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Significant Accounting Policies (Details) - USD ($)
$ in Millions
9 Months Ended 12 Months Ended
Jun. 30, 2025
Jun. 30, 2024
Sep. 30, 2024
Acquired Indefinite-lived Intangible Assets [Line Items]      
Estimated useful live of intangible assets 10 years    
Impairment loss of long-lived asset     $ 0.0
Uncertain tax positions $ 0.0   0.0
Income tax interest expense 0.0 $ 0.0  
Income tax penalties expense 0.0 $ 0.0  
Allowance for doubtful accounts $ 0.0   $ 0.0
Treasury stock held (in shares) 0   0
Preferred shares authorized (in shares) 5,000,000   5,000,000
Preferred stock issued (in shares) 0   0
Employee Stock Option | 2025 Plan      
Acquired Indefinite-lived Intangible Assets [Line Items]      
Expiration term of share-based compensation plan 10 years    
Minimum      
Acquired Indefinite-lived Intangible Assets [Line Items]      
Estimated useful of long-lived assets 3 years    
Minimum | Facilities and Equipment      
Acquired Indefinite-lived Intangible Assets [Line Items]      
Operating lease term (in years) 1 year    
Maximum      
Acquired Indefinite-lived Intangible Assets [Line Items]      
Estimated useful of long-lived assets 7 years    
Maximum | Facilities and Equipment      
Acquired Indefinite-lived Intangible Assets [Line Items]      
Operating lease term (in years) 6 years 6 months