Net (Loss) Income Per Share - Schedule of Basic and Diluted Net (Loss) Income Per Share (Details) - USD ($) shares in Thousands, $ in Thousands	3 Months Ended		6 Months Ended
	Feb. 29, 2024	Feb. 28, 2023	Feb. 29, 2024	Feb. 28, 2023
Earnings Per Share [Abstract]
(Loss) income from continuing operations	$ (33,979)	$ 4,048	$ (51,775)	$ (13,439)
Net loss (income) attributable to noncontrolling interests	31	81	(135)	(151)
(Loss) income from continuing operations attributable to Radius shareholders	(33,948)	4,129	(51,910)	(13,590)
(Loss) income from discontinued operations, net of tax	(31)	224	(33)	155
Net (loss) income attributable to Radius shareholders	$ (33,979)	$ 4,353	$ (51,943)	$ (13,435)
Computation of shares:
Weighted average common shares outstanding, basic	28,454	28,081	28,337	27,912
Incremental common shares attributable to dilutive performance share awards, restricted stock units and deferred stock units		536
Weighted average common shares outstanding, diluted	28,454	28,617	28,337	27,912