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Share-based Compensation - Additional Information (Details) |  | 3 Months Ended | 9 Months Ended | 12 Months Ended |
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Jan. 01, 2008 shares | Sep. 30, 2024 USD ($) unit / shares fungibleUnit unit shares | Sep. 30, 2023 USD ($) | Sep. 30, 2024 USD ($) unit / shares fungibleUnit unit shares | Sep. 30, 2023 USD ($) | Dec. 31, 2023 USD ($) shares | Dec. 31, 2022 shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |
Capitalized to assets associated with compensation expense related to our long-term compensation plans, restricted stock and stock options |  | $ 400,000 | $ 300,000 | $ 1,300,000 | $ 1,000,000.0 |  |
All Other Awards |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |
Fungible units per share (in fungible units per share) | unit / shares |  | 1.0 |  | 1.0 |  |  |
Expected term |  |  |  | 10 years |  |  |
Stock Options |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |
Period of commencement of option vesting, from date of grant (in years) |  |  |  | 1 year |  |  |
Options granted (in shares) | shares |  |  |  | 0 |  | 0 |
Remaining weighted average contractual life of the options outstanding (in years) |  |  |  | 2 years 2 months 12 days |  |  |
Remaining average contractual life of the options exercisable (in years) |  |  |  | 2 years 2 months 12 days |  |  |
Stock Options | Minimum |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |
Award expiration period (in years) |  |  |  | 5 years |  |  |
Options vesting period (in years) |  |  |  | 1 year |  |  |
Stock Options | Maximum |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |
Award expiration period (in years) |  |  |  | 10 years |  |  |
Options vesting period (in years) |  |  |  | 5 years |  |  |
Class O LTIP Units |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |
Preferred unit distributions as a percentage of common unit distributions |  | 10.00% |  | 10.00% |  |  |
Restricted Stock Awards |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |
Compensation expense |  |  |  | $ 7,935,369 |  | $ 7,766,055 |
Total unrecognized compensation cost related to unvested stock awards |  | $ 12,200,000 |  | $ 12,200,000 |  |  |
Annual award vesting rate, low end of range (as a percent) |  |  |  | 15.00% |  |  |
Annual award vesting rate, high end of range (as a percent) |  |  |  | 35.00% |  |  |
Fair value of restricted stock vested during the period |  |  |  | $ 7,100,000 |  | 10,200,000 |
Weighted average period for recognition of compensation cost related to unvested stock awards (in years) |  |  |  | 2 years |  |  |
Weighted average fair value of options granted during the period |  |  |  | $ 394,851 |  | $ 15,789,540 |
Awards granted (in shares) | shares |  |  |  | 7,734 |  | 337,350 |
Awards outstanding (in shares) | shares |  | 4,086,858 |  | 4,086,858 |  | 4,089,174 | 3,758,174
LTIP units |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |
Weighted average fair value of options granted during the period |  |  |  | $ 23,600,000 |  | $ 38,100,000 |
Performance Shares |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |
Compensation expense |  | $ 6,700,000 | 10,600,000 | 19,700,000 | 31,200,000 |  |
Total unrecognized compensation cost related to unvested stock awards |  | $ 28,500,000 |  | $ 28,500,000 |  |  |
Weighted average period for recognition of compensation cost related to unvested stock awards (in years) |  |  |  | 1 year 7 months 6 days |  |  |
Third Amendment and Restated 2005 Stock Option and Incentive Plan |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |
Maximum fungible units that may be granted (in shares) | unit |  | 32,210,000 |  | 32,210,000 |  |  |
Fungible units per share (in fungible units per share) | unit / shares |  | 2.59 |  | 2.59 |  |  |
Shares that may be issued if equal to fungible units (shares) (less than) | shares |  | 32,210,000 |  | 32,210,000 |  |  |
Fungible units | fungibleUnit |  | 3,500,000 |  | 3,500,000 |  |  |
Third Amendment and Restated 2005 Stock Option and Incentive Plan | Stock Options |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |
Compensation expense |  | $ 0 | 0 | $ 0 | 0 |  |
Total unrecognized compensation cost related to unvested stock awards |  | $ 0 |  | $ 0 |  |  |
Stock Options, Stock Appreciation Rights and Other Awards |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |
Fungible units per share (in fungible units per share) | unit / shares |  | 0.84 |  | 0.84 |  |  |
Award expiration period (in years) |  |  |  | 5 years |  |  |
Deferred Stock Compensation Plan for Directors |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |
Compensation expense |  | $ 200,000 | $ 200,000 | $ 2,600,000 | $ 2,500,000 |  |
Maximum percentage of the annual retainer fee, chairman fees and meeting fees that may be deferred by non-employee directors (percent) |  | 100.00% |  | 100.00% |  |  |
Awards granted (in shares) | shares |  |  |  | 15,945 |  |  |
Shares issued (in shares) | shares |  |  |  | 25,590 |  |  |
Awards outstanding (in shares) | shares |  | 125,654 |  | 125,654 |  |  |
Employee Stock Purchase Plan |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |
Shares of common stock available for issuance (shares) | shares | 500,000 |  |  |  |  |  |
Duration of each offering period starting the first day of each calendar quarter (in months) | 3 months |  |  |  |  |  |
Discount from market price | 85.00% |  |  |  |  |  |
Shares of common stock issued (shares) | shares |  | 241,790 |  | 241,790 |  |  |

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