Stocks Plans - Additional Information (Detail) - USD ($) $ in Thousands	12 Months Ended
Aug. 31, 2024	Aug. 31, 2023
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Class A Common Stock were authorized for issuance	7,825,000
Shares available for future grants	3,191,321
Exercise price as percentage of fair market value at grant date	100.00%
Unrecognized compensation cost related to share-based compensation for stock options and restricted stock outstanding	$ 9,700
Unrecognized compensation cost related to share-based compensation for stock options and restricted stock outstanding, recognition period	1 year 6 months
Share-based Compensation Arrangement by Share-based Payment Award, Number of Additional Shares Authorized	3,500,000
Domestic Plan Member
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Defined Benefit Plan, Plan Assets, Benefits Paid	$ 3,336	$ 3,289
Performance Shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Performance period	3 years
Performance Shares \| Free Cash Flow Conversion Target
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage	33.30%	50.00%
Performance Shares \| Total Shareholders Return
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage	33.30%	50.00%
Performance Shares \| Adjusted Earnings Per Share
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage	33.30%
Restricted Stock
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Fair value of shares vested	$ 8,300	$ 9,800
After Three Years
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage	50.00%
After Five Years
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage	100.00%
Maximum \| Stock Options
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock options term	10 years

Percentage Of Fair Market Value Of Common Stock On Grant Date

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Amount of payment to participant under defined benefit plan which decreases plan assets. For pension plan, payment includes, but is not limited to, pension benefits and death benefits. For other postretirement plan, payment includes, but is not limited to, prescription drug benefits, health care benefits, life insurance benefits, and legal, educational and advisory services.

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Weighted-average period over which cost not yet recognized is expected to be recognized for award under share-based payment arrangement, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days.

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Fair value of share-based awards for which the grantee gained the right by satisfying service and performance requirements, to receive or retain shares or units, other instruments, or cash.

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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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Number of additional shares authorized for issuance under share-based payment arrangement.

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Number of shares authorized for issuance under share-based payment arrangement.

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The difference between the maximum number of shares (or other type of equity) authorized for issuance under the plan (including the effects of amendments and adjustments), and the sum of: 1) the number of shares (or other type of equity) already issued upon exercise of options or other equity-based awards under the plan; and 2) shares (or other type of equity) reserved for issuance on granting of outstanding awards, net of cancellations and forfeitures, if applicable.

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

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Period from grant date that an equity-based award expires, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

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