Export Sales and Foreign Operations (Details) - USD ($) $ in Thousands	12 Months Ended
	Aug. 31, 2021	Aug. 31, 2020	Aug. 31, 2019
Concentration risk
Export sales	$ 33,439	$ 30,067	$ 30,582
Revenue	293,336	261,162	281,351
Property, plant and equipment, net	24,267	25,574
United States
Concentration risk
Revenue	245,476	226,690	248,281
United Kingdom
Concentration risk
Revenue	24,846	20,543	17,504
All other Foreign
Concentration risk
Revenue	23,014	13,929	$ 15,566
Long-lived assets
Concentration risk
Property, plant and equipment, net	24,267	25,574
Goodwill and Intangible assets, less accumulated amortization	144,820	123,602
Long-lived assets | United States
Concentration risk
Property, plant and equipment, net	20,990	22,427
Goodwill and Intangible assets, less accumulated amortization	115,936	117,930
Long-lived assets | United Kingdom
Concentration risk
Property, plant and equipment, net	2,174	2,320
Goodwill and Intangible assets, less accumulated amortization	3,905	4,403
Long-lived assets | All other Foreign
Concentration risk
Property, plant and equipment, net	1,103	827
Goodwill and Intangible assets, less accumulated amortization	$ 24,979	$ 1,269