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Summary of Operations and Significant Accounting Policies - Cash and Cash Equivalents - Additional Information (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Concentration Risk [Line Items]    
Percentage of cash balances 66.00% 56.00%
Investment, Type [Extensible Enumeration] U S Treasuries And F D I C Insured [Member] U S Treasuries And F D I C Insured [Member]
Amtech's    
Concentration Risk [Line Items]    
Cash Insured Limits $ 5.7 $ 6.0