Consolidated Statements of Comprehensive (Loss) Income - USD ($) $ in Thousands	12 Months Ended
	Aug. 31, 2023	Aug. 31, 2022	Aug. 31, 2021
Statement of Comprehensive Income [Abstract]
Net (loss) income	$ (25,438)	$ 171,996	$ 169,975
Other comprehensive (loss) income, net of tax:
Foreign currency translation adjustments	(2,661)	(3,070)	2,575
Cash flow hedges, net	(304)
Pension obligations, net	371	535	(258)
Total other comprehensive (loss) income, net of tax	(2,594)	(2,535)	2,317
Comprehensive (loss) income	(28,032)	169,461	172,292
Less comprehensive income attributable to noncontrolling interests	(353)	(3,196)	(4,863)
Comprehensive (loss) income attributable to Radius shareholders	$ (28,385)	$ 166,265	$ 167,429