Segment Data and Foreign Operations - Revenue and Assets (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	May 31, 2022	May 31, 2021	May 31, 2022	May 31, 2021	Aug. 31, 2021
Concentration risk
Revenue	$ 88,619	$ 79,593	$ 237,582	$ 215,216
Property, plant and equipment, net	24,531		24,531		$ 24,267
Goodwill and Intangible assets, less accumulated amortization	133,268		133,268		144,820
United States
Concentration risk
Revenue	76,140	67,264	204,009	178,635
Property, plant and equipment, net	21,385		21,385		20,990
Goodwill and Intangible assets, less accumulated amortization	107,633		107,633		115,936
United Kingdom
Concentration risk
Revenue	6,604	6,184	17,125	19,208
Property, plant and equipment, net	2,050		2,050		2,174
Goodwill and Intangible assets, less accumulated amortization	3,589		3,589		3,905
All other Foreign
Concentration risk
Revenue	5,875	$ 6,145	16,448	$ 17,373
Property, plant and equipment, net	1,096		1,096		1,103
Goodwill and Intangible assets, less accumulated amortization	$ 22,046		$ 22,046		$ 24,979