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Derivative Financial Instruments (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Jun. 30, 2022
Jun. 30, 2021
Jun. 30, 2022
Jun. 30, 2021
Sep. 30, 2021
Derivative Instruments Activities Disclosures          
Derivative, notional amount         $ 350.0
AOCI, cumulative changes in net gain (loss), before tax         (7.1)
AOCI, Cash Flow Hedge, Cumulative Gain (Loss), after Tax         (6.7)
Payments on interest rate swaps     $ 1.5    
Derivative Liability, Current         4.7
Derivative Liability, Noncurrent         1.1
Derivative Liability         $ 5.8
Derivative loss (gain), net $ 0.0 $ 0.6 4.4 $ 1.6  
Derivative cash settlements paid, net 0.0 (1.2) (2.0) (3.6)  
Term Loan          
Derivative Instruments Activities Disclosures          
Write-off of Tax Benefit related to Interest Rate Swaps, previously recorded in AOCI     (0.4)    
Income Tax Expense Benefit | Term Loan          
Derivative Instruments Activities Disclosures          
Write-off of Tax Benefit related to Interest Rate Swaps, previously recorded in AOCI 0.0 (0.1) (0.4) (0.1)  
Fair Value Adjustment          
Derivative Instruments Activities Disclosures          
Derivative loss (gain), net 0.0 0.1 (2.3) 0.0  
Reclassified from AOCI | Interest expense, net          
Derivative Instruments Activities Disclosures          
Derivative loss (gain), net 0.0 0.6 1.0 1.7  
Reclassified from AOCI | Loss on extinguishment and refinancing of debt          
Derivative Instruments Activities Disclosures          
Derivative loss (gain), net $ 0.0 $ 0.0 $ 6.1 $ 0.0