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Pension and Other Post-Retirement Benefits - Additional Information (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2019
Sep. 30, 2018
Sep. 30, 2017
Defined Benefit Plan Disclosure [Line Items]      
Employer contributions to 401(k) Plan, percentage of employee contributions 50.00%    
Employer contributions to 401(k) Plan, percentage of eligible salary 6.00%    
Total contributions to 401(k) Plan $ 8.1 $ 6.7 $ 6.7
Defined Benefit Plan, Net Periodic Benefit Cost (Credit) $ (0.1) (0.3) $ 0.4
Document Period End Date Sep. 30, 2019    
Defined Benefit Plan, Benefit Obligation $ 39.9 34.7  
Defined Benefit Plan, Funded (Unfunded) Status of Plan $ (16.8) $ (11.1)