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Segment Information (Schedule of Financial Information Attributable To The Reporting Segments) (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended 12 Months Ended
Jan. 02, 2016
Oct. 03, 2015
Jul. 04, 2015
Apr. 04, 2015
Jan. 03, 2015
Sep. 27, 2014
Jun. 28, 2014
Mar. 29, 2014
Sep. 27, 2014
Jan. 02, 2016
Jan. 03, 2015
Dec. 28, 2013
Segment Reporting Information [Line Items]                        
Net Sales $ 773.5 $ 882.3 $ 942.2 $ 911.7 $ 775.6 $ 829.8 $ 850.4 $ 801.2   $ 3,509.7 $ 3,257.1 $ 3,095.7
Gross profit 219.8 241.1 251.4 220.9 188.1 203.8 211.0 194.4   933.2 797.3 783.2
Operating Expenses                   600.5 516.3 494.2
Goodwill Impairment 79.9       118.5       $ 1.0 79.9 119.5 76.3
Asset Impairments and Other, Net                   0.0 40.0 4.7
Income (loss) from operations (14.1) 100.1 103.2 63.6 (110.6) 74.7 87.7 69.7   252.8 121.5 208.0
Depreciation and amortization                   159.4 138.7 128.5
Capital expenditures                   92.2 83.6 82.7
Identifiable assets 4,591.7       3,357.2         4,591.7 3,357.2 3,611.3
Commercial and Industrial Systems                        
Segment Reporting Information [Line Items]                        
Net Sales 370.7 426.8 441.0 456.4 451.2 472.3 479.0 453.5   1,694.9 1,856.1 1,746.6
Goodwill Impairment                   79.9 100.7  
Asset Impairments and Other, Net                     0.0 4.7
Income (loss) from operations (59.7) 38.8 41.5 33.3 (84.2) 33.6 47.0 37.2        
Climate Solutions                        
Segment Reporting Information [Line Items]                        
Net Sales 210.3 264.4 286.1 280.4 256.2 290.0 303.5 285.1   1,041.2 1,134.8 1,098.6
Goodwill Impairment                   0.0 7.7  
Asset Impairments and Other, Net                     13.8 0.0
Income (loss) from operations 28.9 40.7 43.7 33.4 7.1 33.1 33.1 26.3        
Power Transmission Solutions                        
Segment Reporting Information [Line Items]                        
Net Sales 192.5 191.1 215.1 174.9 68.2 67.5 67.9 62.6   773.6 266.2 250.5
Goodwill Impairment                   0.0   11.1
Asset Impairments and Other, Net                     26.2 0.0
Income (loss) from operations 16.7 $ 20.6 $ 18.0 $ (3.1) (33.5) $ 8.0 $ 7.6 $ 6.2        
Operating Segments [Member] | Commercial and Industrial Systems                        
Segment Reporting Information [Line Items]                        
Net Sales                   1,766.1 1,934.3 1,820.2
Gross profit                   441.1 468.2 461.8
Operating Expenses                   307.2 333.9 311.1
Goodwill Impairment                   79.9 100.7 64.2
Asset Impairments and Other, Net                     0.0 4.7
Income (loss) from operations                   54.0 33.6 81.8
Depreciation and amortization                   77.5 81.5 67.3
Capital expenditures                   52.3 59.6 56.4
Identifiable assets 1,959.5       2,371.7         1,959.5 2,371.7 2,591.8
Operating Segments [Member] | Climate Solutions                        
Segment Reporting Information [Line Items]                        
Net Sales                   1,065.3 1,154.0 1,115.2
Gross profit                   262.2 258.8 252.9
Operating Expenses                   115.6 137.7 143.6
Goodwill Impairment                   0.0 7.7 0.0
Asset Impairments and Other, Net                     13.8 0.0
Income (loss) from operations                   146.6 99.6 109.3
Depreciation and amortization                   28.6 45.0 49.0
Capital expenditures                   18.5 16.8 17.9
Identifiable assets 937.2       842.6         937.2 842.6 816.2
Operating Segments [Member] | Power Transmission Solutions                        
Segment Reporting Information [Line Items]                        
Net Sales                   777.6 271.3 255.5
Gross profit                   229.9 70.3 68.5
Operating Expenses                   177.7 44.7 39.5
Goodwill Impairment                   0.0 11.1 12.1
Asset Impairments and Other, Net                     26.2 0.0
Income (loss) from operations                   52.2 (11.7) 16.9
Depreciation and amortization                   53.3 12.2 12.2
Capital expenditures                   21.4 7.2 8.4
Identifiable assets 1,695.0       142.9         1,695.0 142.9 203.3
Intersegment Eliminations [Member]                        
Segment Reporting Information [Line Items]                        
Net Sales                   (99.3) (102.5) (95.2)
Gross profit                   0.0 0.0 0.0
Operating Expenses                   0.0 0.0 0.0
Goodwill Impairment                   0.0 0.0 0.0
Asset Impairments and Other, Net                     0.0 0.0
Income (loss) 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                   71.2 78.2 73.6
Intersegment Eliminations [Member] | Climate Solutions                        
Segment Reporting Information [Line Items]                        
Net Sales                   24.1 19.2 16.6
Intersegment Eliminations [Member] | Power Transmission Solutions                        
Segment Reporting Information [Line Items]                        
Net Sales                   $ 4.0 $ 5.1 $ 5.0