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Income Taxes - Component of Income Taxes Expenses (Detail) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Currently payable (refundable):      
U.S. federal and state $ 7.4vhi_CurrentFederalAndStateTaxExpenseBenefit $ 9.1vhi_CurrentFederalAndStateTaxExpenseBenefit $ 0.9vhi_CurrentFederalAndStateTaxExpenseBenefit
Non-U.S. 15.2us-gaap_CurrentForeignTaxExpenseBenefit (1.2)us-gaap_CurrentForeignTaxExpenseBenefit 42.6us-gaap_CurrentForeignTaxExpenseBenefit
Total 22.6us-gaap_CurrentIncomeTaxExpenseBenefit 7.9us-gaap_CurrentIncomeTaxExpenseBenefit 43.5us-gaap_CurrentIncomeTaxExpenseBenefit
Deferred income taxes (benefit):      
U.S. federal and state 3.8vhi_DeferredFederalAndStateIncomeTaxExpenseBenefit (57.9)vhi_DeferredFederalAndStateIncomeTaxExpenseBenefit 34.5vhi_DeferredFederalAndStateIncomeTaxExpenseBenefit
Non-U.S. 6.1us-gaap_DeferredForeignIncomeTaxExpenseBenefit (41.0)us-gaap_DeferredForeignIncomeTaxExpenseBenefit 26.8us-gaap_DeferredForeignIncomeTaxExpenseBenefit
Total 9.9us-gaap_DeferredIncomeTaxesAndTaxCredits (98.9)us-gaap_DeferredIncomeTaxesAndTaxCredits 61.3us-gaap_DeferredIncomeTaxesAndTaxCredits
Provision for income taxes (benefit) $ 32.5us-gaap_IncomeTaxExpenseBenefit $ (91.0)us-gaap_IncomeTaxExpenseBenefit $ 104.8us-gaap_IncomeTaxExpenseBenefit