SEGMENT INFORMATION - Schedule of Segment Information (Details) - USD ($) $ in Millions	3 Months Ended
	Dec. 31, 2023	Jan. 01, 2023
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Total segment adjusted EBITDA	$ 78.7	$ 48.0
Corporate	(5.6)	8.2
Interest expense	19.2	33.4
Depreciation	14.4	12.2
Amortization	11.1	10.4
Share based compensation	3.9	3.3
HPC separation initiatives	0.3	2.4
Russia closing initiatives	0.0	2.9
Global ERP transformation	3.0	1.6
Unallocated shared costs	0.0	6.3
Non-cash purchase accounting adjustments	0.5	0.5
Gain from debt repurchase	(4.7)	0.0
Gain from remeasurement of contingent consideration liability	0.0	(1.5)
Impairment of intangible assets	4.0	0.0
Early settlement of foreign currency cash flow hedges	0.0	2.6
Legal and environmental	1.2	0.0
Other	0.4	4.3
Income (loss) from continuing operations before income taxes	29.9	(52.1)
Fiscal 2023 restructuring
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Restructuring charges	0.5	0.0
Fiscal 2022 restructuring
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Restructuring charges	0.0	0.6
Tristar integration
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Transaction related charges	0.0	5.7
HHI separation costs
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Transaction related charges	1.3	1.5
Other project costs
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Transaction related charges	0.0	5.4
GPC
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Total segment adjusted EBITDA	52.7	37.2
H&G
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Total segment adjusted EBITDA	(0.7)	(2.4)
HPC
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Total segment adjusted EBITDA	26.7	13.2
HPC product recall	(0.7)	0.3
SB/RH
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Total segment adjusted EBITDA	78.7	48.0
Corporate	(5.9)	8.3
Interest expense	19.2	33.4
Depreciation	14.4	12.2
Amortization	11.1	10.4
Share based compensation	3.8	3.1
HPC separation initiatives	0.3	2.4
Russia closing initiatives	0.0	2.9
Global ERP transformation	3.0	1.6
Unallocated shared costs	0.0	6.3
Non-cash purchase accounting adjustments	0.5	0.5
Gain from debt repurchase	(4.7)	0.0
Gain from remeasurement of contingent consideration liability	0.0	(1.5)
Impairment of intangible assets	4.0	0.0
Early settlement of foreign currency cash flow hedges	0.0	2.6
Legal and environmental	1.2	0.0
Other	0.3	4.3
Income (loss) from continuing operations before income taxes	30.4	(52.0)
SB/RH | Fiscal 2023 restructuring
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Restructuring charges	0.5	0.0
SB/RH | Fiscal 2022 restructuring
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Restructuring charges	0.0	0.6
SB/RH | Tristar integration
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Transaction related charges	0.0	5.7
SB/RH | HHI separation costs
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Transaction related charges	1.3	1.5
SB/RH | Other project costs
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Transaction related charges	0.0	5.4
SB/RH | GPC
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Total segment adjusted EBITDA	52.7	37.2
SB/RH | H&G
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Total segment adjusted EBITDA	(0.7)	(2.4)
SB/RH | HPC
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Total segment adjusted EBITDA	26.7	13.2
HPC product recall	$ (0.7)	$ 0.3