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QUARTERLY RESULTS (UNAUDITED) (Details) - USD ($)
$ / shares in Units, $ in Millions
 3 Months Ended 12 Months Ended
Sep. 30, 2021
Jul. 04, 2021
Apr. 04, 2021
Jan. 03, 2021
Sep. 30, 2020
Jun. 28, 2020
Mar. 29, 2020
Dec. 29, 2019
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
Schedule of Investments [Line Items]                      
Revenue $ 757.8 $ 743.8 $ 760.3 $ 736.2 $ 736.9 $ 702.7 $ 608.7 $ 573.8 $ 2,998.1 $ 2,622.1 $ 2,446.4
Gross profit 258.2 262.6 261.0 252.8 254.2 252.4 200.2 171.4 1,034.6 878.1 819.6
Net income (loss) from continuing operations attributable to controlling interest 6.0 (1.8) (3.7) 14.7 (9.6) 126.1 (107.6) (61.6) 15.1 (52.7) (303.0)
Net income from discontinued operations attributable to controlling interest 44.2 32.5 40.4 57.4 55.0 19.0 50.7 25.8 174.5 150.5 797.5
Net income attributable to controlling interest $ 50.2 $ 30.7 $ 36.7 $ 72.1 $ 45.4 $ 145.1 $ (56.9) $ (35.8) $ 189.6 $ 97.8 $ 494.5
Earnings Per Share                      
Basic earnings per share from continuing operations (in dollars per share) $ 0.14 $ (0.04) $ (0.09) $ 0.34 $ (0.22) $ 2.93 $ (2.39) $ (1.29) $ 0.35 $ (1.18) $ (5.98)
Basic earnings per share from discontinued operations (in dollars per share) 1.04 0.76 0.95 1.34 1.27 0.44 1.13 0.54 4.09 3.37 15.74
Basic earnings per share (in dollars per share) 1.18 0.72 0.86 1.68 1.05 3.37 (1.26) (0.75) 4.44 2.19 9.76
Diluted earnings per share from continuing operations (in dollars per share) 0.14 (0.04) (0.09) 0.34 (0.22) 2.92 (2.39) (1.29) 0.35 (1.18) (5.98)
Diluted earnings per share from discontinued operations (in dollars per share) 1.02 0.76 0.95 1.34 1.27 0.44 1.13 0.54 4.04 3.37 15.74
Diluted earnings per share (in dollars per share) $ 1.16 $ 0.72 $ 0.86 $ 1.68 $ 1.05 $ 3.36 $ (1.26) $ (0.75) $ 4.39 $ 2.19 $ 9.76
SB/RH                      
Schedule of Investments [Line Items]                      
Revenue $ 757.8 $ 743.8 $ 760.3 $ 736.2 $ 736.9 $ 702.7 $ 608.7 $ 573.8 $ 2,998.1 $ 2,622.1 $ 2,446.4
Gross profit 258.2 262.6 261.0 252.8 254.2 252.4 200.2 171.4 1,034.6 878.1 819.6
Net income (loss) from continuing operations attributable to controlling interest 6.2 (0.9) (3.2) 15.1 (13.5) 70.1 (106.0) (59.3) 17.1 (108.7) (262.1)
Net income from discontinued operations attributable to controlling interest 44.0 32.6 40.4 57.4 55.9 18.7 51.6 24.4 174.5 150.5 803.4
Net income attributable to controlling interest $ 50.2 $ 31.7 $ 37.2 $ 72.5 $ 42.4 $ 88.8 $ (54.4) $ (34.9) $ 191.6 $ 41.8 $ 541.3