Stock-based Compensation - Schedule of Market Share Units Activity (Details) - Market Share Units - USD ($) $ / shares in Units, $ in Thousands	12 Months Ended
Aug. 31, 2026	Aug. 31, 2025	Aug. 31, 2024
Number of Units
Beginning outstanding (in shares)	40,839
Granted (in shares)	19,622
Performance factor adjustments (in shares)	445
Converted to shares of common stock (in shares)	(13,239)
Forfeited (in shares)	(838)
Ending outstanding (in shares)	46,829	40,839
Weighted-Average Grant Date Fair Value Per Unit
Beginning outstanding (in dollars per share)	$ 232.74
Granted (in dollars per share)	124.34	$ 281.09	$ 226.30
Performance factor adjustments (in dollars per share)	185.32
Converted to shares of common stock (in dollars per share)	184.97
Forfeited (in dollars per share)	246.30
Ending outstanding (in dollar par share)	$ 200.13	$ 232.74
Outstanding, aggregate intrinsic value	$ 10,028
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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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.

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No definition available.

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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

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 718
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 4
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480429/718-10-50-4

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- Definition

Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Converted in Period

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- Definition

Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Converted in Period, Weighted Average Grant Date Fair Value

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No definition available.

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- Definition

Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Performance Factor Adjustments

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Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Performance Factor Adjustments, Weighted Average Grant Date Fair Value

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No definition available.

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