Segments - Summary of Segment Operating Results (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Sep. 30, 2024	Sep. 30, 2023	Sep. 30, 2024	Sep. 30, 2023
Segments reporting
Total revenues	$ 327,147	$ 228,473	$ 767,099	$ 595,789
Depreciation and amortization	(44,088)	(42,686)	(134,833)	(122,217)
Other income (loss), net	90,489	(82)	91,870	4,914
Equity in earnings (losses) from unconsolidated ventures	(1,630)	15,732	(4,230)	26,461
Gain (loss) on sale or disposal of real estate and other assets, net	3,165	16,286	7,959	21,000
Gain (loss) on extinguishment of debt	0	0	(198)	0
Income (loss) from continuing operations before income taxes	107,759	43,665	142,833	41,742
Net income (loss) from continuing operations	97,341	32,212	124,995	30,724
Net income (loss) from discontinued operations, net of taxes	(24,031)	(576,199)	(81,807)	(616,479)
Net (income) loss attributable to noncontrolling interests	273	(46)	297	(166)
Net income (loss) attributable to HHH	73,583	(544,033)	43,485	(585,921)
Operating segments
Segments reporting
Total revenues	327,131	228,458	767,049	595,744
Total operating expenses	(149,930)	(118,819)	(352,486)	(314,174)
Segment operating income (loss)	177,201	109,639	414,563	281,570
Depreciation and amortization	(43,321)	(41,712)	(132,487)	(119,618)
Interest income (expense), net	(15,883)	(10,894)	(42,958)	(28,498)
Other income (loss), net	90,035	(105)	90,971	2,133
Equity in earnings (losses) from unconsolidated ventures	(1,630)	15,732	(4,230)	26,461
Gain (loss) on sale or disposal of real estate and other assets, net	3,165	16,286	7,959	21,000
Gain (loss) on extinguishment of debt			(198)
Income (loss) from continuing operations before income taxes	209,567	88,946	333,620	183,048
Corporate
Segments reporting
Corporate income, expenses, and other items	(112,226)	(56,734)	(208,625)	(152,324)
Operating Assets Segment
Segments reporting
Total revenues	114,019	106,178	331,779	310,942
Operating Assets Segment | Operating segments
Segments reporting
Total revenues	114,019	106,178	331,779	310,942
Total operating expenses	(48,987)	(47,960)	(142,751)	(134,486)
Segment operating income (loss)	65,032	58,218	189,028	176,456
Depreciation and amortization	(42,252)	(40,647)	(125,903)	(116,454)
Interest income (expense), net	(36,661)	(31,337)	(103,768)	(89,419)
Other income (loss), net	(54)	(186)	896	2,078
Equity in earnings (losses) from unconsolidated ventures	(2,109)	1,363	4,044	5,311
Gain (loss) on sale or disposal of real estate and other assets, net	3,165	16,050	7,959	20,764
Gain (loss) on extinguishment of debt			(198)
Income (loss) from continuing operations before income taxes	(12,879)	3,461	(27,942)	(1,264)
MPC Segment
Segments reporting
Total revenues	212,607	95,799	433,663	236,123
MPC Segment | Operating segments
Segments reporting
Total revenues	212,607	95,799	433,663	236,123
Total operating expenses	(84,532)	(41,239)	(180,464)	(103,668)
Segment operating income (loss)	128,075	54,560	253,199	132,455
Depreciation and amortization	(109)	(103)	(327)	(316)
Interest income (expense), net	16,425	16,031	47,839	49,004
Other income (loss), net	0	0	0	(103)
Equity in earnings (losses) from unconsolidated ventures	361	14,310	(8,467)	21,056
Gain (loss) on sale or disposal of real estate and other assets, net	0	0	0	0
Gain (loss) on extinguishment of debt			0
Income (loss) from continuing operations before income taxes	144,752	84,798	292,244	202,096
Strategic Developments Segment
Segments reporting
Total revenues	505	26,481	1,607	48,679
Strategic Developments Segment | Operating segments
Segments reporting
Total revenues	505	26,481	1,607	48,679
Total operating expenses	(16,411)	(29,620)	(29,271)	(76,020)
Segment operating income (loss)	(15,906)	(3,139)	(27,664)	(27,341)
Depreciation and amortization	(960)	(962)	(6,257)	(2,848)
Interest income (expense), net	4,353	4,412	12,971	11,917
Other income (loss), net	90,089	81	90,075	158
Equity in earnings (losses) from unconsolidated ventures	118	59	193	94
Gain (loss) on sale or disposal of real estate and other assets, net	0	236	0	236
Gain (loss) on extinguishment of debt			0
Income (loss) from continuing operations before income taxes	$ 77,694	$ 687	$ 69,318	$ (17,784)