GOODWILL AND OTHER INTANGIBLE ASSETS - Components of Other Intangible Assets, Activity (Details) - USD ($) $ in Thousands	12 Months Ended
	Sep. 30, 2020	Sep. 30, 2019
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount, beginning balance	$ 817,735
Impairment	(1,864)
FX and Other	5,901
Gross carrying amount, ending balance	821,772
Accumulated Amortization	197,978	$ 110,861
Net	623,794	706,874
Indefinite-lived Intangible Assets [Line Items]
Other indefinite-lived intangibles, beginning balance	47,170
Other indefinite-lived intangibles, ending balance	47,170
Intangible Assets, Gross (Excluding Goodwill) [Abstract]
Total other intangible assets, gross	868,942	864,905
Total other intangible assets, net	670,964	754,044
Other Intangible Assets
Indefinite-lived Intangible Assets [Line Items]
Other indefinite-lived intangibles, beginning balance	47,170
Other indefinite-lived intangibles, ending balance	47,170
Customer relationships, trade names, and distribution rights
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount, beginning balance	684,764
Impairment	(1,419)
FX and Other	7,371
Gross carrying amount, ending balance	690,716
Accumulated Amortization	140,037	64,471
Net	550,679	620,293
Product technology, trade secrets and know-how
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount, beginning balance	123,948
Impairment	(343)
FX and Other	(1,470)
Gross carrying amount, ending balance	122,135
Accumulated Amortization	49,228	37,993
Net	72,907	85,955
Acquired patents and licenses
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount, beginning balance	9,023
Impairment	(102)
FX and Other	0
Gross carrying amount, ending balance	8,921
Accumulated Amortization	8,713	8,397
Net	$ 208	$ 626