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Condensed Consolidated Statements of Shareholder's Equity - USD ($) shares in Millions, $ in Millions | Total | Open Market Purchases And Private Purchases | ASR | Open Market Purchases | Cumulative Effect, Period of Adoption, Adjustment | Total Shareholders' Equity | Total Shareholders' Equity Open Market Purchases And Private Purchases | Total Shareholders' Equity ASR | Total Shareholders' Equity Open Market Purchases | Common Stock | Common Stock Open Market Purchases And Private Purchases | Common Stock ASR | Common Stock Open Market Purchases | Additional Paid-in Capital | Additional Paid-in Capital ASR | Accumulated Earnings | Accumulated Earnings Cumulative Effect, Period of Adoption, Adjustment | Accumulated Other Comprehensive Loss | Accumulated Other Comprehensive Loss Cumulative Effect, Period of Adoption, Adjustment | Treasury Stock | Treasury Stock Open Market Purchases And Private Purchases | Treasury Stock ASR | Treasury Stock Open Market Purchases | Non- controlling Interest | SB/RH | SB/RH Cumulative Effect, Period of Adoption, Adjustment | SB/RH Total Shareholders' Equity | SB/RH Other Capital | SB/RH Accumulated Earnings | SB/RH Accumulated Earnings Cumulative Effect, Period of Adoption, Adjustment | SB/RH Accumulated Other Comprehensive Loss | SB/RH Accumulated Other Comprehensive Loss Cumulative Effect, Period of Adoption, Adjustment | SB/RH Non- controlling Interest
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Balances at beginning of period (in shares) at Sep. 30, 2019 |  |  |  |  |  |  |  |  |  | 48.8 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Balances at beginning of period at Sep. 30, 2019 | $ 1,728.9 |  |  |  | $ 0.0 | $ 1,720.9 |  |  |  | $ 0.5 |  |  |  | $ 2,031.1 |  | $ 223.8 | $ (0.3) | $ (273.6) | $ 0.3 | $ (260.9) |  |  |  | $ 8.0 | $ 1,434.7 | $ 0.0 | $ 1,425.1 | $ 2,113.3 | $ (414.7) | $ (0.3) | $ (273.5) | $ 0.3 | $ 9.6
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Net income from continuing operations | (37.7) |  |  |  |  | (38.6) |  |  |  |  |  |  |  |  |  | (38.6) |  |  |  |  |  |  |  | 0.9 | (36.8) |  | (37.7) |  | (37.7) |  |  |  | 0.9
Income (loss) from discontinued operations, net of tax | 2.8 |  |  |  |  | 2.8 |  |  |  |  |  |  |  |  |  | 2.8 |  |  |  |  |  |  |  |  | 2.8 |  | 2.8 |  | 2.8 |  |  |  |
Other comprehensive income (loss), net of tax | 24.3 |  |  |  |  | 24.2 |  |  |  |  |  |  |  |  |  |  |  | 24.2 |  |  |  |  |  | 0.1 | 24.3 |  | 24.2 |  |  |  | 24.2 |  | 0.1
Treasury stock repurchases (in shares) |  |  |  |  |  |  |  |  |  |  | (1.5) | (1.7) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Treasury stock repurchases |  | $ (90.6) | $ (125.0) |  |  |  | $ (90.6) | $ (125.0) |  |  |  |  |  |  | $ (18.7) |  |  |  |  |  | $ (90.6) | $ (106.3) |  |  |  |  |  |  |  |  |  |  |
Restricted stock issued and related tax withholdings (in shares) |  |  |  |  |  |  |  |  |  | 0.5 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Restricted stock issued and related tax withholdings | 4.9 |  |  |  |  | 4.9 |  |  |  |  |  |  |  | (13.3) |  | 0.0 |  |  |  | 18.2 |  |  |  |  | 4.9 |  | 4.9 | 4.9 |  |  |  |  |
Share based compensation | 8.5 |  |  |  |  | 8.5 |  |  |  |  |  |  |  | 8.5 |  |  |  |  |  |  |  |  |  |  | 8.5 |  | 8.5 | 8.5 |  |  |  |  |
Dividends paid to parent |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | (36.7) |  | (36.7) |  | (36.7) |  |  |  |
Dividends declared | (20.2) |  |  |  |  | (20.2) |  |  |  |  |  |  |  |  |  | (20.2) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Balances at end of period at Dec. 29, 2019 | 1,495.9 |  |  |  |  | 1,486.9 |  |  |  | $ 0.5 |  |  |  | 2,007.6 |  | 167.5 |  | (249.1) |  | (439.6) |  |  |  | 9.0 | 1,401.7 |  | 1,391.1 | 2,126.7 | (486.6) |  | (249.0) |  | 10.6
Balances at end of period (in shares) at Dec. 29, 2019 |  |  |  |  |  |  |  |  |  | 46.1 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Balances at beginning of period (in shares) at Sep. 30, 2019 |  |  |  |  |  |  |  |  |  | 48.8 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Balances at beginning of period at Sep. 30, 2019 | 1,728.9 |  |  |  | 0.0 | 1,720.9 |  |  |  | $ 0.5 |  |  |  | 2,031.1 |  | 223.8 | (0.3) | (273.6) | 0.3 | (260.9) |  |  |  | 8.0 | 1,434.7 | 0.0 | 1,425.1 | 2,113.3 | (414.7) | (0.3) | (273.5) | 0.3 | 9.6
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Net income from continuing operations | (96.9) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | (93.5) |  |  |  |  |  |  |  |
Income (loss) from discontinued operations, net of tax | $ 4.3 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 4.3 |  |  |  |  |  |  |  |
Treasury stock repurchases (in shares) | (6.2) |  | (2.0) | (4.0) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Treasury stock repurchases |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | (364.6) |  | (124.8) | $ (230.6) |  |  |  |  |  |  |  |  |  |
Balances at end of period at Mar. 29, 2020 | $ 1,244.8 |  |  |  |  | 1,236.7 |  |  |  | $ 0.5 |  |  |  | 2,034.3 |  | 90.8 |  | (282.0) |  | (606.9) |  |  |  | 8.1 | 1,153.3 |  | 1,143.6 | 2,134.7 | (709.2) |  | (281.9) |  | 9.7
Balances at end of period (in shares) at Mar. 29, 2020 |  |  |  |  |  |  |  |  |  | 43.1 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Balances at beginning of period (in shares) at Sep. 30, 2019 |  |  |  |  |  |  |  |  |  | 48.8 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Balances at beginning of period at Sep. 30, 2019 | 1,728.9 |  |  |  | $ 0.0 | 1,720.9 |  |  |  | $ 0.5 |  |  |  | 2,031.1 |  | 223.8 | $ (0.3) | (273.6) | $ 0.3 | (260.9) |  |  |  | 8.0 | 1,434.7 | $ 0.0 | 1,425.1 | 2,113.3 | (414.7) | $ (0.3) | (273.5) | $ 0.3 | 9.6
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Treasury stock repurchases (in shares) |  |  | (2.0) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Balances at end of period at Sep. 30, 2020 | 1,415.8 |  |  |  |  | 1,407.5 |  |  |  | $ 0.5 |  |  |  | 2,054.3 |  | 243.9 |  | (284.7) |  | (606.5) |  |  |  | 8.3 | 1,265.2 |  | 1,255.3 | 2,154.1 | (614.2) |  | (284.6) |  | 9.9
Balances at end of period (in shares) at Sep. 30, 2020 |  |  |  |  |  |  |  |  |  | 43.1 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Balances at beginning of period (in shares) at Dec. 29, 2019 |  |  |  |  |  |  |  |  |  | 46.1 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Balances at beginning of period at Dec. 29, 2019 | 1,495.9 |  |  |  |  | 1,486.9 |  |  |  | $ 0.5 |  |  |  | 2,007.6 |  | 167.5 |  | (249.1) |  | (439.6) |  |  |  | 9.0 | 1,401.7 |  | 1,391.1 | $ 2,126.7 | (486.6) |  | (249.0) |  | 10.6
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Net income from continuing operations | (59.2) |  |  |  |  | (58.4) |  |  |  |  |  |  |  |  |  | (58.4) |  |  |  |  |  |  |  | (0.8) | (56.6) |  | (55.8) |  | (55.8) |  |  |  | (0.8)
Income (loss) from discontinued operations, net of tax | 1.4 |  |  |  |  | 1.4 |  |  |  |  |  |  |  |  |  | 1.4 |  |  |  |  |  |  |  |  | 1.4 |  | 1.4 |  | 1.4 |  |  |  |
Sale and deconsolidation of assets held for sale | 8.1 |  |  |  |  | 8.1 |  |  |  |  |  |  |  |  |  |  |  | 8.1 |  |  |  |  |  |  | 8.1 |  | 8.1 |  |  |  | 8.1 |  |
Other comprehensive income (loss), net of tax | $ (41.1) |  |  |  |  | (41.0) |  |  |  |  |  |  |  |  |  |  |  | (41.0) |  |  |  |  |  | (0.1) | (41.1) |  | (41.0) |  |  |  | (41.0) |  | (0.1)
Treasury stock repurchases (in shares) | (3.0) |  | (0.3) | (2.7) |  |  |  |  |  |  |  | (0.3) | (2.7) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Treasury stock repurchases |  |  | $ 0.0 | $ (149.2) |  |  |  |  | $ (149.2) |  |  |  |  |  | $ 18.5 |  |  |  |  | (167.7) |  | (18.5) | (149.2) |  |  |  |  |  |  |  |  |  |
Restricted stock issued and related tax withholdings (in shares) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | (0.3) |  |  |  |  |
Restricted stock issued and related tax withholdings | $ (0.3) |  |  |  |  | (0.3) |  |  |  |  |  |  |  | (0.7) |  |  |  |  |  | 0.4 |  |  |  |  | (0.3) |  | (0.3) |  |  |  |  |  |
Share based compensation | 8.9 |  |  |  |  | 8.9 |  |  |  |  |  |  |  | 8.9 |  |  |  |  |  |  |  |  |  |  | 8.3 |  | 8.3 | $ 8.3 |  |  |  |  |
Dividends paid to parent |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | (168.2) |  | (168.2) |  | (168.2) |  |  |  |
Dividends declared | (19.7) |  |  |  |  | (19.7) |  |  |  |  |  |  |  |  |  | (19.7) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Balances at end of period at Mar. 29, 2020 | 1,244.8 |  |  |  |  | 1,236.7 |  |  |  | $ 0.5 |  |  |  | 2,034.3 |  | 90.8 |  | (282.0) |  | (606.9) |  |  |  | 8.1 | 1,153.3 |  | 1,143.6 | 2,134.7 | (709.2) |  | (281.9) |  | 9.7
Balances at end of period (in shares) at Mar. 29, 2020 |  |  |  |  |  |  |  |  |  | 43.1 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Balances at beginning of period (in shares) at Sep. 30, 2020 |  |  |  |  |  |  |  |  |  | 43.1 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Balances at beginning of period at Sep. 30, 2020 | 1,415.8 |  |  |  |  | 1,407.5 |  |  |  | $ 0.5 |  |  |  | 2,054.3 |  | 243.9 |  | (284.7) |  | (606.5) |  |  |  | 8.3 | 1,265.2 |  | 1,255.3 | 2,154.1 | (614.2) |  | (284.6) |  | 9.9
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Net income from continuing operations | 73.4 |  |  |  |  | 72.6 |  |  |  |  |  |  |  |  |  | 72.6 |  |  |  |  |  |  |  | 0.8 | 73.6 |  | 72.8 |  | 72.8 |  |  |  | 0.8
Income (loss) from discontinued operations, net of tax | (0.3) |  |  |  |  | (0.3) |  |  |  |  |  |  |  |  |  | (0.3) |  |  |  |  |  |  |  |  | (0.3) |  | (0.3) |  | (0.3) |  |  |  |
Other comprehensive income (loss), net of tax | 16.6 |  |  |  |  | 16.2 |  |  |  |  |  |  |  |  |  |  |  | 16.2 |  |  |  |  |  | 0.4 | 16.6 |  | 16.2 |  |  |  | 16.2 |  | 0.4
Treasury stock repurchases (in shares) |  |  |  |  |  |  |  |  |  | (0.6) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Treasury stock repurchases | (42.3) |  |  |  |  | (42.3) |  |  |  |  |  |  |  |  |  |  |  |  |  | (42.3) |  |  |  |  |  |  |  |  |  |  |  |  |
Restricted stock issued and related tax withholdings (in shares) |  |  |  |  |  |  |  |  |  | 0.2 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Restricted stock issued and related tax withholdings | (6.9) |  |  |  |  | (6.9) |  |  |  |  |  |  |  | (18.6) |  |  |  |  |  | 11.7 |  |  |  |  | (7.1) |  | (7.1) | (7.1) |  |  |  |  |
Share based compensation | 7.5 |  |  |  |  | 7.5 |  |  |  |  |  |  |  | 7.5 |  |  |  |  |  |  |  |  |  |  | 7.5 |  | 7.5 | 7.5 |  |  |  |  |
Dividends paid to parent |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | (60.1) |  | (60.1) |  | (60.1) |  |  |  |
Dividends declared | (18.4) |  |  |  |  | (18.4) |  |  |  |  |  |  |  |  |  | (18.4) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Dividend paid by subsidiary to NCI | (1.0) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | (1.0) | (1.0) |  |  |  |  |  |  |  | (1.0)
Balances at end of period at Jan. 03, 2021 | 1,444.4 |  |  |  |  | 1,435.9 |  |  |  | $ 0.5 |  |  |  | 2,043.2 |  | 297.8 |  | (268.5) |  | (637.1) |  |  |  | 8.5 | 1,294.4 |  | 1,284.3 | 2,154.5 | (601.8) |  | (268.4) |  | 10.1
Balances at end of period (in shares) at Jan. 03, 2021 |  |  |  |  |  |  |  |  |  | 42.7 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Balances at beginning of period (in shares) at Sep. 30, 2020 |  |  |  |  |  |  |  |  |  | 43.1 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Balances at beginning of period at Sep. 30, 2020 | 1,415.8 |  |  |  |  | 1,407.5 |  |  |  | $ 0.5 |  |  |  | 2,054.3 |  | 243.9 |  | (284.7) |  | (606.5) |  |  |  | 8.3 | 1,265.2 |  | 1,255.3 | 2,154.1 | (614.2) |  | (284.6) |  | 9.9
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Net income from continuing operations | 110.0 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 111.0 |  |  |  |  |  |  |  |
Income (loss) from discontinued operations, net of tax | $ (1.4) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | (1.4) |  |  |  |  |  |  |  |
Treasury stock repurchases (in shares) | (0.6) |  | 0.0 | 0.0 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Treasury stock repurchases |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | (42.3) |  | 0.0 | 0.0 |  |  |  |  |  |  |  |  |  |
Balances at end of period at Apr. 04, 2021 | $ 1,494.8 |  |  |  |  | 1,487.6 |  |  |  | $ 0.5 |  |  |  | 2,051.6 |  | 315.9 |  | (243.4) |  | (637.0) |  |  |  | 7.2 | 1,347.2 |  | 1,338.4 | 2,162.5 | (580.8) |  | (243.3) |  | 8.8
Balances at end of period (in shares) at Apr. 04, 2021 |  |  |  |  |  |  |  |  |  | 42.7 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Balances at beginning of period (in shares) at Jan. 03, 2021 |  |  |  |  |  |  |  |  |  | 42.7 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Balances at beginning of period at Jan. 03, 2021 | 1,444.4 |  |  |  |  | 1,435.9 |  |  |  | $ 0.5 |  |  |  | 2,043.2 |  | 297.8 |  | (268.5) |  | (637.1) |  |  |  | 8.5 | 1,294.4 |  | 1,284.3 | 2,154.5 | (601.8) |  | (268.4) |  | 10.1
Increase (Decrease) in Stockholders' Equity [Roll Forward] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Net income from continuing operations | 36.8 |  |  |  |  | 37.7 |  |  |  |  |  |  |  |  |  | 37.7 |  |  |  |  |  |  |  | (0.9) | 37.3 |  | 38.2 |  | 38.2 |  |  |  | (0.9)
Income (loss) from discontinued operations, net of tax | (1.1) |  |  |  |  | (1.1) |  |  |  |  |  |  |  |  |  | (1.1) |  |  |  |  |  |  |  |  | (1.1) |  | (1.1) |  | (1.1) |  |  |  |
Other comprehensive income (loss), net of tax | $ 25.0 |  |  |  |  | 25.1 |  |  |  |  |  |  |  |  |  |  |  | 25.1 |  |  |  |  |  | (0.1) | 25.0 |  | 25.1 |  |  |  | 25.1 |  | (0.1)
Treasury stock repurchases (in shares) | 0.0 |  | 0.0 | 0.0 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Treasury stock repurchases |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 0.0 |  | $ 0.0 | $ 0.0 |  |  |  |  |  |  |  |  |  |
Restricted stock issued and related tax withholdings | $ 0.0 |  |  |  |  |  |  |  |  |  |  |  |  | (0.1) |  |  |  |  |  | 0.1 |  |  |  |  |  |  |  |  |  |  |  |  |
Share based compensation | 8.5 |  |  |  |  | 8.5 |  |  |  |  |  |  |  | 8.5 |  |  |  |  |  |  |  |  |  |  | 8.0 |  | 8.0 | 8.0 |  |  |  |  |
Dividends paid to parent |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | (16.1) |  | (16.1) |  | (16.1) |  |  |  |
Dividends declared | (18.5) |  |  |  |  | (18.5) |  |  |  |  |  |  |  |  |  | (18.5) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Dividend paid by subsidiary to NCI | (0.3) |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | (0.3) | (0.3) |  |  |  |  |  |  |  | (0.3)
Balances at end of period at Apr. 04, 2021 | $ 1,494.8 |  |  |  |  | $ 1,487.6 |  |  |  | $ 0.5 |  |  |  | $ 2,051.6 |  | $ 315.9 |  | $ (243.4) |  | $ (637.0) |  |  |  | $ 7.2 | $ 1,347.2 |  | $ 1,338.4 | $ 2,162.5 | $ (580.8) |  | $ (243.3) |  | $ 8.8
Balances at end of period (in shares) at Apr. 04, 2021 |  |  |  |  |  |  |  |  |  | 42.7 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |

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