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Stock-Based Compensation (Fair Value Assumptions) (Details) - Stock Options - $ / shares	6 Months Ended
	Mar. 31, 2025	Mar. 31, 2024
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Weighted average per option grant date fair value	$ 16.23	$ 12.44
Assumptions Used For Options Grants [Abstract]
Risk free interest rate, minimum	4.31%	4.45%
Risk free interest rate, maximum	4.38%	4.68%
Expected term	6 years	6 years
Expected volatility rate		46.00%
Weighted average volatility	48.00%	46.00%
Expected dividend yield	0.00%	0.00%
Minimum
Assumptions Used For Options Grants [Abstract]
Expected volatility rate	48.00%

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The estimated dividend rate (a percentage of the share price) to be paid (expected dividends) to holders of the underlying shares over the option's term.

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The estimated measure of the percentage by which a share price is expected to fluctuate during a period. Volatility also may be defined as a probability-weighted measure of the dispersion of returns about the mean. The volatility of a share price is the standard deviation of the continuously compounded rates of return on the share over a specified period. That is the same as the standard deviation of the differences in the natural logarithms of the stock prices plus dividends, if any, over the period.

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The maximum risk-free interest rate assumption that is used in valuing an option on its own shares.

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The minimum risk-free interest rate assumption that is used in valuing an option on its own shares.

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Rate of weighted-average expected volatility for award under share-based payment arrangement.

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Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

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The weighted average grant-date fair value of options granted during the reporting period as calculated by applying the disclosed option pricing methodology.

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Expected term of award under share-based payment arrangement, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days.

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