Segment Information (Schedule of Financial Information Attributable To The Reporting Segments) (Details) - USD ($) $ in Millions	3 Months Ended								12 Months Ended
	Dec. 30, 2017	Sep. 30, 2017	Jul. 01, 2017	Apr. 01, 2017	Dec. 31, 2016	Oct. 01, 2016	Jul. 02, 2016	Apr. 02, 2016	Dec. 30, 2017	Dec. 31, 2016	Jan. 02, 2016
Segment Reporting Information [Line Items]
Net Sales	$ 820.7	$ 856.9	$ 869.2	$ 813.5	$ 758.1	$ 809.6	$ 838.6	$ 818.2	$ 3,360.3	$ 3,224.5	$ 3,509.7
Gross Profit	218.5	227.0	223.0	215.6	193.2	231.7	222.9	217.4	884.1	865.2	933.2
Operating Expenses									554.0	544.6	600.5
Goodwill Impairment									0.0	0.0	79.9
Income from Operations	78.3	94.0	83.0	74.8	70.1	89.8	91.4	69.3	330.1	320.6	252.8
Depreciation and Amortization									137.2	155.4	159.4
Capital Expenditures									65.2	65.2	92.2
Commercial and Industrial Systems
Segment Reporting Information [Line Items]
Net Sales	407.7	408.0	407.4	381.2	369.2	389.4	394.7	377.6	1,604.3	1,530.9	1,694.9
Income from Operations	24.0	29.6	20.6	25.8	20.5	36.2	25.1	21.7
Climate Solutions
Segment Reporting Information [Line Items]
Net Sales	216.4	256.0	270.5	247.7	215.2	250.5	254.5	239.8	990.6	960.0	1,041.2
Income from Operations	30.4	38.8	40.2	31.2	27.0	42.2	36.1	24.6
Power Transmission Solutions
Segment Reporting Information [Line Items]
Net Sales	196.6	192.9	191.3	184.6	173.7	169.7	189.4	200.8	765.4	733.6	773.6
Income from Operations	$ 23.9	$ 25.6	$ 22.2	$ 17.8	$ 22.6	$ 11.4	$ 30.2	$ 23.0
Operating Segments | Commercial and Industrial Systems
Segment Reporting Information [Line Items]
Net Sales									1,670.8	1,580.1	1,766.1
Gross Profit									377.3	379.2	441.1
Operating Expenses									277.3	275.7	307.2
Goodwill Impairment											79.9
Income from Operations									100.0	103.5	54.0
Depreciation and Amortization									59.8	74.7	77.5
Capital Expenditures									39.2	36.6	52.3
Operating Segments | Climate Solutions
Segment Reporting Information [Line Items]
Net Sales									1,015.5	984.1	1,065.3
Gross Profit									255.2	245.1	262.2
Operating Expenses									114.6	115.2	115.6
Goodwill Impairment											0.0
Income from Operations									140.6	129.9	146.6
Depreciation and Amortization									22.1	24.4	28.6
Capital Expenditures									13.4	15.0	18.5
Operating Segments | Power Transmission Solutions
Segment Reporting Information [Line Items]
Net Sales									769.9	737.9	777.6
Gross Profit									251.6	240.9	229.9
Operating Expenses									162.1	153.7	177.7
Goodwill Impairment											0.0
Income from Operations									89.5	87.2	52.2
Depreciation and Amortization									55.3	56.3	53.3
Capital Expenditures									12.6	13.6	21.4
Intersegment Eliminations
Segment Reporting Information [Line Items]
Net Sales									(95.9)	(77.6)	(99.3)
Intersegment Eliminations | Commercial and Industrial Systems
Segment Reporting Information [Line Items]
Net Sales									66.5	49.2	71.2
Intersegment Eliminations | Climate Solutions
Segment Reporting Information [Line Items]
Net Sales									24.9	24.1	24.1
Intersegment Eliminations | Power Transmission Solutions
Segment Reporting Information [Line Items]
Net Sales									$ 4.5	$ 4.3	$ 4.0