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Share-based Compensation - Additional Information (Details)
3 Months Ended 9 Months Ended 12 Months Ended
Jan. 01, 2008
shares
Sep. 30, 2022
USD ($)
unit / shares
fungibleUnit
unit
shares
Sep. 30, 2021
USD ($)
Sep. 30, 2022
USD ($)
unit / shares
fungibleUnit
unit
shares
Sep. 30, 2021
USD ($)
Dec. 31, 2021
USD ($)
shares
Dec. 31, 2020
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   $ 500,000 $ 500,000 $ 1,400,000 $ 1,600,000    
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 1 month 6 days      
Remaining average contractual life of the options exercisable (in years)       2 years 1 month 6 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       $ 7,083,717   $ 8,497,054  
Total unrecognized compensation cost related to unvested stock awards   $ 13,600,000   $ 13,600,000      
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       $ 9,700,000   11,300,000  
Weighted average period for recognition of compensation cost related to unvested stock awards (in years)       1 year 10 months 24 days      
Weighted average fair value of options granted during the period       $ 14,807,004   $ 9,214,531  
Awards granted (in shares) | shares       259,015   141,515  
Awards outstanding (in shares) | shares   3,702,794   3,702,794   3,459,363 3,337,545
LTIP units              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Weighted average fair value of options granted during the period       $ 40,600,000   $ 55,000,000  
Performance Shares              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Compensation expense   $ 10,100,000 9,100,000 30,500,000 27,300,000    
Total unrecognized compensation cost related to unvested stock awards   $ 57,500,000   $ 57,500,000      
Weighted average period for recognition of compensation cost related to unvested stock awards (in years)       1 year 7 months 6 days      
All other awards              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Expected term       10 years      
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   6,300,000   6,300,000      
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      
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      
Deferred Stock Compensation Plan for Directors              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Compensation expense   $ 200,000 $ 100,000 $ 2,400,000 $ 2,200,000    
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       23,268      
Shares issued (in shares) | shares       9,416      
Awards outstanding (in shares) | shares   188,470   188,470      
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   187,891   187,891