Significant Accounting Policies (Details) - USD ($) $ in Millions	3 Months Ended	6 Months Ended
	Dec. 31, 2024	Mar. 31, 2025	Mar. 31, 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