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Earnings Per Share - Additional Information (Detail) (USD $)
3 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]    
Common stock outstanding 6,000,000us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements  
Number of weighted average outstanding diluted shares 1,238,000,000us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 1,101,000,000us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding
Number of common stock shares issued in a part of acquisition 90,000,000us-gaap_BusinessAcquisitionEquityInterestsIssuedOrIssuableNumberOfSharesIssued  
Convertible Debt Securities [Member]    
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]    
Number of shares, option exercised   89,000,000us-gaap_StockIssuedDuringPeriodSharesStockOptionsExercised
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_ConvertibleDebtSecuritiesMember
Common stock outstanding   89,000,000us-gaap_CommonStockSharesOutstanding
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_ConvertibleDebtSecuritiesMember
Number of weighted average outstanding shares included in both basic and diluted shares   23,000,000us-gaap_WeightedAverageNumberOfShareOutstandingBasicAndDiluted
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_ConvertibleDebtSecuritiesMember
Common stock outstanding   89,000,000us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_ConvertibleDebtSecuritiesMember
Number of weighted average outstanding diluted shares   66,000,000us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_ConvertibleDebtSecuritiesMember
Mandatory Convertible Notes [Member]    
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]    
Number of anti-dilutive securities 77,000,000us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount
/ us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis
= aa_MandatoryConvertibleNotesMember
 
Convertible Notes [Member]    
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]    
Number of anti-dilutive securities   66,000,000us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount
/ us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis
= aa_ConvertibleNotesMember
Shares that would have been included in diluted earnings per share calculation   66,000,000aa_SharesThatWouldHaveBeenIncludedInDilutedEarningsPerShareCalculation
/ us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis
= aa_ConvertibleNotesMember
Stock Awards [Member]    
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]    
Number of anti-dilutive securities   18,000,000us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount
/ us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis
= aa_StockAwardsMember
Shares that would have been included in diluted earnings per share calculation   10,000,000aa_SharesThatWouldHaveBeenIncludedInDilutedEarningsPerShareCalculation
/ us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis
= aa_StockAwardsMember
Stock Option [Member]    
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]    
Number of anti-dilutive securities   31,000,000us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount
/ us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis
= us-gaap_StockOptionMember
Shares that would have been included in diluted earnings per share calculation   5,000,000aa_SharesThatWouldHaveBeenIncludedInDilutedEarningsPerShareCalculation
/ us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis
= us-gaap_StockOptionMember
Weighted average exercise price of options 14.79aa_WeightedAverageExercisePriceOfUnderwaterOptions
/ us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis
= us-gaap_StockOptionMember
14.53aa_WeightedAverageExercisePriceOfUnderwaterOptions
/ us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis
= us-gaap_StockOptionMember
Equity Unit Purchase Agreements [Member]    
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]    
Number of anti-dilutive securities 13,000,000us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount
/ us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis
= us-gaap_EquityUnitPurchaseAgreementsMember
10,000,000us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount
/ us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis
= us-gaap_EquityUnitPurchaseAgreementsMember