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Income Taxes (Details) (USD $)
In Millions, unless otherwise specified
3 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Sep. 30, 2014
Income Tax Disclosures [Line Items]      
Deferred Tax Assets, Valuation Allowance $ 31.0us-gaap_DeferredTaxAssetsValuationAllowance   $ 31.1us-gaap_DeferredTaxAssetsValuationAllowance
Income tax expense (benefit) 78.2us-gaap_IncomeTaxExpenseBenefit 66.5us-gaap_IncomeTaxExpenseBenefit  
Effective Income Tax Rate Reconciliation, Percent 35.40%us-gaap_EffectiveIncomeTaxRateContinuingOperations 35.10%us-gaap_EffectiveIncomeTaxRateContinuingOperations  
Deferred tax assets net of DTL $ 583.7dhi_DeferredTaxAssetsNetOfDeferredTaxLiabilities   $ 596.1dhi_DeferredTaxAssetsNetOfDeferredTaxLiabilities