Condensed Consolidated Statements of Shareholder's Equity - SB/RH - USD ($) $ in Millions	Total	Total Shareholders' Equity	Accumulated Deficit	Accumulated Other Comprehensive Loss	Non- controlling Interest	SB/RH	SB/RH Total Shareholders' Equity	SB/RH Other Capital	SB/RH Accumulated Deficit	SB/RH Accumulated Other Comprehensive Loss	SB/RH Non- controlling Interest
Balances at beginning of period at Sep. 30, 2020	$ 1,415.8	$ 1,407.5	$ 243.9	$ (284.7)	$ 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 loss from continuing operations	15.7	14.7	14.7		1.0	16.1	15.1		15.1		1.0
Income (loss) from discontinued operations, net of tax	57.2	57.4	57.4		(0.2)	57.2	57.4		57.4		(0.2)
Other comprehensive loss, net of tax	16.6	16.2		16.2	0.4	16.6	16.2			16.2	0.4
Restricted stock issued and related tax withholdings	(6.9)	(6.9)				(7.1)	(7.1)	(7.1)
Share based compensation	7.5	7.5				7.5	7.5	7.5
Dividends paid to parent						(60.1)	(60.1)		(60.1)
Dividend paid by subsidiary to NCI	(1.0)				(1.0)	(1.0)					(1.0)
Balances at end of period at Jan. 03, 2021	1,444.2	1,435.7	297.6	(268.5)	8.5	1,294.4	1,284.3	2,154.5	(601.8)	(268.4)	10.1
Balances at beginning of period at Sep. 30, 2020	1,415.8	1,407.5	243.9	(284.7)	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 loss from continuing operations	11.1					12.0
Income (loss) from discontinued operations, net of tax	97.5					97.6
Balances at end of period at Apr. 04, 2021	1,494.6	1,487.4	315.7	(243.4)	7.2	1,347.2	1,338.4	2,162.5	(580.8)	(243.3)	8.8
Balances at beginning of period at Jan. 03, 2021	1,444.2	1,435.7	297.6	(268.5)	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 loss from continuing operations	(4.6)	(3.7)	(3.7)		(0.9)	(4.2)	(3.3)		(3.3)		(0.9)
Income (loss) from discontinued operations, net of tax	40.3	40.3	40.3			40.4	40.4		40.4
Other comprehensive loss, net of tax	25.0	25.1		25.1	(0.1)	25.0	25.1			25.1	(0.1)
Restricted stock issued and related tax withholdings	0.0
Share based compensation	8.5	8.5				8.0	8.0	8.0
Dividends paid to parent						(16.1)	(16.1)		(16.1)
Dividend paid by subsidiary to NCI	(0.3)				(0.3)	(0.3)					(0.3)
Balances at end of period at Apr. 04, 2021	1,494.6	1,487.4	315.7	(243.4)	7.2	1,347.2	1,338.4	2,162.5	(580.8)	(243.3)	8.8
Balances at beginning of period at Sep. 30, 2021	1,479.0	1,471.9	359.9	(235.3)	7.1	1,333.4	1,324.7	2,174.8	(614.9)	(235.2)	8.7
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net loss from continuing operations	(30.2)	(30.2)	(30.2)			(30.1)	(30.1)		(30.1)
Income (loss) from discontinued operations, net of tax	38.8	38.4	38.4		0.4	38.8	38.4		38.4		0.4
Other comprehensive loss, net of tax	4.1	4.0		4.0	0.1	4.1	4.0			4.0	0.1
Restricted stock issued and related tax withholdings	(24.4)	(24.4)				(24.3)	(24.3)	(24.3)
Share based compensation	8.3	8.3				8.2	8.2	8.2
Dividends paid to parent						(119.2)	(119.2)		(119.2)
Balances at end of period at Jan. 02, 2022	1,347.9	1,340.3	350.4	(231.3)	7.6	1,210.9	1,201.7	2,158.7	(725.8)	(231.2)	9.2
Balances at beginning of period at Sep. 30, 2021	1,479.0	1,471.9	359.9	(235.3)	7.1	1,333.4	1,324.7	2,174.8	(614.9)	(235.2)	8.7
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net loss from continuing operations	(55.3)					(54.7)
Income (loss) from discontinued operations, net of tax	79.9					79.9
Balances at end of period at Apr. 03, 2022	1,328.6	1,322.3	348.7	(231.3)	6.3	1,192.2	1,184.3	2,166.1	(750.6)	(231.2)	7.9
Balances at beginning of period at Jan. 02, 2022	1,347.9	1,340.3	350.4	(231.3)	7.6	1,210.9	1,201.7	2,158.7	(725.8)	(231.2)	9.2
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net loss from continuing operations	(25.1)	(25.1)	(25.1)		0.0	(24.6)	(24.6)		(24.6)
Income (loss) from discontinued operations, net of tax	41.1	41.0	41.0		0.1	41.1	41.0		41.0		0.1
Other comprehensive loss, net of tax	(0.1)	0.0		0.0	(0.1)	(0.1)					(0.1)
Restricted stock issued and related tax withholdings	(0.1)	(0.1)
Share based compensation	7.8	7.8				7.4	7.4	7.4
Dividends paid to parent						(41.2)	(41.2)		(41.2)
Dividend paid by subsidiary to NCI	(1.3)				(1.3)	(1.3)					(1.3)
Balances at end of period at Apr. 03, 2022	$ 1,328.6	$ 1,322.3	$ 348.7	$ (231.3)	$ 6.3	$ 1,192.2	$ 1,184.3	$ 2,166.1	$ (750.6)	$ (231.2)	$ 7.9