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, 2021	$ 839,779			$ 27,332	$ 200	$ 49,074	$ 793,712	$ (34,554)	$ 835,764	$ 4,015
Beginning balance (in shares) at Aug. 31, 2021				27,332	200
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income (loss)	171,996						168,800		168,800	3,196
Other comprehensive 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)
Issuance of restricted stock				$ 568		(568)
Issuance of restricted stock (in shares)				568
Restricted stock withheld for taxes	(11,057)			$ (209)		(10,848)			(11,057)
Restricted stock withheld for taxes (in shares)				(209)
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
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income (loss)	(25,438)						(25,791)		(25,791)	353
Other comprehensive loss, net of tax	(2,594)							(2,594)	(2,594)
Distributions to noncontrolling interests	(1,369)									(1,369)
Issuance of restricted stock				$ 847		(847)
Issuance of restricted stock (in shares)				847
Restricted stock withheld for taxes	(7,629)			$ (282)		(7,347)			(7,629)
Restricted stock withheld for taxes (in shares)				(282)
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
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income (loss)	(266,224)						(266,411)		(266,411)	187
Other comprehensive loss, net of tax	(489)							(489)	(489)
Distributions to noncontrolling interests	(1,038)									(1,038)
Issuance of restricted stock				$ 766		(766)
Issuance of restricted stock (in shares)				766
Restricted stock withheld for taxes	(5,282)			$ (239)		(5,043)			(5,282)
Restricted stock withheld for taxes (in shares)				(239)
Share-based compensation cost	8,602					8,602			8,602
Dividends	(21,488)						(21,488)		(21,488)
Ending balance at Aug. 31, 2024	$ 625,740			$ 27,839	$ 200	$ 28,828	$ 606,417	$ (40,172)	$ 623,112	$ 2,628
Ending balance (in shares) at Aug. 31, 2024		27,839	200	27,839	200