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Share-Based Compensation (Details) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Share-based compensation expense $ 46.8us-gaap_ShareBasedCompensation $ 50.9us-gaap_ShareBasedCompensation $ 45.4us-gaap_ShareBasedCompensation
Tax benefit 17.3us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromCompensationExpense 18.8us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromCompensationExpense 16.7us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromCompensationExpense
Share-based compensation expense, net of tax benefit 29.5btu_ShareBasedCompensationExpenseNetOfTax 32.1btu_ShareBasedCompensationExpenseNetOfTax 28.7btu_ShareBasedCompensationExpenseNetOfTax
Cash received upon the exercise of stock options and from employee stock purchases 5.5us-gaap_EmployeeServiceShareBasedCompensationCashReceivedFromExerciseOfStockOptions 7.3us-gaap_EmployeeServiceShareBasedCompensationCashReceivedFromExerciseOfStockOptions 9.4us-gaap_EmployeeServiceShareBasedCompensationCashReceivedFromExerciseOfStockOptions
(Write-off) excess tax benefits related to share-based compensation (8.3)us-gaap_AdjustmentsToAdditionalPaidInCapitalTaxEffectFromShareBasedCompensation (4.5)us-gaap_AdjustmentsToAdditionalPaidInCapitalTaxEffectFromShareBasedCompensation 8.3us-gaap_AdjustmentsToAdditionalPaidInCapitalTaxEffectFromShareBasedCompensation
Equity Award      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Share-based compensation expense 46.1us-gaap_ShareBasedCompensation
/ us-gaap_AwardTypeAxis
= us-gaap_EquityMember
50.9us-gaap_ShareBasedCompensation
/ us-gaap_AwardTypeAxis
= us-gaap_EquityMember
45.4us-gaap_ShareBasedCompensation
/ us-gaap_AwardTypeAxis
= us-gaap_EquityMember
Other Liabilities [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Share-based compensation expense $ 0.7us-gaap_ShareBasedCompensation
/ us-gaap_AwardTypeAxis
= us-gaap_OtherLiabilitiesMember
$ 0us-gaap_ShareBasedCompensation
/ us-gaap_AwardTypeAxis
= us-gaap_OtherLiabilitiesMember
$ 0us-gaap_ShareBasedCompensation
/ us-gaap_AwardTypeAxis
= us-gaap_OtherLiabilitiesMember