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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, 2019 | Aug. 31, 2018
Finite And Indefinite Intangible Assets [Line Items] |  |
Amortizable intangible assets: weighted average years | 3 years 9 months 18 days | 5 years 6 months
Total, gross carrying amount | $ 56,475 | $ 56,834
Amortizable intangible assets: accumulated amortization | (32,093) | (29,457)
Tradenames [Member] |  |
Finite And Indefinite Intangible Assets [Line Items] |  |
Unamortizable intangible assets: gross carrying amount | $ 12,247 | $ 12,297
Patents and Developed Technology [Member] |  |
Finite And Indefinite Intangible Assets [Line Items] |  |
Amortizable intangible assets: weighted average years | 4 years | 5 years 8 months 12 days
Amortizable intangible assets: gross carrying amount | $ 26,547 | $ 26,831
Amortizable intangible assets: accumulated amortization | $ (21,097) | $ (19,656)
Customer Relationships [Member] |  |
Finite And Indefinite Intangible Assets [Line Items] |  |
Amortizable intangible assets: weighted average years | 3 years 7 months 6 days | 5 years 2 months 12 days
Amortizable intangible assets: gross carrying amount | $ 16,439 | $ 16,459
Amortizable intangible assets: accumulated amortization | $ (9,779) | $ (8,668)
Non-compete Agreements [Member] |  |
Finite And Indefinite Intangible Assets [Line Items] |  |
Amortizable intangible assets: weighted average years | 4 months 24 days | 9 months 18 days
Amortizable intangible assets: gross carrying amount | $ 1,132 | $ 1,137
Amortizable intangible assets: accumulated amortization | $ (1,107) | $ (1,048)
Other Intangible Assets [Member] |  |
Finite And Indefinite Intangible Assets [Line Items] |  |
Amortizable intangible assets: weighted average years | 0 years | 1 year 1 month 6 days
Amortizable intangible assets: gross carrying amount | $ 110 | $ 110
Amortizable intangible assets: accumulated amortization | $ (110) | $ (85)

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