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Income Taxes (Details ) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Income before income taxes:      
United States $ 161.4us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesDomestic $ 152.8us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesDomestic $ 145.8us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesDomestic
Foreign 811.1us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesForeign 693.8us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesForeign 633.0us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesForeign
Income before income taxes 972.5us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments 846.6us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments 778.8us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments
Current tax provision:      
United States 63.7us-gaap_CurrentFederalTaxExpenseBenefit 47.5us-gaap_CurrentFederalTaxExpenseBenefit 54.6us-gaap_CurrentFederalTaxExpenseBenefit
Foreign 183.1us-gaap_CurrentForeignTaxExpenseBenefit 162.3us-gaap_CurrentForeignTaxExpenseBenefit 163.1us-gaap_CurrentForeignTaxExpenseBenefit
Provision for income taxes, current 246.8us-gaap_CurrentIncomeTaxExpenseBenefit 209.8us-gaap_CurrentIncomeTaxExpenseBenefit 217.7us-gaap_CurrentIncomeTaxExpenseBenefit
Deferred tax provision (benefit):      
United States (0.7)us-gaap_DeferredFederalIncomeTaxExpenseBenefit (0.1)us-gaap_DeferredFederalIncomeTaxExpenseBenefit 7.7us-gaap_DeferredFederalIncomeTaxExpenseBenefit
Foreign 11.2us-gaap_DeferredForeignIncomeTaxExpenseBenefit (1.8)us-gaap_DeferredForeignIncomeTaxExpenseBenefit (6.1)us-gaap_DeferredForeignIncomeTaxExpenseBenefit
Provision for income taxes, deferred 10.5us-gaap_DeferredIncomeTaxExpenseBenefit (1.9)us-gaap_DeferredIncomeTaxExpenseBenefit 1.6us-gaap_DeferredIncomeTaxExpenseBenefit
Provision for income taxes 257.3us-gaap_IncomeTaxExpenseBenefit 207.9us-gaap_IncomeTaxExpenseBenefit 219.3us-gaap_IncomeTaxExpenseBenefit
Foreign tax loss and credit carryforwards 60.3us-gaap_DeferredTaxAssetsTaxCreditCarryforwardsForeign    
U.S. federal loss carryforwards 16.9aph_TaxCreditCarryForwardsFederal    
U.S. state tax loss and credit carryforwards net of federal benefit 4.4aph_TaxCreditCarryforwardsState    
Foreign tax losses and credit carry forwards that will either expire or be refunded at various dates through 2029 28.8aph_TaxLossAndTaxCreditCarryforwardForeignExpiredOrRefunded    
Federal tax credit carry forwards that will either expire or be refunded at various dates through 2029 16.9aph_TaxCreditCarryForwardsFederalExpiredOrRefunded    
State tax credit carry forwards, net of federal benefits will either expire or be refunded at various dates through 2029 0.1aph_TaxCreditCarryforwardsStateExpiredOrRefunded    
Valuation allowance, related to the foreign net operating loss carryforwards and U.S. state tax credits 15.5us-gaap_DeferredTaxAssetsValuationAllowance 19.4us-gaap_DeferredTaxAssetsValuationAllowance  
Change in the valuation allowance, related to foreign net operating loss and foreign and U.S. state credit carryforwards $ (3.9)us-gaap_ValuationAllowanceDeferredTaxAssetChangeInAmount $ 1.5us-gaap_ValuationAllowanceDeferredTaxAssetChangeInAmount