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Share-Based Compensation - Certain Information Regarding Company's Share-Based Compensation (Detail) (USD $) In Thousands, except Per Share data, unless otherwise specified	12 Months Ended
	Dec. 31, 2014	Dec. 31, 2013	Dec. 31, 2012
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Compensation expense, Total	$ 12,342us-gaap_AllocatedShareBasedCompensationExpense	$ 6,417us-gaap_AllocatedShareBasedCompensationExpense	$ 3,830us-gaap_AllocatedShareBasedCompensationExpense
Deferred tax benefits, Total	343us-gaap_DeferredIncomeTaxesAndTaxCredits	792us-gaap_DeferredIncomeTaxesAndTaxCredits	926us-gaap_DeferredIncomeTaxesAndTaxCredits
Realized tax benefits, Total	8,288us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitRealizedFromExerciseOfStockOptions	2,739us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitRealizedFromExerciseOfStockOptions	459us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitRealizedFromExerciseOfStockOptions
Excess tax benefits (shortfall)	7,006us-gaap_ExcessTaxBenefitFromShareBasedCompensationOperatingActivities	359us-gaap_ExcessTaxBenefitFromShareBasedCompensationOperatingActivities	(1,760)us-gaap_ExcessTaxBenefitFromShareBasedCompensationOperatingActivities
Weighted average fair value per option or share, Restricted stock grants	$ 12.88us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
Intrinsic value of options exercised	18,979us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue	6,131us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue	437us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue
Cash received for strike price and tax withholdings	73uve_CashReceivedForStrikePriceAndTaxWithholdings		652uve_CashReceivedForStrikePriceAndTaxWithholdings
Shares acquired through cashless exercise	1,787uve_SharesAcquiredThroughCashlessExercise	1,966uve_SharesAcquiredThroughCashlessExercise	147uve_SharesAcquiredThroughCashlessExercise
Value of shares acquired through cashless exercise	26,947uve_ValueOfSharesAcquired	12,630uve_ValueOfSharesAcquired	583uve_ValueOfSharesAcquired
Stock Option [Member]
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Compensation expense, Stock options	675us-gaap_StockOptionPlanExpense / us-gaap_AwardTypeAxis = us-gaap_EmployeeStockOptionMember	930us-gaap_StockOptionPlanExpense / us-gaap_AwardTypeAxis = us-gaap_EmployeeStockOptionMember	1,188us-gaap_StockOptionPlanExpense / us-gaap_AwardTypeAxis = us-gaap_EmployeeStockOptionMember
Deferred tax benefits, Total	260us-gaap_DeferredIncomeTaxesAndTaxCredits / us-gaap_AwardTypeAxis = us-gaap_EmployeeStockOptionMember	359us-gaap_DeferredIncomeTaxesAndTaxCredits / us-gaap_AwardTypeAxis = us-gaap_EmployeeStockOptionMember	458us-gaap_DeferredIncomeTaxesAndTaxCredits / us-gaap_AwardTypeAxis = us-gaap_EmployeeStockOptionMember
Realized tax benefits, Total	7,321us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitRealizedFromExerciseOfStockOptions / us-gaap_AwardTypeAxis = us-gaap_EmployeeStockOptionMember	2,365us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitRealizedFromExerciseOfStockOptions / us-gaap_AwardTypeAxis = us-gaap_EmployeeStockOptionMember	168us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitRealizedFromExerciseOfStockOptions / us-gaap_AwardTypeAxis = us-gaap_EmployeeStockOptionMember
Excess tax benefits (shortfall)	6,472us-gaap_ExcessTaxBenefitFromShareBasedCompensationOperatingActivities / us-gaap_AwardTypeAxis = us-gaap_EmployeeStockOptionMember	418us-gaap_ExcessTaxBenefitFromShareBasedCompensationOperatingActivities / us-gaap_AwardTypeAxis = us-gaap_EmployeeStockOptionMember	(1,618)us-gaap_ExcessTaxBenefitFromShareBasedCompensationOperatingActivities / us-gaap_AwardTypeAxis = us-gaap_EmployeeStockOptionMember
Weighted average fair value per option or share, Stock option grants	$ 3.39us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue / us-gaap_AwardTypeAxis = us-gaap_EmployeeStockOptionMember	$ 0.79us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue / us-gaap_AwardTypeAxis = us-gaap_EmployeeStockOptionMember	$ 0.87us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue / us-gaap_AwardTypeAxis = us-gaap_EmployeeStockOptionMember
Restricted Stock [Member]
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Compensation expense, Restricted Stock	11,667us-gaap_RestrictedStockExpense / us-gaap_AwardTypeAxis = us-gaap_RestrictedStockMember	5,487us-gaap_RestrictedStockExpense / us-gaap_AwardTypeAxis = us-gaap_RestrictedStockMember	2,642us-gaap_RestrictedStockExpense / us-gaap_AwardTypeAxis = us-gaap_RestrictedStockMember
Deferred tax benefits, Total	83us-gaap_DeferredIncomeTaxesAndTaxCredits / us-gaap_AwardTypeAxis = us-gaap_RestrictedStockMember	433us-gaap_DeferredIncomeTaxesAndTaxCredits / us-gaap_AwardTypeAxis = us-gaap_RestrictedStockMember	468us-gaap_DeferredIncomeTaxesAndTaxCredits / us-gaap_AwardTypeAxis = us-gaap_RestrictedStockMember
Realized tax benefits, Total	967us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitRealizedFromExerciseOfStockOptions / us-gaap_AwardTypeAxis = us-gaap_RestrictedStockMember	374us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitRealizedFromExerciseOfStockOptions / us-gaap_AwardTypeAxis = us-gaap_RestrictedStockMember	291us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitRealizedFromExerciseOfStockOptions / us-gaap_AwardTypeAxis = us-gaap_RestrictedStockMember
Excess tax benefits (shortfall)	534us-gaap_ExcessTaxBenefitFromShareBasedCompensationOperatingActivities / us-gaap_AwardTypeAxis = us-gaap_RestrictedStockMember	(59)us-gaap_ExcessTaxBenefitFromShareBasedCompensationOperatingActivities / us-gaap_AwardTypeAxis = us-gaap_RestrictedStockMember	(142)us-gaap_ExcessTaxBenefitFromShareBasedCompensationOperatingActivities / us-gaap_AwardTypeAxis = us-gaap_RestrictedStockMember
Weighted average fair value per option or share, Restricted stock grants	$ 12.88us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue / us-gaap_AwardTypeAxis = us-gaap_RestrictedStockMember	$ 5.43us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue / us-gaap_AwardTypeAxis = us-gaap_RestrictedStockMember	$ 3.37us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue / us-gaap_AwardTypeAxis = us-gaap_RestrictedStockMember
Fair value of restricted stock vested	$ 28,350us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodTotalFairValue / us-gaap_AwardTypeAxis = us-gaap_RestrictedStockMember	$ 2,548us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodTotalFairValue / us-gaap_AwardTypeAxis = us-gaap_RestrictedStockMember	$ 1,164us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodTotalFairValue / us-gaap_AwardTypeAxis = us-gaap_RestrictedStockMember

X

- Definition

Represents the expense recognized during the period arising from equity-based compensation arrangements (for example, shares of stock, unit, stock options or other equity instruments) with employees, directors and certain consultants qualifying for treatment as employees.

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- Definition

Amount of deferred income tax expense (benefit) and income tax credits.

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-Name Accounting Standards Codification

-Topic 230

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Disclosure of the aggregate tax benefit realized from the exercise of stock options and the conversion of similar instruments during the annual period.

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- Definition

Amount of cash outflow for realized tax benefit related to deductible compensation cost reported on the entity's tax return for equity instruments in excess of the compensation cost for those instruments recognized for financial reporting purposes.

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- Definition

The noncash expense that represents the cost of restricted stock or unit distributed to employees as compensation.

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- Definition

The weighted average fair value at grant date for nonvested equity-based awards issued during the period on other than stock (or unit) option plans (for example, phantom stock or unit plan, stock or unit appreciation rights plan, performance target plan).

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Fair value of share-based awards for which the grantee gained the right by satisfying service and performance requirements, to receive or retain shares or units, other instruments, or cash.

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- Definition

Amount of accumulated difference between fair value of underlying shares on dates of exercise and exercise price on options exercised (or share units converted) into shares.

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The weighted average grant-date fair value of options granted during the reporting period as calculated by applying the disclosed option pricing methodology.

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The noncash expense that accounts for the value of stock or unit options distributed to employees as compensation.

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Cash received for strike price and tax withholdings.

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This amount represents treasury shares acquired through cashless option exercises, where holders of stock options surrender a portion of the exercised options to cover exercise costs and taxes.

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Value of shares acquired.

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