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Derivative Financial Instruments and Concentrations of Credit Risk - Fair Value and Notional Amounts of Credit Default Swaps (Detail) - USD ($)
3 Months Ended 12 Months Ended
Mar. 31, 2020
Dec. 31, 2019
Credit Default Swaps [Member]    
Derivatives, Fair Value [Line Items]    
Credit spread basis points, Minimum 281.00%  
Credit spread basis points, Maximum 44.00%  
Man-AHL Diversified Trading Company L.P. [Member] | Swap Agreements - Short [Member]    
Derivatives, Fair Value [Line Items]    
Credit default swaps, Fair Value $ (19,033,915) $ (24,388,907)
Man-AHL Diversified Trading Company L.P. [Member] | Credit Default Swaps [Member] | Credit Spread in Basis Points 0-100 [Member]    
Derivatives, Fair Value [Line Items]    
Credit spread basis points, Minimum 0.00%  
Credit spread basis points, Maximum 100.00%  
Man-AHL Diversified Trading Company L.P. [Member] | Credit Default Swaps [Member] | Credit Spread in Basis Points 101-250 [Member]    
Derivatives, Fair Value [Line Items]    
Credit spread basis points, Minimum 101.00%  
Credit spread basis points, Maximum 250.00%  
Man-AHL Diversified Trading Company L.P. [Member] | Credit Default Swaps [Member] | Credit Spread in Basis Points 251-350 [Member]    
Derivatives, Fair Value [Line Items]    
Credit spread basis points, Minimum 251.00%  
Credit spread basis points, Maximum 350.00%  
Man-AHL Diversified Trading Company L.P. [Member] | Credit Default Swaps [Member] | Credit Spread in Basis Points 351-450 [Member]    
Derivatives, Fair Value [Line Items]    
Credit spread basis points, Minimum 351.00%  
Credit spread basis points, Maximum 450.00%  
Man-AHL Diversified Trading Company L.P. [Member] | Credit Default Swaps [Member] | Credit Spread in Basis Points 450+ [Member]    
Derivatives, Fair Value [Line Items]    
Credit spread basis points, Minimum 450.00%  
Man-AHL Diversified Trading Company L.P. [Member] | Credit Default Swaps [Member] | Swap Agreements - Short [Member]    
Derivatives, Fair Value [Line Items]    
Credit default swaps, Fair Value $ (19,593) 2,500,929
Credit default swaps, Notional Amount 5,000,000  
Credit default swaps, Notional Amount   210,000,000
Man-AHL Diversified Trading Company L.P. [Member] | Credit Default Swaps [Member] | Swap Agreements - Short [Member] | Credit Spread in Basis Points 0-100 [Member]    
Derivatives, Fair Value [Line Items]    
Credit default swaps, Fair Value (19,593) 641,489
Credit default swaps, Notional Amount 5,000,000  
Credit default swaps, Notional Amount   175,000,000
Man-AHL Diversified Trading Company L.P. [Member] | Credit Default Swaps [Member] | Swap Agreements - Short [Member] | Credit Spread in Basis Points 101-250 [Member]    
Derivatives, Fair Value [Line Items]    
Credit default swaps, Fair Value 0 237,204
Credit default swaps, Notional Amount 0  
Credit default swaps, Notional Amount   20,000,000
Man-AHL Diversified Trading Company L.P. [Member] | Credit Default Swaps [Member] | Swap Agreements - Short [Member] | Credit Spread in Basis Points 251-350 [Member]    
Derivatives, Fair Value [Line Items]    
Credit default swaps, Fair Value 0 1,622,236
Credit default swaps, Notional Amount 0  
Credit default swaps, Notional Amount   15,000,000
Man-AHL Diversified Trading Company L.P. [Member] | Credit Default Swaps [Member] | Swap Agreements - Short [Member] | Credit Spread in Basis Points 351-450 [Member]    
Derivatives, Fair Value [Line Items]    
Credit default swaps, Fair Value 0 0
Credit default swaps, Notional Amount 0  
Credit default swaps, Notional Amount   0
Man-AHL Diversified Trading Company L.P. [Member] | Credit Default Swaps [Member] | Swap Agreements - Short [Member] | Credit Spread in Basis Points 450+ [Member]    
Derivatives, Fair Value [Line Items]    
Credit default swaps, Fair Value 0 0
Credit default swaps, Notional Amount $ 0  
Credit default swaps, Notional Amount   $ 0
Man-AHL Diversified Trading Company L.P. [Member] | Credit Default Swaps [Member] | 1-5 Years [Member] | Minimum [Member]    
Derivatives, Fair Value [Line Items]    
Derivative remaining maturity 1 year 1 year
Man-AHL Diversified Trading Company L.P. [Member] | Credit Default Swaps [Member] | 1-5 Years [Member] | Maximum [Member]    
Derivatives, Fair Value [Line Items]    
Derivative remaining maturity 5 years 5 years