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ACCUMULATED OTHER COMPREHENSIVE INCOME - Schedule of Accumulated Other Comprehensive Income (Details) - USD ($)
$ in Millions
 12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Balance at beginning of period $ 1,479.0 $ 1,415.8 $ 1,728.9
Other comprehensive income (loss) before reclassification (23.0) 44.0 (29.9)
Other comprehensive loss before tax (42.1) 58.0 (30.6)
Deferred tax effect (26.6) (8.2) 11.5
Other comprehensive income, net of tax (68.7) 49.8 (19.1)
Other comprehensive income attributable to controlling interest (67.8) 49.4 (11.1)
Balance at end of period 1,269.1 1,479.0 1,415.8
Cumulative Effect, Period of Adoption, Adjustment      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Balance at beginning of period     0.0
Coevorden operations      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Sale and deconsolidation of Coevorden operations     8.1
Continuing Operations      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Net reclassification for (gain) loss to income (16.6) 14.0 0.0
Less: other comprehensive income (loss) attributable to non-controlling interest (0.4)   0.1
Discontinued Operations      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Net reclassification for (gain) loss to income (2.5) 0.0 (0.7)
Less: other comprehensive income (loss) attributable to non-controlling interest (0.5) 0.4 0.3
Total      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Balance at beginning of period (235.3) (284.7) (273.6)
Balance at end of period (303.1) (235.3) (284.7)
Total | Cumulative Effect, Period of Adoption, Adjustment      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Balance at beginning of period     0.3
Foreign Currency Translation      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Balance at beginning of period (194.8) (226.6) (215.9)
Other comprehensive income (loss) before reclassification (72.0) 32.2 (18.5)
Other comprehensive loss before tax (72.0) 32.2 (18.5)
Deferred tax effect (20.0) 0.0 0.1
Other comprehensive income, net of tax (92.0) 32.2 (18.4)
Other comprehensive income attributable to controlling interest (91.1) 31.8 (10.7)
Balance at end of period (285.9) (194.8) (226.6)
Foreign Currency Translation | Cumulative Effect, Period of Adoption, Adjustment      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Balance at beginning of period     0.0
Foreign Currency Translation | Coevorden operations      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Sale and deconsolidation of Coevorden operations     8.1
Foreign Currency Translation | Continuing Operations      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Net reclassification for (gain) loss to income 0.0 0.0 0.0
Less: other comprehensive income (loss) attributable to non-controlling interest (0.4)   0.1
Foreign Currency Translation | Discontinued Operations      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Net reclassification for (gain) loss to income 0.0 0.0 0.0
Less: other comprehensive income (loss) attributable to non-controlling interest (0.5) 0.4 0.3
Derivative Instruments      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Balance at beginning of period 6.4 3.6 4.9
Other comprehensive income (loss) before reclassification 30.7 0.1 (6.2)
Other comprehensive loss before tax 8.1 9.4 (11.2)
Deferred tax effect 2.3 (6.6) 11.7
Other comprehensive income, net of tax 10.4 2.8 0.5
Other comprehensive income attributable to controlling interest 10.4 2.8 (1.3)
Balance at end of period 16.8 6.4 3.6
Derivative Instruments | Cumulative Effect, Period of Adoption, Adjustment      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Balance at beginning of period     (1.8)
Derivative Instruments | Coevorden operations      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Sale and deconsolidation of Coevorden operations     0.0
Derivative Instruments | Continuing Operations      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Net reclassification for (gain) loss to income (20.2) 9.2 (4.6)
Less: other comprehensive income (loss) attributable to non-controlling interest 0.0   0.0
Derivative Instruments | Discontinued Operations      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Net reclassification for (gain) loss to income (2.4) 0.1 (0.4)
Less: other comprehensive income (loss) attributable to non-controlling interest 0.0 0.0 0.0
Defined Benefit Pension      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Balance at beginning of period (46.9) (61.7) (62.6)
Other comprehensive income (loss) before reclassification 18.3 11.7 (5.2)
Other comprehensive loss before tax 21.8 16.4 (0.9)
Deferred tax effect (8.9) (1.6) (0.3)
Other comprehensive income, net of tax 12.9 14.8 (1.2)
Other comprehensive income attributable to controlling interest 12.9 14.8 0.9
Balance at end of period (34.0) (46.9) (61.7)
Defined Benefit Pension | Cumulative Effect, Period of Adoption, Adjustment      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Balance at beginning of period     2.1
Defined Benefit Pension | Coevorden operations      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Sale and deconsolidation of Coevorden operations     0.0
Defined Benefit Pension | Continuing Operations      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Net reclassification for (gain) loss to income 3.6 4.8 4.6
Less: other comprehensive income (loss) attributable to non-controlling interest 0.0   0.0
Defined Benefit Pension | Discontinued Operations      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Net reclassification for (gain) loss to income (0.1) (0.1) (0.3)
Less: other comprehensive income (loss) attributable to non-controlling interest $ 0.0 $ 0.0 $ 0.0