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Goodwill and Other Intangible Assets (Schedule of Intangible Assets and Weighted Average Remaining Life Finite and Infinite Excluding Goodwill) (Details) - USD ($) $ in Thousands | 12 Months Ended
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Aug. 31, 2021 | Aug. 31, 2020
Finite And Indefinite Intangible Assets [Line Items] |  |
Amortizable intangible assets: weighted average years | 3 years 1 month 6 days | 3 years 6 months
Total, gross carrying amount | $ 55,858 | $ 57,368
Amortizable intangible assets: accumulated amortization | (35,491) | (33,891)
Tradenames [Member] |  |
Finite And Indefinite Intangible Assets [Line Items] |  |
Unamortizable intangible assets: gross carrying amount | $ 11,312 | $ 12,321
Patents and Developed Technology [Member] |  |
Finite And Indefinite Intangible Assets [Line Items] |  |
Amortizable intangible assets: weighted average years | 3 years 8 months 12 days | 4 years 3 months 18 days
Amortizable intangible assets: gross carrying amount | $ 27,085 | $ 27,082
Amortizable intangible assets: accumulated amortization | $ (23,931) | $ (22,905)
Customer Relationships [Member] |  |
Finite And Indefinite Intangible Assets [Line Items] |  |
Amortizable intangible assets: weighted average years | 2 years 7 months 6 days | 3 years 1 month 6 days
Amortizable intangible assets: gross carrying amount | $ 17,461 | $ 17,965
Amortizable intangible assets: accumulated amortization | $ (11,560) | $ (10,986)

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- Definition Accumulated amount of amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 30 -Section 50 -Paragraph 2 -Subparagraph (a)(1) -URI http://asc.fasb.org/extlink&oid=66006027&loc=d3e16323-109275 + Details
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