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ACCUMULATED OTHER COMPREHENSIVE INCOME - Schedule of Accumulated Other Comprehensive Income (Details) - USD ($)
$ in Millions
 12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Balance at beginning of period $ 2,518.3 $ 1,269.1  
Other comprehensive income (loss) before reclassification 24.3 1.2 $ (23.0)
Other comprehensive income (loss) before tax 42.9 16.4 (42.1)
Deferred tax effect 2.6 12.3 (26.6)
Other comprehensive income, net of tax   28.7  
Net change to derive comprehensive income for the periods 45.5 54.8 (68.7)
Balance at end of period 2,141.7 2,518.3 1,269.1
Continuing Operations      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Net reclassification for loss (gain) to income 18.6 13.0 (16.6)
Other comprehensive income, net of tax   28.7  
Discontinued Operations      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Net reclassification for loss (gain) to income   2.2 (2.5)
Sale and deconsolidation of Coevorden operations   26.1  
Accumulated Other Comprehensive Loss      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Balance at beginning of period (249.4) (303.1) (235.3)
Other comprehensive income, net of tax   28.4  
Net change to derive comprehensive income for the periods 45.4    
Other comprehensive income (loss) attributable to controlling interest 45.4 53.7 (67.8)
Balance at end of period (204.0) (249.4) (303.1)
Foreign Currency Translation      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Balance at beginning of period (216.1) (285.9) (194.8)
Other comprehensive income (loss) attributable to controlling interest 52.0 69.8 (91.1)
Balance at end of period (164.1) (216.1) (285.9)
Foreign Currency Translation      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Other comprehensive income (loss) before reclassification 49.6 37.3 (72.0)
Other comprehensive income (loss) before tax 52.0 37.3 (72.0)
Deferred tax effect 0.1 7.0 (20.0)
Net change to derive comprehensive income for the periods 52.1 70.9 (92.0)
Foreign Currency Translation | Continuing Operations      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Net reclassification for loss (gain) to income 2.4 0.0 0.0
Other comprehensive income, net of tax   44.3  
Foreign Currency Translation | Discontinued Operations      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Net reclassification for loss (gain) to income   0.0 0.0
Sale and deconsolidation of Coevorden operations   26.6  
Derivative Instruments      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Balance at beginning of period 1.4 16.8 6.4
Other comprehensive income (loss) attributable to controlling interest (3.6) (15.4) 10.4
Balance at end of period (2.2) 1.4 16.8
Derivative Instruments      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Other comprehensive income (loss) before reclassification (20.0) (35.3) 30.7
Other comprehensive income (loss) before tax (4.8) (20.8) 8.1
Deferred tax effect 1.2 5.4 2.3
Net change to derive comprehensive income for the periods (3.6) (15.4) 10.4
Derivative Instruments | Continuing Operations      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Net reclassification for loss (gain) to income 15.2 12.2 (20.2)
Other comprehensive income, net of tax   (15.4)  
Derivative Instruments | Discontinued Operations      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Net reclassification for loss (gain) to income   2.3 (2.4)
Sale and deconsolidation of Coevorden operations   0.0  
Defined Benefit Pension      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Balance at beginning of period (34.7) (34.0) (46.9)
Other comprehensive income (loss) attributable to controlling interest (3.0) (0.7) 12.9
Balance at end of period (37.7) (34.7) (34.0)
Defined Benefit Pension      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Other comprehensive income (loss) before reclassification (5.3) (0.8) 18.3
Other comprehensive income (loss) before tax (4.3) (0.1) 21.8
Deferred tax effect 1.3 (0.1) (8.9)
Net change to derive comprehensive income for the periods (3.0) (0.7) 12.9
Defined Benefit Pension | Continuing Operations      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Net reclassification for loss (gain) to income 1.0 0.8 3.6
Other comprehensive income, net of tax   (0.2)  
Defined Benefit Pension | Discontinued Operations      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Net reclassification for loss (gain) to income   (0.1) (0.1)
Sale and deconsolidation of Coevorden operations   (0.5)  
AOCI Attributable to Noncontrolling Interest | Continuing Operations      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Less: other comprehensive income (loss) from operations attributable to non-controlling interest 0.1 0.3 (0.4)
AOCI Attributable to Noncontrolling Interest | Discontinued Operations      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Less: other comprehensive income (loss) from operations attributable to non-controlling interest     (0.5)
Less: Deconsolidation of discontinued operations   0.8  
Foreign Currency Translation, Noncontrolling Interest | Continuing Operations      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Less: other comprehensive income (loss) from operations attributable to non-controlling interest 0.1 0.3 (0.4)
Foreign Currency Translation, Noncontrolling Interest | Discontinued Operations      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Less: other comprehensive income (loss) from operations attributable to non-controlling interest     (0.5)
Less: Deconsolidation of discontinued operations   0.8  
Derivative Instruments, Noncontrolling Interest | Continuing Operations      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Less: other comprehensive income (loss) from operations attributable to non-controlling interest 0.0 0.0 0.0
Derivative Instruments, Noncontrolling Interest | Discontinued Operations      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Less: other comprehensive income (loss) from operations attributable to non-controlling interest     0.0
Less: Deconsolidation of discontinued operations   0.0  
Defined Benefit Pension, Noncontrolling Interest | Continuing Operations      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Less: other comprehensive income (loss) from operations attributable to non-controlling interest $ 0.0 0.0 0.0
Defined Benefit Pension, Noncontrolling Interest | Discontinued Operations      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Less: other comprehensive income (loss) from operations attributable to non-controlling interest     $ 0.0
Less: Deconsolidation of discontinued operations   $ 0.0