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Reconciliation of Provision for Income Taxes (Detail) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Reconciliation of Provision of Income Taxes [Line Items]      
United States statutory income tax provision $ 50.9us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate $ 76.8us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate $ 88.9us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate
Income and losses for which no provision or benefit has been recognized 35.7us-gaap_IncomeTaxReconciliationTaxExemptIncome 13.5us-gaap_IncomeTaxReconciliationTaxExemptIncome 7.0us-gaap_IncomeTaxReconciliationTaxExemptIncome
Foreign rate differential and other foreign tax expense (22.0)us-gaap_IncomeTaxReconciliationForeignIncomeTaxRateDifferential (23.0)us-gaap_IncomeTaxReconciliationForeignIncomeTaxRateDifferential (32.2)us-gaap_IncomeTaxReconciliationForeignIncomeTaxRateDifferential
Income tax withholdings 17.1uis_IncomeTaxReconciliationIncomeTaxWithholdings 15.4uis_IncomeTaxReconciliationIncomeTaxWithholdings 20.3uis_IncomeTaxReconciliationIncomeTaxWithholdings
Permanent items 1.1us-gaap_IncomeTaxReconciliationNondeductibleExpense 4.0us-gaap_IncomeTaxReconciliationNondeductibleExpense 4.0us-gaap_IncomeTaxReconciliationNondeductibleExpense
Enacted rate changes   8.9us-gaap_IncomeTaxReconciliationChangeInEnactedTaxRate 9.0us-gaap_IncomeTaxReconciliationChangeInEnactedTaxRate
Change in uncertain tax positions 0.2us-gaap_IncomeTaxReconciliationTaxContingencies 4.4us-gaap_IncomeTaxReconciliationTaxContingencies 4.5us-gaap_IncomeTaxReconciliationTaxContingencies
Change in valuation allowances due to changes in judgment 7.0us-gaap_IncomeTaxReconciliationChangeInDeferredTaxAssetsValuationAllowance (0.5)us-gaap_IncomeTaxReconciliationChangeInDeferredTaxAssetsValuationAllowance  
Income tax credits, U.S. (3.9)us-gaap_IncomeTaxReconciliationTaxCredits   (4.0)us-gaap_IncomeTaxReconciliationTaxCredits
Other 0.1us-gaap_IncomeTaxReconciliationOtherAdjustments (0.2)us-gaap_IncomeTaxReconciliationOtherAdjustments (0.2)us-gaap_IncomeTaxReconciliationOtherAdjustments
Provision for income taxes $ 86.2us-gaap_IncomeTaxExpenseBenefit $ 99.3us-gaap_IncomeTaxExpenseBenefit $ 97.3us-gaap_IncomeTaxExpenseBenefit