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EQUITY-BASED COMPENSATION (Details 2) (USD $)
In Thousands, except Share data, unless otherwise specified
3 Months Ended 12 Months Ended
Mar. 31, 2015
Dec. 31, 2014
Weighted Average Grant Date Fair Value    
Shares deemed to be repurchased for payment of tax liabilities 6,043us-gaap_SharesPaidForTaxWithholdingForShareBasedCompensation  
Average price per share of shares deemed repurchased for payment of tax liabilities (in dollars per share) $ 32.17mc_TreasuryStockAcquiredForTaxSettlementOfShareBasedCompensationAverageCostPerShare  
Class A common stock | Share repurchase program authorized first quarter 2015    
Weighted Average Grant Date Fair Value    
Treasury stock shares acquired (in shares) 129,863us-gaap_TreasuryStockSharesAcquired
/ us-gaap_ShareRepurchaseProgramAxis
= mc_ShareRepurchaseProgramAuthorizedFirstQuarter2015Member
/ us-gaap_StatementClassOfStockAxis
= us-gaap_CommonClassAMember
 
Average cost per share of treasury stock acquired (in dollars per share) $ 31.82us-gaap_TreasuryStockAcquiredAverageCostPerShare
/ us-gaap_ShareRepurchaseProgramAxis
= mc_ShareRepurchaseProgramAuthorizedFirstQuarter2015Member
/ us-gaap_StatementClassOfStockAxis
= us-gaap_CommonClassAMember
 
Restricted stock and RSUs    
Equity-based compensation    
Award issued (in shares) 2,206,490us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= mc_RestrictedStockAndRestrictedStockUnitsMember
 
Number of shares    
Unvested Balance at the beginning of the period (in shares) 2,473,624us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber
/ us-gaap_AwardTypeAxis
= mc_RestrictedStockAndRestrictedStockUnitsMember
 
Granted (in shares) 2,206,490us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= mc_RestrictedStockAndRestrictedStockUnitsMember
 
Forfeited (in shares) (8,610)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeitedInPeriod
/ us-gaap_AwardTypeAxis
= mc_RestrictedStockAndRestrictedStockUnitsMember
 
Vested (in shares) (22,841)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod
/ us-gaap_AwardTypeAxis
= mc_RestrictedStockAndRestrictedStockUnitsMember
 
Unvested Balance at the end of the period (in shares) 4,648,663us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber
/ us-gaap_AwardTypeAxis
= mc_RestrictedStockAndRestrictedStockUnitsMember
 
Weighted Average Grant Date Fair Value    
Unvested Balance at the beginning of the period (in dollars per share) $ 25.86us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= mc_RestrictedStockAndRestrictedStockUnitsMember
 
Granted (in dollars per share) $ 32.28us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= mc_RestrictedStockAndRestrictedStockUnitsMember
 
Forfeited (in dollars per share) $ 29.92us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeituresWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= mc_RestrictedStockAndRestrictedStockUnitsMember
 
Vested (in dollars per share) $ 29.73us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= mc_RestrictedStockAndRestrictedStockUnitsMember
 
Unvested Balance at the end of the period (in dollars per share) $ 28.86us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= mc_RestrictedStockAndRestrictedStockUnitsMember
 
Total compensation expense not yet recognized $ 99,462us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized
/ us-gaap_AwardTypeAxis
= mc_RestrictedStockAndRestrictedStockUnitsMember
 
Forfeiture rate (as a percent) 3.00%mc_FairValueInputsForfeitureRate
/ us-gaap_AwardTypeAxis
= mc_RestrictedStockAndRestrictedStockUnitsMember
 
Weighted average period to recognize compensation expense 3 years 1 month 6 days  
Stock options    
Equity-based compensation    
Award issued (in shares)   3,501,881us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
Vesting period 5 years  
Compensation expenses 1,059us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
 
Number of shares    
Granted (in shares)   3,501,881us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
Weighted Average Grant Date Fair Value    
Total compensation expense not yet recognized 14,647us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
 
Forfeiture rate (as a percent) 3.00%mc_FairValueInputsForfeitureRate
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
 
Weighted average period to recognize compensation expense 3 years 7 months 6 days  
Assumptions used to estimates fair value    
Expected life (in years)   6 years
Weighted-average risk free interest rate (as a percent)   1.91%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
Expected volatility (as a percent)   35.00%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
Dividend yield (as a percent)   2.72%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
Weighted - average fair value at grant date   $ 6.70us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
Number Outstanding    
Outstanding at the beginning of the period (in shares 3,296,906us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
 
Forfeiture or expirations (in shares) (40,300)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresAndExpirationsInPeriod
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
 
Outstanding at the end of the period (in shares 3,256,606us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
3,296,906us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
Weighted-Average Exercise Price Per Share    
Outstanding at the beginning of the period (in dollars per share) $ 24.00us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
 
Forfeiture or expirations (in dollars per share) $ 24.00us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresAndExpirationsInPeriodWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
 
Outstanding at the end of the period (in dollars per share) $ 24.00us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
$ 24.00us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
Hiring process | RSUs    
Equity-based compensation    
Award issued (in shares) 2,206,490us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ mc_AwardEventAxis
= mc_HiringMember
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
 
Compensation expenses $ 6,424us-gaap_AllocatedShareBasedCompensationExpense
/ mc_AwardEventAxis
= mc_HiringMember
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
 
Number of shares    
Granted (in shares) 2,206,490us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ mc_AwardEventAxis
= mc_HiringMember
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
 
Hiring process | RSUs | Minimum    
Equity-based compensation    
Vesting period 4 years  
Hiring process | RSUs | Maximum    
Equity-based compensation    
Vesting period 5 years