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Consolidated Statements of Changes in Equity (Parenthetical) (USD $)
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Common stock, par value (usd per share) $ 0.01us-gaap_CommonStockParOrStatedValuePerShare $ 0.01us-gaap_CommonStockParOrStatedValuePerShare  
Contingent convertible preferred stock, par value (usd per share) $ 0.01ghl_ContingentConvertiblePreferredStockParOrStatedValuePerShare $ 0.01ghl_ContingentConvertiblePreferredStockParOrStatedValuePerShare  
Treasury stock, par value (usd per share) $ 0.01ghl_TreasuryStockParOrStatedValuePerShare $ 0.01ghl_TreasuryStockParOrStatedValuePerShare  
Common Stock      
Common stock, par value (usd per share) $ 0.01us-gaap_CommonStockParOrStatedValuePerShare
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_CommonStockMember
$ 0.01us-gaap_CommonStockParOrStatedValuePerShare
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_CommonStockMember
$ 0.01us-gaap_CommonStockParOrStatedValuePerShare
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_CommonStockMember
Treasury Stock      
Treasury stock, par value (usd per share) $ 0.01ghl_TreasuryStockParOrStatedValuePerShare
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_TreasuryStockMember
$ 0.01ghl_TreasuryStockParOrStatedValuePerShare
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_TreasuryStockMember
$ 0.01ghl_TreasuryStockParOrStatedValuePerShare
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_TreasuryStockMember
Contingent Convertible Preferred Stock      
Contingent convertible preferred stock, par value (usd per share) $ 0.01ghl_ContingentConvertiblePreferredStockParOrStatedValuePerShare
/ us-gaap_StatementClassOfStockAxis
= us-gaap_ContingentConvertiblePreferredStockMember
$ 0.01ghl_ContingentConvertiblePreferredStockParOrStatedValuePerShare
/ us-gaap_StatementClassOfStockAxis
= us-gaap_ContingentConvertiblePreferredStockMember
$ 0.01ghl_ContingentConvertiblePreferredStockParOrStatedValuePerShare
/ us-gaap_StatementClassOfStockAxis
= us-gaap_ContingentConvertiblePreferredStockMember