Stock-Based Compensation - Information (Details) - shares	3 Months Ended
	Dec. 31, 2024	Aug. 31, 2024
Performance-based stock options
Share-based Compensation
Term of award	10 years
2024 Equity Incentive Plan
Share-based Compensation
Share-based stock authorized (in shares)		7,303,677
Share-based stock available for grant (in shares)	4,287,050
Term of award	10 years
2024 Equity Incentive Plan | Minimum
Share-based Compensation
Vesting period	1 year
2024 Equity Incentive Plan | Maximum
Share-based Compensation
Vesting period	4 years