SEGMENT INFORMATION - Schedule of Segment Information (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Jun. 30, 2024	Jul. 02, 2023	Jun. 30, 2024	Jul. 02, 2023
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Total segment adjusted EBITDA	$ 111.8	$ 103.6	$ 299.9	$ 211.2
Corporate	5.5	5.1	(3.1)	21.9
Interest expense	15.7	30.3	51.8	95.3
Depreciation	14.1	12.1	42.9	36.2
Amortization	11.1	10.5	33.4	31.4
Share based compensation	4.5	4.8	12.9	12.5
HPC separation initiatives	5.4	0.5	8.5	4.0
Fiscal 2023 and 2022 restructuring	0.1	0.9	0.9	6.0
Global ERP transformation	4.3	3.7	11.2	8.5
Russia closing initiative	(0.1)	0.2	0.0	2.9
Non-cash purchase accounting adjustments	0.2	0.5	1.1	1.4
Impairment of equipment and operating lease assets	5.1	3.6	5.6	8.1
Impairment of goodwill	0.0	111.1	0.0	111.1
Impairment of intangible assets	0.0	53.7	43.0	120.7
Representation and warranty insurance proceeds	0.0	0.0	(65.0)	0.0
Legal and environmental	0.8	1.5	2.2	1.5
Loss (gain) from early extinguishment of debt	2.2	8.6	(2.6)	8.6
Unallocated shared costs	0.0	5.3	0.0	18.1
Gain from remeasurement of contingent consideration liability	0.0	0.0	0.0	(1.5)
Early settlement of foreign currency cash flow hedges	0.0	0.7	0.0	4.6
Other	(0.4)	0.0	0.3	5.0
Income (loss) from continuing operations before income taxes	41.5	(158.3)	146.7	(320.2)
HHI divestiture and separation costs
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Transaction related charges	0.9	4.0	3.0	6.9
Tristar integration
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Transaction related charges	0.0	1.0	0.0	10.7
Other project costs
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Transaction related charges	0.3	1.9	0.5	13.7
GPC
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Total segment adjusted EBITDA	56.7	53.6	171.8	137.1
H&G
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Total segment adjusted EBITDA	43.3	38.6	71.8	51.4
HPC
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Total segment adjusted EBITDA	11.8	11.4	56.3	22.7
HPC product recall	$ 0.6	$ 1.9	$ 6.6	$ 3.8