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
	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)