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Share-based Compensation - Additional Information (Details)
3 Months Ended 12 Months Ended
Jan. 01, 2008
shares
Mar. 31, 2023
USD ($)
unit / shares
fungibleUnit
unit
shares
Mar. 31, 2022
USD ($)
Dec. 31, 2022
USD ($)
shares
Dec. 31, 2021
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    
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 4 months 24 days      
Remaining average contractual life of the options exercisable (in years)   2 years 4 months 24 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%      
Restricted Stock Awards          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Compensation expense   $ 2,064,453   $ 10,133,905  
Total unrecognized compensation cost related to unvested stock awards   $ 10,800,000      
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   $ 9,900,000   9,700,000  
Weighted average period for recognition of compensation cost related to unvested stock awards (in years)   1 year 9 months 18 days      
Weighted average fair value of options granted during the period   $ 483,860   $ 16,804,931  
Awards granted (in shares) | shares   13,000   314,995  
Awards outstanding (in shares) | shares   3,770,224   3,758,174 3,459,363
LTIP units          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Weighted average fair value of options granted during the period   $ 39,700,000   $ 45,000,000  
Performance Shares          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Compensation expense   10,000,000 10,200,000    
Total unrecognized compensation cost related to unvested stock awards   $ 71,700,000      
Weighted average period for recognition of compensation cost related to unvested stock awards (in years)   1 year 9 months 18 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      
Fungible units per share (in fungible units per share) | unit / shares   2.59      
Shares that may be issued if equal to fungible units (shares) (less than) | shares   32,210,000      
Fungible units | fungibleUnit   6,100,000      
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    
Total unrecognized compensation cost related to unvested stock awards   $ 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      
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      
Deferred Stock Compensation Plan for Directors          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Compensation expense   $ 2,100,000 $ 1,800,000    
Maximum percentage of the annual retainer fee, chairman fees and meeting fees that may be deferred by non-employee directors (percent)   100.00%      
Awards granted (in shares) | shares   30,771      
Shares issued (in shares) | shares   27,739      
Awards outstanding (in shares) | shares   221,764      
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   200,454