Stock-Based Compensation Plans (Unvested Stock Award) (Details) - Unvested Stock Awards [Member]	12 Months Ended
Aug. 31, 2024 $ / shares shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Unvested stock awards, Number of Shares \| shares	15,882
Granted, Number of Shares \| shares	23,136
Forfeited, Number of Shares \| shares
Vested, Number of Shares \| shares	(15,882)
Unvested stock awards, Number of Shares \| shares	23,136
Restricted stock awards, Weighted-Average Grant Date Fair Value Per Share \| $ / shares	$ 45.34
Granted, Weighted-Average Grant Date Fair Value Per Share \| $ / shares	41.50
Forfeited, Weighted-Average Grant Date Fair Value Per Share \| $ / shares
Vested, Weighted-Average Grant Date Fair Value Per Share \| $ / shares	45.34
Restricted stock awards, Weighted-Average Grant Date Fair Value Per Share \| $ / shares	$ 41.50

The number of equity-based payment instruments, excluding stock (or unit) options, that were forfeited during the reporting period.

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Weighted average fair value as of the grant date of equity-based award plans other than stock (unit) option plans that were not exercised or put into effect as a result of the occurrence of a terminating event.

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The number of grants made during the period on other than stock (or unit) option plans (for example, phantom stock or unit plan, stock or unit appreciation rights plan, performance target plan).

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The weighted average fair value at grant date for nonvested equity-based awards issued during the period on other than stock (or unit) option plans (for example, phantom stock or unit plan, stock or unit appreciation rights plan, performance target plan).

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The number of non-vested equity-based payment instruments, excluding stock (or unit) options, that validly exist and are outstanding as of the balance sheet date.

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Per share or unit weighted-average fair value of nonvested award under share-based payment arrangement. Excludes share and unit options.

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The number of equity-based payment instruments, excluding stock (or unit) options, that vested during the reporting period.

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The weighted average fair value as of grant date pertaining to an equity-based award plan other than a stock (or unit) option plan for which the grantee gained the right during the reporting period, by satisfying service and performance requirements, to receive or retain shares or units, other instruments, or cash in accordance with the terms of the arrangement.

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- Definition

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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