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Stocks Plans - Additional Information (Detail) - USD ($) $ in Thousands | 1 Months Ended | 12 Months Ended
--- | --- | ---
Sep. 30, 2020 | Aug. 31, 2021 | Aug. 31, 2020
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Class A Common Stock were authorized for issuance |  | 7,825,000 |
Common Stock Registered to Cover Shares that Become Issuable |  | 1,800,000 |
Shares available for future grants |  | 5,177,996 |
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 |  | $ 12,700 |
Unrecognized compensation cost related to share-based compensation for stock options and restricted stock outstanding, recognition period |  | 1 year 9 months 18 days |
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 | $ 600 | $ 2,920 | $ 3,222
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 |  | 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 |  | 50.00% |
Restricted Stock |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Fair value of shares vested |  | $ 9,700 | $ 18,200
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 |

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- Definition Common Stock Registered to Cover Shares that Become Issuable, pursuant to the terms of the Plan, upon the expiration, cancellation or forfeiture of existing awards under the previously registered stock plans. + References No definition available. + Details
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- Definition 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. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 715 -SubTopic 20 -Section 50 -Paragraph 1 -Subparagraph (b)(5) -URI http://asc.fasb.org/extlink&oid=123447040&loc=d3e1928-114920 Reference 2: http://www.xbrl.org/2009/role/commonPracticeRef -Publisher FASB -Name Accounting Standards Codification -Topic 715 -SubTopic 60 -Section 50 -Paragraph 4 -URI http://asc.fasb.org/extlink&oid=6414203&loc=d3e39716-114964 + Details
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- Definition 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. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -URI http://asc.fasb.org/extlink&oid=120381028&loc=d3e5070-113901 + Details
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