Amount of liability recognized arising from contingent consideration in a business combination.

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Investments and Fair Value Measurements (Quantitative Information about Level 3 Fair Value Measurements) (Details) $ in Thousands	12 Months Ended
	Dec. 31, 2019 USD ($) $ / shares	Sep. 30, 2020 USD ($)	Mar. 31, 2020 $ / shares
Fair Value Measurement Inputs and Valuation Techniques [Line Items]
Fair value of contingent liability	$ 3,147	$ 1,064
Significant Unobservable Inputs (Level 3)
Fair Value Measurement Inputs and Valuation Techniques [Line Items]
Fair value of contingent liability	3,147	1,064
Estimated fair value of the Douglas Elliman reporting unit		$ 169,000
Discounted cash flow \| Significant Unobservable Inputs (Level 3)
Fair Value Measurement Inputs and Valuation Techniques [Line Items]
Fair value of derivatives embedded within convertible debt	$ 4,999
Discounted cash flow \| Significant Unobservable Inputs (Level 3) \| Assumed annual stock dividend
Fair Value Measurement Inputs and Valuation Techniques [Line Items]
Fair value of derivatives embedded within convertible debt, measurement input	0.05
Discounted cash flow \| Significant Unobservable Inputs (Level 3) \| Assumed remaining cash dividends - Q4 2019 and Q1 2020
Fair Value Measurement Inputs and Valuation Techniques [Line Items]
Fair value of derivatives embedded within convertible debt, measurement input \| $ / shares	0.40		0.20
Discounted cash flow \| Significant Unobservable Inputs (Level 3) \| Stock price
Fair Value Measurement Inputs and Valuation Techniques [Line Items]
Fair value of derivatives embedded within convertible debt, measurement input \| $ / shares	13.39
Discounted cash flow \| Significant Unobservable Inputs (Level 3) \| Convertible trading price (as a percentage of par value)
Fair Value Measurement Inputs and Valuation Techniques [Line Items]
Fair value of derivatives embedded within convertible debt, measurement input	1.0394
Discounted cash flow \| Significant Unobservable Inputs (Level 3) \| Volatility
Fair Value Measurement Inputs and Valuation Techniques [Line Items]
Fair value of derivatives embedded within convertible debt, measurement input	0.3694
Estimated fair value of the Douglas Elliman reporting unit	$ 271,500
Discounted cash flow \| Significant Unobservable Inputs (Level 3) \| Implied credit spread
Fair Value Measurement Inputs and Valuation Techniques [Line Items]
Fair value of derivatives embedded within convertible debt, measurement input	0.00020
Discounted cash flow \| Significant Unobservable Inputs (Level 3) \| Implied credit spread \| Minimum
Fair Value Measurement Inputs and Valuation Techniques [Line Items]
Fair value of derivatives embedded within convertible debt, measurement input		0.00010
Discounted cash flow \| Significant Unobservable Inputs (Level 3) \| Implied credit spread \| Maximum
Fair Value Measurement Inputs and Valuation Techniques [Line Items]
Fair value of derivatives embedded within convertible debt, measurement input	0.00030
Monte Carlo Simulation Model \| Significant Unobservable Inputs (Level 3) \| Risk-free rate for a 3-year term
Fair Value Measurement Inputs and Valuation Techniques [Line Items]
Fair value of contingent liability, measurement input term	3 years
Fair value of contingent liability, measurement input	0.0161	0.0014
Monte Carlo Simulation Model \| Significant Unobservable Inputs (Level 3) \| Leverage-adjusted equity volatility of peer firms
Fair Value Measurement Inputs and Valuation Techniques [Line Items]
Fair value of contingent liability, measurement input	0.3556	0.7078