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		9 Months Ended
	May 31, 2024	May 31, 2023	May 31, 2024	May 31, 2023
Earnings Per Share [Abstract]
(Loss) income from continuing operations	$ (198,490)	$ 13,841	$ (250,266)	$ 402
Net loss (income) attributable to noncontrolling interests	121	(148)	(13)	(299)
(Loss) income from continuing operations attributable to Radius shareholders	(198,369)	13,693	(250,279)	103
Loss from discontinued operations, net of tax	(21)	(233)	(54)	(78)
Net (loss) income attributable to Radius shareholders	$ (198,390)	$ 13,460	$ (250,333)	$ 25
Computation of shares:
Weighted average common shares outstanding, basic	28,479	28,114	28,385	27,980
Incremental common shares attributable to dilutive performance share awards, RSUs and DSUs		545		666
Weighted average common shares outstanding, diluted	28,479	28,659	28,385	28,646