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Summary of Significant Accounting Policies - Property, Plant and Equipment (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Property, Plant and Equipment      
Impairment recognized $ 0 $ 0 $ 0
Building and Building Improvements [Member]      
Property, Plant and Equipment      
Estimated economic useful lives 40 years    
Machinery and Equipment [Member] | Minimum      
Property, Plant and Equipment      
Estimated economic useful lives 5 years    
Machinery and Equipment [Member] | Maximum      
Property, Plant and Equipment      
Estimated economic useful lives 14 years    
Land Improvements [Member]      
Property, Plant and Equipment      
Estimated economic useful lives 20 years