Consolidated Statements of Equity - USD ($) shares in Thousands, $ in Thousands	Total	Class A Common Stock	Class B Common Stock	Common Stock Class A Common Stock	Common Stock Class B Common Stock	Additional Paid-in Capital	Retained Earnings	Accumulated Other Comprehensive Loss	Total Radius Shareholders' Equity	Noncontrolling Interests
Beginning balance at Aug. 31, 2020	$ 680,436			$ 26,899	$ 200	$ 36,616	$ 649,863	$ (36,871)	$ 676,707	$ 3,729
Beginning balance (in shares) at Aug. 31, 2020				26,899	200
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net (loss) income	169,975						165,112		165,112	4,863
Other comprehensive income (loss), net of tax	2,317							2,317	2,317
Distributions to noncontrolling interests	(4,577)									(4,577)
Restricted stock withheld for taxes	(5,638)			$ (224)		(5,414)			(5,638)
Restricted stock withheld for taxes (in shares)				(224)
Issuance of restricted stock				$ 657		(657)
Issuance of restricted stock (in shares)				657
Share-based compensation cost	18,529					18,529			18,529
Dividends	(21,263)						(21,263)		(21,263)
Ending balance at Aug. 31, 2021	839,779			$ 27,332	$ 200	49,074	793,712	(34,554)	835,764	4,015
Ending balance (in shares) at Aug. 31, 2021				27,332	200
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net (loss) income	171,996						168,800		168,800	3,196
Other comprehensive income (loss), net of tax	(2,535)							(2,535)	(2,535)
Distributions to noncontrolling interests	(2,716)									(2,716)
Share repurchases	(34,248)			$ (944)		(33,304)			(34,248)
Share repurchase (in shares)				(944)
Restricted stock withheld for taxes	(11,057)			$ (209)		(10,848)			(11,057)
Restricted stock withheld for taxes (in shares)				(209)
Issuance of restricted stock				$ 568		(568)
Issuance of restricted stock (in shares)				568
Share-based compensation cost	18,621					18,621			18,621
Dividends	(21,366)						(21,366)		(21,366)
Ending balance at Aug. 31, 2022	958,474			$ 26,747	$ 200	22,975	941,146	(37,089)	953,979	4,495
Ending balance (in shares) at Aug. 31, 2022		26,747	200	26,747	200
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net (loss) income	(25,438)						(25,791)		(25,791)	353
Other comprehensive income (loss), net of tax	(2,594)							(2,594)	(2,594)
Distributions to noncontrolling interests	(1,369)									(1,369)
Restricted stock withheld for taxes	(7,629)			$ (282)		(7,347)			(7,629)
Restricted stock withheld for taxes (in shares)				(282)
Issuance of restricted stock				$ 847		(847)
Issuance of restricted stock (in shares)				847
Share-based compensation cost	11,254					11,254			11,254
Dividends	(21,039)						(21,039)		(21,039)
Ending balance at Aug. 31, 2023	$ 911,659			$ 27,312	$ 200	$ 26,035	$ 894,316	$ (39,683)	$ 908,180	$ 3,479
Ending balance (in shares) at Aug. 31, 2023		27,312	200	27,312	200