. 01, 2016	Jul. 02, 2016	Apr. 02, 2016	Jan. 02, 2016	Oct. 03, 2015	Jul. 04, 2015	Apr. 04, 2015	Dec. 31, 2016	Jan. 02, 2016	Jan. 03, 2015
Segment Reporting Information [Line Items]
Net Sales	$ 758.1	$ 809.6	$ 838.6	$ 818.2	$ 773.5	$ 882.3	$ 942.2	$ 911.7	$ 3,224.5	$ 3,509.7	$ 3,257.1
Gross Profit	193.2	231.7	222.9	217.4	219.8	241.1	251.4	220.9	865.2	933.2	797.3
Operating Expenses									544.6	600.5	516.3
Goodwill Impairment					79.9				0.0	79.9	119.5
Asset Impairments									0.0	0.0	40.0
Income from Operations	70.1	89.8	91.4	69.3	(14.1)	100.1	103.2	63.6	320.6	252.8	121.5
Depreciation and Amortization									155.4	159.4	138.7
Capital Expenditures									65.2	92.2	83.6
Identifiable Assets	4,358.5				4,591.7				4,358.5	4,591.7	3,357.2
Commercial and Industrial Systems
Segment Reporting Information [Line Items]
Net Sales	369.2	389.4	394.7	377.6	370.7	426.8	441.0	456.4	1,530.9	1,694.9	1,856.1
Goodwill Impairment										79.9
Asset Impairments											0.0
Income from Operations	20.5	36.2	25.1	21.7	(59.7)	38.8	41.5	33.3
Climate Solutions
Segment Reporting Information [Line Items]
Net Sales	215.2	250.5	254.5	239.8	210.3	264.4	286.1	280.4	960.0	1,041.2	1,134.8
Goodwill Impairment										0.0
Asset Impairments											13.8
Income from Operations	27.0	42.2	36.1	24.6	28.9	40.7	43.7	33.4
Power Transmission Solutions
Segment Reporting Information [Line Items]
Net Sales	173.7	169.7	189.4	200.8	192.5	191.1	215.1	174.9	733.6	773.6	266.2
Goodwill Impairment										0.0
Asset Impairments											26.2
Income from Operations	22.6	$ 11.4	$ 30.2	$ 23.0	16.7	$ 20.6	$ 18.0	$ (3.1)
Operating Segments [Member] | Commercial and Industrial Systems
Segment Reporting Information [Line Items]
Net Sales									1,580.1	1,766.1	1,934.3
Gross Profit									379.2	441.1	468.2
Operating Expenses									275.7	307.2	333.9
Goodwill Impairment										79.9	100.7
Asset Impairments											0.0
Income from Operations									103.5	54.0	33.6
Depreciation and Amortization									74.7	77.5	81.5
Capital Expenditures									36.6	52.3	59.6
Identifiable Assets	1,872.7				1,959.5				1,872.7	1,959.5	2,371.7
Operating Segments [Member] | Climate Solutions
Segment Reporting Information [Line Items]
Net Sales									984.1	1,065.3	1,154.0
Gross Profit									245.1	262.2	258.8
Operating Expenses									115.2	115.6	137.7
Goodwill Impairment										0.0	7.7
Asset Impairments											13.8
Income from Operations									129.9	146.6	99.6
Depreciation and Amortization									24.4	28.6	45.0
Capital Expenditures									15.0	18.5	16.8
Identifiable Assets	881.8				937.2				881.8	937.2	842.6
Operating Segments [Member] | Power Transmission Solutions
Segment Reporting Information [Line Items]
Net Sales									737.9	777.6	271.3
Gross Profit									240.9	229.9	70.3
Operating Expenses									153.7	177.7	44.7
Goodwill Impairment										0.0	11.1
Asset Impairments											26.2
Income from Operations									87.2	52.2	(11.7)
Depreciation and Amortization									56.3	53.3	12.2
Capital Expenditures									13.6	21.4	7.2
Identifiable Assets	1,604.0				1,695.0				1,604.0	1,695.0	142.9
Intersegment Eliminations [Member]
Segment Reporting Information [Line Items]
Net Sales									(77.6)	(99.3)	(102.5)
Gross Profit									0.0	0.0	0.0
Operating Expenses									0.0	0.0	0.0
Goodwill Impairment										0.0	0.0
Asset Impairments											0.0
Income from Operations									0.0	0.0	0.0
Depreciation and Amortization									0.0	0.0	0.0
Capital Expenditures									0.0	0.0	0.0
Identifiable Assets	$ 0.0				$ 0.0				0.0	0.0	0.0
Intersegment Eliminations [Member] | Commercial and Industrial Systems
Segment Reporting Information [Line Items]
Net Sales									49.2	71.2	78.2
Intersegment Eliminations [Member] | Climate Solutions
Segment Reporting Information [Line Items]
Net Sales									24.1	24.1	19.2
Intersegment Eliminations [Member] | Power Transmission Solutions
Segment Reporting Information [Line Items]
Net Sales									$ 4.3	$ 4.0	$ 5.1