Consolidated Statements of Operations - USD ($) shares in Thousands	12 Months Ended
	Aug. 31, 2024	Aug. 31, 2023	Aug. 31, 2022
Income Statement [Abstract]
Revenues	$ 2,738,692,000	$ 2,882,224,000	$ 3,485,815,000
Operating expense:
Cost of goods sold	2,561,591,000	2,574,513,000	2,997,745,000
Selling, general and administrative	248,336,000	265,929,000	263,257,000
(Income) from joint ventures	(1,400,000)	(2,090,000)	(2,740,000)
Goodwill impairment charges	215,941,000	39,270,000	0
Other asset impairment charges, net	1,476,000	5,797,000	1,570,000
Restructuring charges and other exit-related activities	6,729,000	2,730,000	77,000
Operating income (loss)	(293,981,000)	(3,925,000)	225,906,000
Interest expense	(26,898,000)	(18,589,000)	(8,538,000)
Other expense, net	(554,000)	(5,562,000)	(692,000)
Income (loss) from continuing operations before income taxes	(321,433,000)	(28,076,000)	216,676,000
Income tax (expense) benefit	55,285,000	2,747,000	(44,597,000)
Income (loss) from continuing operations	(266,148,000)	(25,329,000)	172,079,000
Loss from discontinued operations, net of tax	(76,000)	(109,000)	(83,000)
Net income (loss)	(266,224,000)	(25,438,000)	171,996,000
Net income attributable to noncontrolling interests	(187,000)	(353,000)	(3,196,000)
Net income (loss) attributable to Radius shareholders	$ (266,411,000)	$ (25,791,000)	$ 168,800,000
Net income (loss) per share attributable to Radius shareholders Basic:
Income (loss) per share from continuing operations	$ (9.37)	$ (0.92)	$ 6.01
Net income (loss) per share	(9.38)	(0.92)	6.01
Net income (loss) per share attributable to Radius shareholders Diluted:
Income (loss) per share from continuing operations	(9.37)	(0.92)	5.72
Net income (loss) per share	$ (9.38)	$ (0.92)	$ 5.72
Weighted Average Number of Shares Outstanding Reconciliation [Abstract]
Basic	28,417	28,008	28,084
Diluted	28,417	28,008	29,529