ACCUMULATED OTHER COMPREHENSIVE INCOME - Schedule of Reclassifications Out of Accumulated Other Comprehensive Income (Details) - USD ($) $ in Millions	3 Months Ended						9 Months Ended
	Jun. 30, 2024	Mar. 31, 2024	Dec. 31, 2023	Jul. 02, 2023	Apr. 02, 2023	Jan. 01, 2023	Jun. 30, 2024	Jul. 02, 2023
Accumulated Other Comprehensive Income (Loss) [Line Items]
Net sales	$ 779.4			$ 735.5			$ 2,190.2	$ 2,178.1
Other non-operating expense (income), net	1.7			0.1			7.0	0.1
(Loss) income from discontinued operations, net of tax	(13.1)	$ 11.0	$ 11.7	2,031.8	$ 21.4	$ 19.5	9.6	2,072.7
Reclassification out of Accumulated Other Comprehensive Income
Accumulated Other Comprehensive Income (Loss) [Line Items]
Net sales	0.1			0.1			0.2	0.2
Cost of goods sold	(2.5)			(3.7)			(12.5)	(6.2)
Other non-operating expense (income), net	(0.2)			(1.0)			(0.6)	(1.2)
(Loss) income from discontinued operations, net of tax				(28.4)				(28.3)
Foreign Currency Translation | Reclassification out of Accumulated Other Comprehensive Income
Accumulated Other Comprehensive Income (Loss) [Line Items]
Net sales				0.0				0.0
Cost of goods sold				0.0				0.0
Other non-operating expense (income), net				0.0				0.0
(Loss) income from discontinued operations, net of tax				(26.6)				(26.6)
Derivative Instruments | Reclassification out of Accumulated Other Comprehensive Income
Accumulated Other Comprehensive Income (Loss) [Line Items]
Net sales	0.1			0.1			0.2	0.2
Cost of goods sold	(2.5)			(3.7)			(12.5)	(6.2)
Other non-operating expense (income), net	0.0			0.0			0.0	0.0
(Loss) income from discontinued operations, net of tax				(2.4)				(2.3)
Defined Benefit Pension | Reclassification out of Accumulated Other Comprehensive Income
Accumulated Other Comprehensive Income (Loss) [Line Items]
Net sales	0.0			0.0			0.0	0.0
Cost of goods sold	0.0			0.0			0.0	0.0
Other non-operating expense (income), net	$ (0.2)			(1.0)			$ (0.6)	(1.2)
(Loss) income from discontinued operations, net of tax				$ 0.6				$ 0.6