Stockholders' Equity - Narrative (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	May 31, 2022	May 31, 2021	May 31, 2022	May 31, 2021
Equity [Abstract]
Repurchase of common stock (in shares)	0	178,100	46,200	531,859
Repurchases of common stock	$ 0	$ 57,571	$ 18,639	$ 172,210
Remaining authorized repurchase amount	$ 181,300		$ 181,300
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Shares repurchased from employees (in shares)			7,432	7,469
Value of shares repurchased in settlement of employee tax withholding obligations			$ 3,300	$ 2,400
Restricted stock
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting of restricted stock (in shares)			18,384	18,995
Shares repurchased from employees (in shares)			7,172	7,151
Value of shares repurchased in settlement of employee tax withholding obligations			$ 3,100	$ 2,300