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Share Repurchase Plan (Narrative) (Details) - USD ($) $ / shares in Units, $ in Thousands | 9 Months Ended | 33 Months Ended
--- | --- | ---
May 31, 2020 | May 31, 2019 | May 31, 2020
Equity, Class of Treasury Stock [Line Items] |  |  |
Total cost of repurchased shares | $ 16,825 | $ 22,384 |
2018 To 2020 Share Repurchase Program [Member] |  |  |
Equity, Class of Treasury Stock [Line Items] |  |  |
Share buy-back plan, amount authorized | $ 75,000 |  | $ 75,000
Share buy-back plan, number of shares repurchased | 92,583 |  | 268,538
Average price of shares repurchased | $ 181.71 |  |
Total cost of repurchased shares | $ 16,800 |  | $ 46,400
Maximum [Member] | 2018 To 2020 Share Repurchase Program [Member] |  |  |
Equity, Class of Treasury Stock [Line Items] |  |  |
Share buy-back plan, amount authorized | $ 75,000 |  | $ 75,000

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