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Stock-based Compensation - Schedule of Restricted Stock Units Activity (Details) - Restricted Stock Units - USD ($) $ / shares in Units, $ in Thousands	12 Months Ended
	Aug. 31, 2025	Aug. 31, 2024	Aug. 31, 2023
Number of Units
Beginning outstanding (in shares)	70,148
Granted (in shares)	18,522
Converted to shares of common stock (in shares)	(25,375)
Forfeited (in shares)	(106)
Ending outstanding (in shares)	63,189	70,148
Vested (in shares)	35,354
Weighted-Average Grant Date Fair Value Per Unit
Beginning outstanding (in dollars per share)	$ 164.03
Granted (in dollars per share)	253.47	$ 206.85	$ 167.05
Converted to shares of common stock (in dollars per share)	144.44
Forfeited (in dollars per share)	225.43
Ending outstanding (in dollar par share)	198.01	$ 164.03
Vested (in dollars per share)	$ 181.66
Outstanding, aggregate intrinsic value	$ 13,651
Vested, aggregate intrinsic value	$ 7,638

X

- Definition

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

+ References

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-Topic 718
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- Definition

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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- Definition

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.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
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A roll forward is a reconciliation of a concept from the beginning of a period to the end of a period.

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- Definition

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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Intrinsic value of nonvested award under share-based payment arrangement. Excludes share and unit options.

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