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Earnings Per Share - Earnings Allocable to Common Shares (Details) - USD ($)
$ / shares in Units, shares in Thousands, $ in Thousands
 3 Months Ended 9 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2024
Sep. 30, 2023
Numerator for basic and diluted earnings per share:        
Net income attributable to Safehold Inc. common shareholders - basic $ 19,331 $ (122,969) $ 79,724 $ (96,157)
Net income (loss) attributable to Safehold Inc. common shareholders - diluted $ 19,331 $ (122,969) $ 79,724 $ (96,157)
Denominator for basic and diluted earnings per share:        
Weighted average common shares outstanding for basic earnings (in shares) 71,436 67,979 71,347 65,214
Add: Effect of assumed shares under treasury stock method for restricted stock units 104   67  
Weighted average common shares outstanding for diluted earnings per common share (in shares) 71,540 67,979 71,414 65,214
Basic and diluted earnings per common share:        
Net income (loss) attributable to Safehold Inc. common shareholders - basic $ 0.27 $ (1.81) $ 1.12 $ (1.47)
Net income (loss) attributable to Safehold Inc. common shareholders - diluted $ 0.27 $ (1.81) $ 1.12 $ (1.47)
Restricted stock units that are anti-dilutive   51 10 22