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QUARTERLY FINANCIAL INFORMATION (Unaudited) (Details) - USD ($)
$ / shares in Units, $ in Millions
3 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
Jan. 02, 2016
Jan. 03, 2015
Dec. 28, 2013
QUARTERLY FINANCIAL INFORMATION (Unaudited)                      
Net sales $ 1,454.8 $ 1,468.1 $ 1,516.0 $ 1,528.0 $ 1,604.8 $ 1,559.6 $ 1,615.8 $ 1,550.1 $ 5,966.9 $ 6,330.3 $ 6,140.0
Gross profit 392.3 405.9 417.6 430.0 415.1 400.7 428.2 407.2 1,645.8 1,651.2 1,637.7
Income from continuing operations 56.5 81.3 64.7 71.9 69.8 60.9 50.2 66.4 274.4 247.3 241.7
(Loss) income from discontinued operations, net of tax 0.5 0.4 (1.0)   0.8 (0.7) (1.9) (0.4)      
Net income $ 57.0 $ 81.7 $ 63.7 $ 71.9 $ 70.6 $ 60.2 $ 48.3 $ 66.0 $ 274.3 $ 245.1 $ 213.2
Net income (loss) per common share:                      
Continuing operations (in dollars per share) $ 0.62 $ 0.89 $ 0.71 $ 0.79 $ 0.76 $ 0.65 $ 0.53 $ 0.69 $ 3.01 $ 2.64 $ 2.46
Discontinued operations (in dollars per share) 0.01   (0.01)   0.01   (0.02)     (0.03) (0.29)
Net income per common share (in dollars per share) 0.63 0.89 0.70 0.79 0.77 0.65 0.51 0.69 3.01 2.61 2.17
Net income (loss) per common share, assuming dilution:                      
Continuing operations (in dollars per share) 0.61 0.87 0.69 0.78 0.75 0.64 0.52 0.68 2.95 2.58 2.41
Discontinued operations (in dollars per share) 0.01 0.01 (0.01)   0.01 (0.01) (0.02) (0.01)   (0.02) (0.28)
Net income per common share, assuming dilution (in dollars per share) $ 0.62 $ 0.88 $ 0.68 $ 0.78 $ 0.76 $ 0.63 $ 0.50 $ 0.67 $ 2.95 $ 2.56 $ 2.13