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Stock-Based Compensation - Schedule of Share-Based Payment Award, Performance-based Awards, Valuation Assumptions (Details) - Performance Shares [Member] - $ / shares	12 Months Ended
	Sep. 30, 2025	Sep. 30, 2024	Sep. 30, 2023
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Dividend yield	0.00%	0.00%	0.00%
Minimum
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Volatility	24.06%	22.60%	31.74%
Expected term (in years)	10 months 28 days	10 months 28 days	10 months 28 days
Risk-free interest rate	4.14%	4.72%	4.44%
Fair Value, Per Share	$ 339.61	$ 192.58	$ 157.36
Maximum
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Volatility	30.78%	32.35%	40.59%
Expected term (in years)	2 years 10 months 28 days	2 years 10 months 28 days	2 years 10 months 28 days
Risk-free interest rate	4.26%	5.32%	4.66%
Fair Value, Per Share	$ 346.95	$ 210.37	$ 194.41

X

- Definition

Share-based Compensation Arrangement by Share-based Payment Award, Fair Value Assumptions, Per Share

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

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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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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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