ACCUMULATED OTHER COMPREHENSIVE INCOME - Schedule of Reclassifications Out of Accumulated Other Comprehensive Income (Details) - USD ($) $ in Millions	12 Months Ended
	Sep. 30, 2024	Sep. 30, 2023	Sep. 30, 2022
Accumulated Other Comprehensive Income (Loss) [Line Items]
Net sales	$ 2,963.9	$ 2,918.8	$ 3,132.5
Other non-operating expense, net	8.6	3.8	14.7
Income (loss) from discontinued operations, net of tax	25.5	2,035.6	149.7
Foreign Currency Translation | Reclassification out of Accumulated Other Comprehensive Income
Accumulated Other Comprehensive Income (Loss) [Line Items]
Net sales	0.0
Cost of goods sold	0.0
Other non-operating expense, net	(2.4)
Income (loss) from discontinued operations, net of tax	0.0
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
Cost of goods sold	0.0	0.0	0.0
Other non-operating expense, net	(1.0)	(0.8)	(3.6)
Income (loss) from discontinued operations, net of tax	0.0	0.1	0.1
Derivative Instruments | Reclassification out of Accumulated Other Comprehensive Income
Accumulated Other Comprehensive Income (Loss) [Line Items]
Net sales	0.3	0.2	0.1
Cost of goods sold	(15.5)	(12.4)	20.1
Other non-operating expense, net	0.0	0.0	0.0
Income (loss) from discontinued operations, net of tax	$ 0.0	$ (2.3)	$ 2.4