Stock-based Compensation - Schedule of Market Share Units Activity (Details) - Market Share Units - USD ($) $ / shares in Units, $ in Thousands	12 Months Ended
Aug. 31, 2024	Aug. 31, 2023	Aug. 31, 2022
Number of Units
Beginning outstanding (in shares)	33,949
Granted (in shares)	14,263
Forfeited (in shares)	(11,578)
Ending outstanding (in shares)	36,634	33,949
Weighted-Average Grant Date Fair Value Per Unit
Beginning outstanding (in dollars per share)	$ 198.05
Granted (in dollars per share)	226.30	$ 184.15	$ 232.99
Forfeited (in dollars per share)	185.15
Ending outstanding (in dollar par share)	$ 213.13	$ 198.05
Outstanding, aggregate intrinsic value	$ 9,629
Percent of original target number of vested shares	100.00%
Maximum
Weighted-Average Grant Date Fair Value Per Unit
Percent of original target number of vested shares	200.00%

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

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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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- Definition

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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- Definition

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
-Topic 718
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 2
-Subparagraph (c)(2)(i)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480429/718-10-50-2

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Topic 718
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 2
-Subparagraph (c)(2)(ii)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480429/718-10-50-2

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- Definition

A roll forward is a reconciliation of a concept from the beginning of a period to the end of a period.

+ References

No definition available.

+ Details

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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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- Definition

Percentage of vesting of award under share-based payment arrangement.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 718
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 2
-Subparagraph (a)(1)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480429/718-10-50-2

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- Definition

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

+ References

No definition available.

+ Details

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