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Share-Based Compensation (Narrative) (Details) - USD ($) $ / shares in Units, $ in Thousands | 3 Months Ended
--- | ---
Nov. 30, 2021 | Nov. 30, 2020
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |
Share-based compensation expense | $ 1,300 | $ 1,700
Share withheld for payroll tax obligations | $ 1,181 | $ 1,269
Restricted Stock Units [Member] |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |
Shares to be settled in cash | 2,248 | 2,162
Weighted average grant-date stock price of awards to be settled in cash | $ 145.93 | $ 110.21
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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