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Investments and Fair Value Measurements (Quantitative Information about Level 3 Fair Value Measurements) (Details) - Recurring
$ in Thousands
12 Months Ended
Dec. 31, 2021
USD ($)
Fair Value Measurement Inputs and Valuation Techniques [Line Items]  
Contingent consideration liability $ 2,646
Significant Unobservable Inputs (Level 3)  
Fair Value Measurement Inputs and Valuation Techniques [Line Items]  
Contingent consideration liability 2,646
Significant Unobservable Inputs (Level 3) | Monte Carlo simulation model | Estimated fair value of the Douglas Elliman reporting unit  
Fair Value Measurement Inputs and Valuation Techniques [Line Items]  
Estimated fair value of the Douglas Elliman reporting unit $ 776,351
Significant Unobservable Inputs (Level 3) | Monte Carlo simulation model | Risk-free rate  
Fair Value Measurement Inputs and Valuation Techniques [Line Items]  
Fair value of contingent liability, measurement input term 9 months
Measurement input 0.0039
Significant Unobservable Inputs (Level 3) | Monte Carlo simulation model | Leverage-adjusted equity volatility of peer firms  
Fair Value Measurement Inputs and Valuation Techniques [Line Items]  
Measurement input 0.2613