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Share-based Payments - Estimate Fair Value of Performance Stock Units (Details) - Performance stock units - Stock Incentive Plan - $ / shares	12 Months Ended
	Aug. 31, 2025	Aug. 31, 2024	Aug. 31, 2023
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Dividend yield	0.00%	0.00%	0.00%
Expected volatility	33.10%	34.60%	46.70%
Risk-free interest rate	4.00%	4.90%	4.50%
Fair value of awards	$ 470.66	$ 241.39	$ 254.19

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- Definition

Share-Based Compensation Arrangement by Share-Based Payment Award, Fair Value Assumptions, Fair Value

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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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