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Stockholders' Equity - Schedule of Reclassifications From Accumulated Other Comprehensive Income (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2025
Sep. 30, 2024
Sep. 30, 2023
Accumulated Other Comprehensive Income (Loss) [Line Items]      
Amortization of pension and other postretirement plan prior service credits $ 23.6 $ 11.7 $ (27.6)
Business disposal 4.1 3.0 (1,220.3)
Income tax expense (benefit) 77.5 69.1 37.1
Discontinued Operations, Held-for-sale      
Accumulated Other Comprehensive Income (Loss) [Line Items]      
Business disposal 4.1 3.0 (1,220.3)
Income tax expense (benefit) 2.9 (11.1) 432.6
Currency translation adjustment loss 4.4 30.7  
Net periodic benefit costs (income)     (0.1)
Reclassification out of Accumulated Other Comprehensive Income      
Accumulated Other Comprehensive Income (Loss) [Line Items]      
Amortization of pension and other postretirement plan prior service credits (2.1) (2.1) (2.1)
Business disposal 0.0 4.4 30.6
Loss (gain) on cash flow hedges 0.0 2.3 12.7
Income tax expense (benefit) 0.4 2.5 3.0
Other comprehensive income (loss), net of tax $ (1.7) $ 7.1 $ 44.2