Consolidated Statements of Operations - USD ($) shares in Thousands	12 Months Ended
	Aug. 31, 2023	Aug. 31, 2022	Aug. 31, 2021
Income Statement [Abstract]
Revenues	$ 2,882,224,000	$ 3,485,815,000	$ 2,758,551,000
Operating expense:
Cost of goods sold	2,574,513,000	2,997,745,000	2,305,357,000
Selling, general and administrative	265,929,000	263,257,000	242,463,000
(Income) from joint ventures	(2,090,000)	(2,740,000)	(4,006,000)
Goodwill impairment charges	39,270,000	0	0
Other asset impairment charges, net	5,797,000	1,570,000
Restructuring charges and other exit-related activities	2,730,000	77,000	1,008,000
Operating (loss) income	(3,925,000)	225,906,000	213,729,000
Interest expense	(18,589,000)	(8,538,000)	(5,285,000)
Other loss, net	(5,562,000)	(692,000)	(455,000)
Loss (income) from continuing operations before income taxes	(28,076,000)	216,676,000	207,989,000
Income tax benefit (expense)	(2,747,000)	44,597,000	37,935,000
(Loss) income from continuing operations	(25,329,000)	172,079,000	170,054,000
Loss from discontinued operations, net of tax	(109,000)	(83,000)	(79,000)
Net (loss) income	(25,438,000)	171,996,000	169,975,000
Net income attributable to noncontrolling interests	(353,000)	(3,196,000)	(4,863,000)
Net (loss) income attributable to Radius shareholders	$ (25,791,000)	$ 168,800,000	$ 165,112,000
Net (loss) income per share attributable to Radius shareholders Basic:
(Loss) income per share from continuing operations	$ (0.92)	$ 6.01	$ 5.9
Net (loss) income per share	(0.92)	6.01	5.90
Net (loss) income per share attributable to Radius shareholders Diluted:
(Loss) income per share from continuing operations	(0.92)	5.72	5.66
Net (loss) income per share	$ (0.92)	$ 5.72	$ 5.66
Weighted Average Number of Shares Outstanding Reconciliation [Abstract]
Basic	28,008	28,084	27,982
Diluted	28,008	29,529	29,193