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Related Party Transactions - Star Holdings (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended 12 Months Ended 30 Months Ended
Mar. 28, 2025
Mar. 31, 2023
Sep. 30, 2025
Sep. 30, 2024
Sep. 30, 2025
Sep. 30, 2024
Mar. 31, 2025
Mar. 31, 2024
Sep. 30, 2025
Apr. 30, 2023
Selling stockholder sales agreement | Maximum                    
Related Party Transaction [Line Items]                    
Aggregate number of shares                   1,000,000
Star Holdings | Affiliated entity                    
Related Party Transaction [Line Items]                    
Management fees recorded     $ 2.7 $ 3.7 $ 9.0 $ 13.6     $ 45.2  
Star Holdings | Safehold Inc.                    
Related Party Transaction [Line Items]                    
Ownership percentage     18.80%   18.80%       18.80%  
Star Holdings | SpinCo Manager | Affiliated entity                    
Related Party Transaction [Line Items]                    
Management fees             $ 15.0 $ 25.0    
Annual management fee - Year 3 $ 10.0                  
Annual management fee - Year 4 $ 7.5 $ 5.0                
Annual management fee percent of gross book value, year five and thereafter 2.00%                  
Management agreement initial term   1 year                
Management agreement renewal term   1 year                
Notice required to terminate management agreement without cause   180 days                
Percentage approval of independent directors to terminate management agreement without cause   66.70%                
Notice required to terminate management agreement with cause   30 days                
Termination fee, termination without cause $ 55.0 $ 50.0                
Termination fee due to liquidation of consolidated assets after third anniversary of agreement   0.0                
Termination fee due to reduction in consolidated assets - Year 3   $ 5.0