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Summary of Significant Accounting Policies - Property, Plant, and Equipment (Details)
12 Months Ended
Sep. 30, 2022
Building  
Property, Plant and Equipment [Line Items]  
Estimated useful life (years) 40 years
Equipment | Minimum  
Property, Plant and Equipment [Line Items]  
Estimated useful life (years) 3 years
Equipment | Maximum  
Property, Plant and Equipment [Line Items]  
Estimated useful life (years) 7 years
Furniture and fixtures  
Property, Plant and Equipment [Line Items]  
Estimated useful life (years) 5 years
Computer hardware and software | Minimum  
Property, Plant and Equipment [Line Items]  
Estimated useful life (years) 3 years
Computer hardware and software | Maximum  
Property, Plant and Equipment [Line Items]  
Estimated useful life (years) 5 years