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Organization (Details)
$ in Millions
3 Months Ended 6 Months Ended
Mar. 31, 2022
USD ($)
business_segments
Mar. 31, 2021
USD ($)
Mar. 31, 2022
USD ($)
Mar. 31, 2021
USD ($)
Sep. 30, 2021
USD ($)
Sep. 30, 2020
USD ($)
Segment Reporting Information [Line Items]            
Restructuring $ 2.1 $ 2.2 $ 2.1 $ 2.2 $ 3.1 $ 2.8
Restructuring and other charges 0.6 0.8 3.0 2.2    
Payments     2.6 1.6    
Pension costs (benefits) other then service $ (1.0) $ (0.8) $ (2.0) $ (1.6)    
Effective Income Tax Rate Reconciliation, at Federal Statutory Income Tax Rate, Percent 21.00% 21.00% 21.00% 21.00%    
Number of Reportable Segments | business_segments 2          
Proceeds from Other Equity, Gross Amount $ 4.8   $ 4.8      
Intercompany Loan related to NMTC 12.2   12.2      
Investment Fund Contribution for NMTC 16.5   16.5      
Sub-CDE loan from NMTC 16.2   16.2      
Mueller Co. [Member]            
Segment Reporting Information [Line Items]            
Restructuring and other charges $ 0.0 $ 0.0 $ 0.0 $ 0.1