Income Taxes - Reconciliation (Details) - USD ($) $ in Thousands	3 Months Ended	12 Months Ended
	Nov. 30, 2017	Aug. 31, 2022	Aug. 31, 2021	Aug. 31, 2020
Domestic and foreign pre-tax income
United States		$ 49,015	$ 52,182	$ 42,027
Foreign		9,583	6,412	3,293
Income before income taxes		58,598	58,594	45,320
Current:
Federal		10,346	11,677	9,157
State		2,589	782	1,813
Foreign		2,015	2,123	962
Total current income tax provision		14,950	14,582	11,932
Deferred:
Federal		(775)	(832)	(520)
State		47	(124)	(184)
Foreign		(295)	48	(65)
Total deferred income tax provision (benefit)		(1,023)	(908)	(769)
Total income tax provision		$ 13,927	$ 13,674	$ 11,163
Reconciliation of the effective income tax rate on continuing operations with the U.S. federal statutory income tax rate
Federal statutory rates (as a percent)	35.00%	21.00%	21.00%	21.00%
Adjustment resulting from the tax effect of:
State and local taxes, net of federal benefit (as a percent)		2.30%	2.30%	3.00%
Foreign tax rate differential (as a percent)		(0.30%)	(0.30%)	0.00%
Adjustment to uncertain tax position (as a percent)		(0.50%)	0.10%	(1.10%)
Transaction costs not deductible		0.80%	0.00%	0.50%
Research credit generated (as a percent)		(0.10%)	(0.10%)	(0.10%)
Stock Compensation (as a percent)		0.00%	(0.30%)	(0.30%)
Permanent items (as a percent)		2.20%	1.10%	0.90%
GILTI and Subpart F, net of foreign tax credit		0.20%	0.30%	0.30%
Other (as a percent)		(0.30%)	(0.40%)	0.40%
Deferred income tax remeasurement (as a percent)		(0.50%)	0.10%	0.00%
Foreign Derived Intangible Income		(1.20%)	(1.10%)	0.00%
Performance-based earnout contingency		0.20%	0.60%	0.00%
Effective income tax rate (as a percent)		23.80%	23.30%	24.60%