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Stock-Based Compensation (Details Textual) (USD $)
In Millions, except Share data, unless otherwise specified
12 Months Ended
Jan. 31, 2015
Jan. 31, 2014
Jan. 31, 2013
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]      
Number of common stock shares 11,000,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized    
Expected term 5 years 5 years 5 years 2 months 12 days
Risk-free interest rate 1.64%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate 0.72%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate 0.92%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate
Expected volatility 51.13%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate 62.12%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate 61.45%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate
Dividend yield 0.68%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate 1.28%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate 2.01%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate
Weighted-average grant date fair value of options granted $ 17.99us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue $ 14.40us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue $ 12.03us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
Compensation expense $ 1.2us-gaap_AllocatedShareBasedCompensationExpense $ 0.8us-gaap_AllocatedShareBasedCompensationExpense $ 0.4us-gaap_AllocatedShareBasedCompensationExpense
Compensation expense, net of tax 0.7us-gaap_AllocatedShareBasedCompensationExpenseNetOfTax 0.5us-gaap_AllocatedShareBasedCompensationExpenseNetOfTax 0.3us-gaap_AllocatedShareBasedCompensationExpenseNetOfTax
Unrecognized compensation cost related to unvested stock options 2.5us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedStockOptions    
Weighted-average period 1 year 8 months 12 days    
Cash received for stock option exercises 1.7us-gaap_EmployeeServiceShareBasedCompensationCashReceivedFromExerciseOfStockOptions 0.9us-gaap_EmployeeServiceShareBasedCompensationCashReceivedFromExerciseOfStockOptions 1.6us-gaap_EmployeeServiceShareBasedCompensationCashReceivedFromExerciseOfStockOptions
Realized tax benefit 0.4us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitRealizedFromExerciseOfStockOptions    
Intrinsic value of stock options exercised 1.6us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue 1.1us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue 6.3us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue
Fair value of the stock options vested 0us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedInPeriodFairValue1 0.1us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedInPeriodFairValue1 0.1us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedInPeriodFairValue1
Intrinsic value of outstanding stock options 0.2us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingIntrinsicValue 6.9us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingIntrinsicValue 6.7us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingIntrinsicValue
Intrinsic value of exercisable stock options 0.2us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsExercisableIntrinsicValue1 3.4us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsExercisableIntrinsicValue1 4.0us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsExercisableIntrinsicValue1
Stock Award Units      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]      
Compensation expense 2.4us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_AwardTypeAxis
= mov_StockAwardUnitsMember
1.6us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_AwardTypeAxis
= mov_StockAwardUnitsMember
1.4us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_AwardTypeAxis
= mov_StockAwardUnitsMember
Compensation expense, net of tax 1.5us-gaap_AllocatedShareBasedCompensationExpenseNetOfTax
/ us-gaap_AwardTypeAxis
= mov_StockAwardUnitsMember
0.9us-gaap_AllocatedShareBasedCompensationExpenseNetOfTax
/ us-gaap_AwardTypeAxis
= mov_StockAwardUnitsMember
0.8us-gaap_AllocatedShareBasedCompensationExpenseNetOfTax
/ us-gaap_AwardTypeAxis
= mov_StockAwardUnitsMember
Weighted-average period 1 year 9 months 18 days    
Unrecognized compensation cost 6.5us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognizedShareBasedAwardsOtherThanOptions
/ us-gaap_AwardTypeAxis
= mov_StockAwardUnitsMember
   
Intrinsic value of stock award units vested 4.9mov_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodAggregateIntrinsicValue
/ us-gaap_AwardTypeAxis
= mov_StockAwardUnitsMember
4.7mov_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodAggregateIntrinsicValue
/ us-gaap_AwardTypeAxis
= mov_StockAwardUnitsMember
0.8mov_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodAggregateIntrinsicValue
/ us-gaap_AwardTypeAxis
= mov_StockAwardUnitsMember
Realized tax benefits on the vested stock awards 0.9mov_EmployeeServiceShareBasedCompensationWindfallTaxBenefitRealizedOnVestedRestrictedStockGrants
/ us-gaap_AwardTypeAxis
= mov_StockAwardUnitsMember
   
Units granted, Weighted Average Grant Date Fair Value $ 41.32us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= mov_StockAwardUnitsMember
$ 31.33us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= mov_StockAwardUnitsMember
$ 26.59us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= mov_StockAwardUnitsMember
Intrinsic value outstanding stock award units $ 8.1us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardEquityInstrumentsOtherThanOptionsAggregateIntrinsicValueVested
/ us-gaap_AwardTypeAxis
= mov_StockAwardUnitsMember
$ 11.4us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardEquityInstrumentsOtherThanOptionsAggregateIntrinsicValueVested
/ us-gaap_AwardTypeAxis
= mov_StockAwardUnitsMember
$ 12.6us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardEquityInstrumentsOtherThanOptionsAggregateIntrinsicValueVested
/ us-gaap_AwardTypeAxis
= mov_StockAwardUnitsMember
Minimum      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]      
Options granted to participants exercisable period 3 years    
Minimum | Stock Award Units      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]      
Stock awards vesting period 3 years    
Maximum      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]      
Options granted to participants exercisable period 5 years    
Maximum | Stock Award Units      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]      
Stock awards vesting period 5 years