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Quarterly Financial Data (unaudited) (Details) - USD ($)
$ / shares in Units, $ in Millions
3 Months Ended 12 Months Ended
Dec. 31, 2017
Sep. 30, 2017
Jun. 30, 2017
Mar. 31, 2017
Dec. 31, 2016
Sep. 30, 2016
Jun. 30, 2016
Mar. 31, 2016
Dec. 31, 2015
Sep. 30, 2015
Dec. 31, 2017
Dec. 31, 2016
Dec. 31, 2015
Income Tax Examination [Line Items]                          
Net sales $ 648.2 $ 724.8 $ 659.3 $ 722.1 $ 771.1 $ 832.4 $ 804.4 $ 721.0 $ 3,154.6   $ 2,754.4 $ 3,128.9 $ 3,154.6
Gross profit 273.3 312.2 268.6 286.6 317.5 362.1 336.9 291.0 1,249.2   1,140.7 1,307.5 1,249.2
Operating income 77.7 94.6 56.6 59.5 102.4 131.1 100.2 76.7 306.5   288.4 410.4 306.5
Net income $ 48.4 $ 44.6 $ 24.5 $ 33.9 $ 51.9 $ 77.8 $ 21.3 $ 39.6 $ 64.5   $ 151.4 $ 190.6 $ 64.5
Basic earnings per common share (in dollars per share) $ 0.89 $ 0.83 $ 0.45 $ 0.63 $ 0.93 $ 1.34 $ 0.35 $ 0.64 $ 1.05   $ 2.80 $ 3.23 $ 1.05
Diluted earnings per common share (in dollars per share) $ 0.88 $ 0.81 $ 0.45 $ 0.62 $ 0.92 $ 1.32 $ 0.35 $ 0.63 $ 1.03   $ 2.77 $ 3.19 $ 1.03
Loss on extinguishment of debt             $ 47.2   $ 0.0   $ 0.0 $ 47.2 $ 0.0
Other nonrecurring income                   $ 9.5      
Danish Tax Authority                          
Income Tax Examination [Line Items]                          
Increase in uncertain tax liability                 $ 60.7        
Mattress Firm                          
Income Tax Examination [Line Items]                          
Restructuring charges       $ 25.9                  
Latin America                          
Income Tax Examination [Line Items]                          
Interest and other costs $ 14.0 $ 11.7     $ 11.5