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, 2020	Aug. 31, 2019
Finite And Indefinite Intangible Assets [Line Items]
Amortizable intangible assets: weighted average years	3 years 6 months	3 years 9 months 18 days
Total, gross carrying amount	$ 57,368	$ 56,365
Amortizable intangible assets: accumulated amortization	(33,891)	(31,983)
Tradenames [Member]
Finite And Indefinite Intangible Assets [Line Items]
Unamortizable intangible assets: gross carrying amount	$ 12,321	$ 12,247
Patents and Developed Technology [Member]
Finite And Indefinite Intangible Assets [Line Items]
Amortizable intangible assets: weighted average years	4 years 3 months 18 days	4 years
Amortizable intangible assets: gross carrying amount	$ 27,082	$ 26,547
Amortizable intangible assets: accumulated amortization	$ (22,905)	$ (21,097)
Customer Relationships [Member]
Finite And Indefinite Intangible Assets [Line Items]
Amortizable intangible assets: weighted average years	3 years 1 month 6 days	3 years 7 months 6 days
Amortizable intangible assets: gross carrying amount	$ 17,965	$ 16,439
Amortizable intangible assets: accumulated amortization	$ (10,986)	$ (9,779)
Non-compete Agreements [Member]
Finite And Indefinite Intangible Assets [Line Items]
Amortizable intangible assets: weighted average years		4 months 24 days
Amortizable intangible assets: gross carrying amount		$ 1,132
Amortizable intangible assets: accumulated amortization		$ (1,107)