REVENUE RECOGNITION - Schedule of Disaggregation of Revenue (Details) - USD ($) $ in Millions	12 Months Ended
	Sep. 30, 2024	Sep. 30, 2023	Sep. 30, 2022
Disaggregation of Revenue [Line Items]
Revenue	$ 2,963.9	$ 2,918.8	$ 3,132.5
Licensing
Disaggregation of Revenue [Line Items]
Revenue	19.6	19.9	22.4
Service and other
Disaggregation of Revenue [Line Items]
Revenue	5.7	7.0	7.6
NA | Product Sales
Disaggregation of Revenue [Line Items]
Revenue	1,747.4	1,752.2	1,936.3
EMEA | Product Sales
Disaggregation of Revenue [Line Items]
Revenue	880.1	826.3	814.3
LATAM | Product Sales
Disaggregation of Revenue [Line Items]
Revenue	211.8	206.8	243.4
APAC | Product Sales
Disaggregation of Revenue [Line Items]
Revenue	99.3	106.6	108.5
GPC
Disaggregation of Revenue [Line Items]
Revenue	1,151.5	1,139.0	1,175.3
GPC | Licensing
Disaggregation of Revenue [Line Items]
Revenue	9.8	10.0	9.9
GPC | Service and other
Disaggregation of Revenue [Line Items]
Revenue	5.1	5.7	6.2
GPC | NA | Product Sales
Disaggregation of Revenue [Line Items]
Revenue	706.4	710.7	749.8
GPC | EMEA | Product Sales
Disaggregation of Revenue [Line Items]
Revenue	388.5	361.3	353.6
GPC | LATAM | Product Sales
Disaggregation of Revenue [Line Items]
Revenue	12.7	18.0	19.3
GPC | APAC | Product Sales
Disaggregation of Revenue [Line Items]
Revenue	29.0	33.3	36.5
H&G
Disaggregation of Revenue [Line Items]
Revenue	578.6	536.5	587.1
H&G | Licensing
Disaggregation of Revenue [Line Items]
Revenue	2.3	2.1	2.2
H&G | Service and other
Disaggregation of Revenue [Line Items]
Revenue	0.0	0.0	0.0
H&G | NA | Product Sales
Disaggregation of Revenue [Line Items]
Revenue	567.0	527.1	576.8
H&G | EMEA | Product Sales
Disaggregation of Revenue [Line Items]
Revenue	0.0	0.0	0.0
H&G | LATAM | Product Sales
Disaggregation of Revenue [Line Items]
Revenue	9.3	7.3	8.0
H&G | APAC | Product Sales
Disaggregation of Revenue [Line Items]
Revenue	0.0	0.0	0.1
HPC
Disaggregation of Revenue [Line Items]
Revenue	1,233.8	1,243.3	1,370.1
HPC | Licensing
Disaggregation of Revenue [Line Items]
Revenue	7.5	7.8	10.3
HPC | Service and other
Disaggregation of Revenue [Line Items]
Revenue	0.6	1.3	1.4
HPC | NA | Product Sales
Disaggregation of Revenue [Line Items]
Revenue	474.0	514.4	609.7
HPC | EMEA | Product Sales
Disaggregation of Revenue [Line Items]
Revenue	491.6	465.0	460.7
HPC | LATAM | Product Sales
Disaggregation of Revenue [Line Items]
Revenue	189.8	181.5	216.1
HPC | APAC | Product Sales
Disaggregation of Revenue [Line Items]
Revenue	$ 70.3	$ 73.3	$ 71.9