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Share-Based Compensation (Narrative) (Details) - USD ($) $ / shares in Units, $ in Thousands | 3 Months Ended
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Nov. 30, 2022 | Nov. 30, 2021
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |
Share-based compensation expense | $ 1,600 | $ 1,300
Share withheld for payroll tax obligations | $ 2,471 | $ 1,181
Restricted Stock Units [Member] |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |
Shares to be settled in cash | 2,112 | 2,248
Weighted average grant-date stock price of awards to be settled in cash | $ 156.16 | $ 145.93
Performance Stock Units [Member] |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |
Vesting period | 3 years |
Performance Stock Units [Member] | Minimum [Member] |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |
Percentage of awards actually earned | 0.00% |
Performance Stock Units [Member] | Maximum [Member] |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |
Percentage of awards actually earned | 200.00% |

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- Definition Share based compensation arrangement by share based payment award equity instruments other than options grants in period to be settled in cash. + References No definition available. + Details
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- Definition Amount of expense for award under share-based payment arrangement. Excludes amount capitalized. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (h)(1)(i) -URI https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901 + Details
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- Definition Amount of cash outflow to satisfy grantee's tax withholding obligation for award under share-based payment arrangement. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 230 -SubTopic 10 -Section 45 -Paragraph 15 -Subparagraph (a) -URI https://asc.fasb.org/extlink&oid=126954810&loc=d3e3291-108585 + Details
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- Definition Period over which grantee's right to exercise award under share-based payment arrangement is no longer contingent on satisfaction of service or performance condition, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days. Includes, but is not limited to, combination of market, performance or service condition. + References Reference 1: http://www.xbrl.org/2003/role/exampleRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (a)(1) -URI https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901 + Details
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