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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
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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

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- 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. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 1 -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=6415400&loc=d3e5047-113901 Reference 2: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SAB TOPIC 14.F) -URI http://asc.fasb.org/extlink&oid=27013229&loc=d3e301413-122809 Reference 3: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (h)(1)(i) -URI http://asc.fasb.org/extlink&oid=6415400&loc=d3e5070-113901 Reference 4: http://www.xbrl.org/2003/role/presentationRef -Publisher SEC -Name Staff Accounting Bulletin (SAB) -Number Topic 14 -Section F + Details
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- Definition Amount of deferred income tax expense (benefit) and income tax credits. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 230 -SubTopic 10 -Section 45 -Paragraph 28 -URI http://asc.fasb.org/extlink&oid=31042434&loc=d3e3602-108585 Reference 2: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 20 -Section 55 -Paragraph 24 -URI http://asc.fasb.org/extlink&oid=32706628&loc=d3e11374-113907 + Details
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- Definition Disclosure of the aggregate tax benefit realized from the exercise of stock options and the conversion of similar instruments during the annual period. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (j) -URI http://asc.fasb.org/extlink&oid=6415400&loc=d3e5070-113901 + Details
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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. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 20 -Section 55 -Paragraph 24 -URI http://asc.fasb.org/extlink&oid=32706628&loc=d3e11374-113907 + Details
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- Definition The noncash expense that represents the cost of restricted stock or unit distributed to employees as compensation. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 230 -SubTopic 10 -Section 45 -Paragraph 28 -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=31042434&loc=d3e3602-108585 + Details
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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). + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(2)(iii)(1) -URI http://asc.fasb.org/extlink&oid=6415400&loc=d3e5070-113901 + Details
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- Definition 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. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (d)(2) -URI http://asc.fasb.org/extlink&oid=6415400&loc=d3e5070-113901 + Details
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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. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (d)(2) -URI http://asc.fasb.org/extlink&oid=6415400&loc=d3e5070-113901 + Details
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- Definition The weighted average grant-date fair value of options granted during the reporting period as calculated by applying the disclosed option pricing methodology. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (d)(1) -URI http://asc.fasb.org/extlink&oid=6415400&loc=d3e5070-113901 + Details
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- Definition The noncash expense that accounts for the value of stock or unit options distributed to employees as compensation. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 230 -SubTopic 10 -Section 45 -Paragraph 28 -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=31042434&loc=d3e3602-108585 + Details
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- Definition 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. + References No definition available. + Details
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