Quarterly Financial Information (Unaudited) (Details) (USD $) In Millions, except Per Share data, unless otherwise specified	3 Months Ended								12 Months Ended
	Jan. 03, 2015	Sep. 27, 2014	Jun. 28, 2014	Mar. 29, 2014	Dec. 28, 2013	Sep. 28, 2013	Jun. 29, 2013	Mar. 30, 2013	Jan. 03, 2015	Dec. 28, 2013	Dec. 29, 2012
Segment Reporting Information [Line Items]
Net Sales	$ 775.6	$ 829.8	$ 850.4	$ 801.2	$ 727.2	$ 768.2	$ 822.0	$ 778.2	$ 3,257.1	$ 3,095.7	$ 3,166.9
Gross Profit	188.1	203.8	211.0	194.4	178.0	196.5	209.2	199.5	797.3	783.2	771.0
Income (Loss) From Operations	(110.6)	74.7	87.7	69.7	(27.8)	78.8	81.1	75.9	121.5	208.0	312.8
Net Income (Loss)	(115.8)	48.8	58.1	45.0	(32.8)	54.5	53.6	50.7	36.1	126.0	200.3
Net Income (Loss) Attributable to Parent	(116.5)	47.5	56.2	43.8	(33.2)	52.6	51.1	49.5	31.0	120.0	195.6
Basic earnings per share as reported	$ (2,610,000.00)	$ 1,060,000.00	$ 1,240,000.00	$ 970,000.00	$ (740,000.00)	$ 1,170,000.00	$ 1,140,000.00	$ 1,100,000.00	$ 0.69	$ 2.66	$ 4.68
Earnings Per Share, Diluted	$ (2,610,000.00)	$ 1,050,000.00	$ 1,240,000.00	$ 960,000.00	$ (740,000.00)	$ 1,160,000.00	$ 1,130,000.00	$ 1,090,000.00	$ 0.69	$ 2.64	$ 4.64
Basic	44.7	44.9	45.2	45.1	45.1	45.1	45.0	45.0	45.0	45.0	41.8
Assuming Dilution	44.7	45.2	45.5	45.4	45.1	45.4	45.3	45.3	45.3	45.4	42.1
Commercial and Industrial Systems [Domain]
Segment Reporting Information [Line Items]
Net Sales	451.2	472.3	479.0	453.5	431.1	437.4	447.9	430.1	1,934.3	1,820.2	1,833.2
Gross Profit									468.2	461.8	451.3
Income (Loss) From Operations	(84.2)	33.6	47.0	37.2	(36.7)	41.8	34.1	42.6	33.6	81.8	169.4
Climate Solutions [Member]
Segment Reporting Information [Line Items]
Net Sales	256.2	290.0	303.5	285.1	235.9	272.3	307.3	283.1
Income (Loss) From Operations	7.1	33.1	33.1	26.3	14.4	30.1	39.4	25.4
Power Transmission Solutions [Domain]
Segment Reporting Information [Line Items]
Net Sales	68.2	67.5	67.9	62.6	60.2	58.5	66.8	65.0	271.3	255.5	274.9
Gross Profit									70.3	68.5	74.9
Income (Loss) From Operations	$ (33.5)	$ 8.0	$ 7.6	$ 6.2	$ (5.5)	$ 6.9	$ 7.6	$ 7.9	$ (11.7)	$ 16.9	$ 39.7