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Consolidated Statements of Changes in Equity (USD $) In Millions, except Share data	Total	Common Shares [Member]	Contributed Surplus [Member]	Retained Earnings [Member]	AOCI [Member]		Non-controlling Interests [Member]
Beginning Balance at Dec. 31, 2011	$ 8,202us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest	$ 4,373us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonStockMember	$ 63us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest / us-gaap_StatementEquityComponentsAxis = us-gaap_AdditionalPaidInCapitalMember	$ 3,317us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest / us-gaap_StatementEquityComponentsAxis = us-gaap_RetainedEarningsMember	$ 422us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest / us-gaap_StatementEquityComponentsAxis = us-gaap_AccumulatedOtherComprehensiveIncomeMember	[1]	$ 27us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest / us-gaap_StatementEquityComponentsAxis = us-gaap_NoncontrollingInterestMember
Beginning Balance, shares at Dec. 31, 2011		233,300,000us-gaap_CommonStockSharesOutstanding / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonStockMember
Net income	1,426us-gaap_ProfitLoss			1,433us-gaap_ProfitLoss / us-gaap_StatementEquityComponentsAxis = us-gaap_RetainedEarningsMember			(7)us-gaap_ProfitLoss / us-gaap_StatementEquityComponentsAxis = us-gaap_NoncontrollingInterestMember
Other comprehensive income (loss)	80us-gaap_OtherComprehensiveIncomeLossNetOfTax				78us-gaap_OtherComprehensiveIncomeLossNetOfTax / us-gaap_StatementEquityComponentsAxis = us-gaap_AccumulatedOtherComprehensiveIncomeMember	[1]	2us-gaap_OtherComprehensiveIncomeLossNetOfTax / us-gaap_StatementEquityComponentsAxis = us-gaap_NoncontrollingInterestMember
Acquisition of subsidiaries	7us-gaap_NoncontrollingInterestIncreaseFromBusinessCombination						7us-gaap_NoncontrollingInterestIncreaseFromBusinessCombination / us-gaap_StatementEquityComponentsAxis = us-gaap_NoncontrollingInterestMember
Shares issued on exercise of stock options	14us-gaap_StockIssuedDuringPeriodValueStockOptionsExercised	19us-gaap_StockIssuedDuringPeriodValueStockOptionsExercised / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonStockMember	(5)us-gaap_StockIssuedDuringPeriodValueStockOptionsExercised / us-gaap_StatementEquityComponentsAxis = us-gaap_AdditionalPaidInCapitalMember
Shares issued on exercise of stock options, shares	1,525,159us-gaap_StockIssuedDuringPeriodSharesStockOptionsExercised	400,000us-gaap_StockIssuedDuringPeriodSharesStockOptionsExercised / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonStockMember
Release of restricted stock		5us-gaap_StockIssuedDuringPeriodValueRestrictedStockAwardNetOfForfeitures / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonStockMember	(5)us-gaap_StockIssuedDuringPeriodValueRestrictedStockAwardNetOfForfeitures / us-gaap_StatementEquityComponentsAxis = us-gaap_AdditionalPaidInCapitalMember
Release of restricted stock units		5mga_StockIssuedDuringPeriodValueRestrictedStockUnitNetOfForfeitures / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonStockMember	(5)mga_StockIssuedDuringPeriodValueRestrictedStockUnitNetOfForfeitures / us-gaap_StatementEquityComponentsAxis = us-gaap_AdditionalPaidInCapitalMember
Repurchase and cancellation under normal course issuer bid	(42)us-gaap_StockRepurchasedAndRetiredDuringPeriodValue	(18)us-gaap_StockRepurchasedAndRetiredDuringPeriodValue / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonStockMember		(20)us-gaap_StockRepurchasedAndRetiredDuringPeriodValue / us-gaap_StatementEquityComponentsAxis = us-gaap_RetainedEarningsMember	(4)us-gaap_StockRepurchasedAndRetiredDuringPeriodValue / us-gaap_StatementEquityComponentsAxis = us-gaap_AccumulatedOtherComprehensiveIncomeMember	[1]
Repurchase and cancellation under normal course issuer bid, shares		(800,000)us-gaap_StockRepurchasedAndRetiredDuringPeriodShares / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonStockMember
Stock-based compensation expense	39us-gaap_AdjustmentsToAdditionalPaidInCapitalSharebasedCompensationRequisiteServicePeriodRecognitionValue		39us-gaap_AdjustmentsToAdditionalPaidInCapitalSharebasedCompensationRequisiteServicePeriodRecognitionValue / us-gaap_StatementEquityComponentsAxis = us-gaap_AdditionalPaidInCapitalMember
Settlement of stock options	(16)us-gaap_AdjustmentsToAdditionalPaidInCapitalShareBasedCompensationStockOptionsRequisiteServicePeriodRecognition		(7)us-gaap_AdjustmentsToAdditionalPaidInCapitalShareBasedCompensationStockOptionsRequisiteServicePeriodRecognition / us-gaap_StatementEquityComponentsAxis = us-gaap_AdditionalPaidInCapitalMember	(9)us-gaap_AdjustmentsToAdditionalPaidInCapitalShareBasedCompensationStockOptionsRequisiteServicePeriodRecognition / us-gaap_StatementEquityComponentsAxis = us-gaap_RetainedEarningsMember
Dividends paid	(252)us-gaap_DividendsCommonStockCash	7us-gaap_DividendsCommonStockCash / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonStockMember		(259)us-gaap_DividendsCommonStockCash / us-gaap_StatementEquityComponentsAxis = us-gaap_RetainedEarningsMember
Dividends paid, shares		200,000us-gaap_CommonStockDividendsShares / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonStockMember
Ending Balance at Dec. 31, 2012	9,458us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest	4,391us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonStockMember	80us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest / us-gaap_StatementEquityComponentsAxis = us-gaap_AdditionalPaidInCapitalMember	4,462us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest / us-gaap_StatementEquityComponentsAxis = us-gaap_RetainedEarningsMember	496us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest / us-gaap_StatementEquityComponentsAxis = us-gaap_AccumulatedOtherComprehensiveIncomeMember	[1]	29us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest / us-gaap_StatementEquityComponentsAxis = us-gaap_NoncontrollingInterestMember
Ending Balance, shares at Dec. 31, 2012		233,100,000us-gaap_CommonStockSharesOutstanding / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonStockMember
Net income	1,545us-gaap_ProfitLoss			1,561us-gaap_ProfitLoss / us-gaap_StatementEquityComponentsAxis = us-gaap_RetainedEarningsMember			(16)us-gaap_ProfitLoss / us-gaap_StatementEquityComponentsAxis = us-gaap_NoncontrollingInterestMember
Other comprehensive income (loss)	(142)us-gaap_OtherComprehensiveIncomeLossNetOfTax				(141)us-gaap_OtherComprehensiveIncomeLossNetOfTax / us-gaap_StatementEquityComponentsAxis = us-gaap_AccumulatedOtherComprehensiveIncomeMember	[1]	(1)us-gaap_OtherComprehensiveIncomeLossNetOfTax / us-gaap_StatementEquityComponentsAxis = us-gaap_NoncontrollingInterestMember
Issues of shares by subsidiaries	4mga_SharesIssuedBySubsidiariesValue						4mga_SharesIssuedBySubsidiariesValue / us-gaap_StatementEquityComponentsAxis = us-gaap_NoncontrollingInterestMember
Shares issued on exercise of stock options	63us-gaap_StockIssuedDuringPeriodValueStockOptionsExercised	84us-gaap_StockIssuedDuringPeriodValueStockOptionsExercised / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonStockMember	(21)us-gaap_StockIssuedDuringPeriodValueStockOptionsExercised / us-gaap_StatementEquityComponentsAxis = us-gaap_AdditionalPaidInCapitalMember
Shares issued on exercise of stock options, shares	2,805,969us-gaap_StockIssuedDuringPeriodSharesStockOptionsExercised	2,000,000us-gaap_StockIssuedDuringPeriodSharesStockOptionsExercised / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonStockMember
Release of restricted stock		6us-gaap_StockIssuedDuringPeriodValueRestrictedStockAwardNetOfForfeitures / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonStockMember	(6)us-gaap_StockIssuedDuringPeriodValueRestrictedStockAwardNetOfForfeitures / us-gaap_StatementEquityComponentsAxis = us-gaap_AdditionalPaidInCapitalMember
Release of restricted stock units		9mga_StockIssuedDuringPeriodValueRestrictedStockUnitNetOfForfeitures / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonStockMember	(9)mga_StockIssuedDuringPeriodValueRestrictedStockUnitNetOfForfeitures / us-gaap_StatementEquityComponentsAxis = us-gaap_AdditionalPaidInCapitalMember
Repurchase and cancellation under normal course issuer bid	(1,020)us-gaap_StockRepurchasedAndRetiredDuringPeriodValue	(271)us-gaap_StockRepurchasedAndRetiredDuringPeriodValue / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonStockMember		(707)us-gaap_StockRepurchasedAndRetiredDuringPeriodValue / us-gaap_StatementEquityComponentsAxis = us-gaap_RetainedEarningsMember	(42)us-gaap_StockRepurchasedAndRetiredDuringPeriodValue / us-gaap_StatementEquityComponentsAxis = us-gaap_AccumulatedOtherComprehensiveIncomeMember	[1]
Repurchase and cancellation under normal course issuer bid, shares		(14,100,000)us-gaap_StockRepurchasedAndRetiredDuringPeriodShares / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonStockMember
Stock-based compensation expense	34us-gaap_AdjustmentsToAdditionalPaidInCapitalSharebasedCompensationRequisiteServicePeriodRecognitionValue		34us-gaap_AdjustmentsToAdditionalPaidInCapitalSharebasedCompensationRequisiteServicePeriodRecognitionValue / us-gaap_StatementEquityComponentsAxis = us-gaap_AdditionalPaidInCapitalMember
Settlement of stock options	(19)us-gaap_AdjustmentsToAdditionalPaidInCapitalShareBasedCompensationStockOptionsRequisiteServicePeriodRecognition		(9)us-gaap_AdjustmentsToAdditionalPaidInCapitalShareBasedCompensationStockOptionsRequisiteServicePeriodRecognition / us-gaap_StatementEquityComponentsAxis = us-gaap_AdditionalPaidInCapitalMember	(10)us-gaap_AdjustmentsToAdditionalPaidInCapitalShareBasedCompensationStockOptionsRequisiteServicePeriodRecognition / us-gaap_StatementEquityComponentsAxis = us-gaap_RetainedEarningsMember
Dividends paid	(284)us-gaap_DividendsCommonStockCash	11us-gaap_DividendsCommonStockCash / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonStockMember		(295)us-gaap_DividendsCommonStockCash / us-gaap_StatementEquityComponentsAxis = us-gaap_RetainedEarningsMember
Dividends paid, shares		200,000us-gaap_CommonStockDividendsShares / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonStockMember
Ending Balance at Dec. 31, 2013	9,639us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest	4,230us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonStockMember	69us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest / us-gaap_StatementEquityComponentsAxis = us-gaap_AdditionalPaidInCapitalMember	5,011us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest / us-gaap_StatementEquityComponentsAxis = us-gaap_RetainedEarningsMember	313us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest / us-gaap_StatementEquityComponentsAxis = us-gaap_AccumulatedOtherComprehensiveIncomeMember	[1]	16us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest / us-gaap_StatementEquityComponentsAxis = us-gaap_NoncontrollingInterestMember
Ending Balance, shares at Dec. 31, 2013		221,200,000us-gaap_CommonStockSharesOutstanding / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonStockMember
Net income	1,880us-gaap_ProfitLoss			1,882us-gaap_ProfitLoss / us-gaap_StatementEquityComponentsAxis = us-gaap_RetainedEarningsMember			(2)us-gaap_ProfitLoss / us-gaap_StatementEquityComponentsAxis = us-gaap_NoncontrollingInterestMember
Other comprehensive income (loss)	(843)us-gaap_OtherComprehensiveIncomeLossNetOfTax				(843)us-gaap_OtherComprehensiveIncomeLossNetOfTax / us-gaap_StatementEquityComponentsAxis = us-gaap_AccumulatedOtherComprehensiveIncomeMember	[1]
Shares issued on exercise of stock options	51us-gaap_StockIssuedDuringPeriodValueStockOptionsExercised	63us-gaap_StockIssuedDuringPeriodValueStockOptionsExercised / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonStockMember	(12)us-gaap_StockIssuedDuringPeriodValueStockOptionsExercised / us-gaap_StatementEquityComponentsAxis = us-gaap_AdditionalPaidInCapitalMember
Shares issued on exercise of stock options, shares	1,324,580us-gaap_StockIssuedDuringPeriodSharesStockOptionsExercised	1,300,000us-gaap_StockIssuedDuringPeriodSharesStockOptionsExercised / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonStockMember
Release of restricted stock		5us-gaap_StockIssuedDuringPeriodValueRestrictedStockAwardNetOfForfeitures / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonStockMember	(5)us-gaap_StockIssuedDuringPeriodValueRestrictedStockAwardNetOfForfeitures / us-gaap_StatementEquityComponentsAxis = us-gaap_AdditionalPaidInCapitalMember
Release of restricted stock units		14mga_StockIssuedDuringPeriodValueRestrictedStockUnitNetOfForfeitures / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonStockMember	(14)mga_StockIssuedDuringPeriodValueRestrictedStockUnitNetOfForfeitures / us-gaap_StatementEquityComponentsAxis = us-gaap_AdditionalPaidInCapitalMember
Repurchase and cancellation under normal course issuer bid	(1,783)us-gaap_StockRepurchasedAndRetiredDuringPeriodValue	(342)us-gaap_StockRepurchasedAndRetiredDuringPeriodValue / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonStockMember		(1,413)us-gaap_StockRepurchasedAndRetiredDuringPeriodValue / us-gaap_StatementEquityComponentsAxis = us-gaap_RetainedEarningsMember	(28)us-gaap_StockRepurchasedAndRetiredDuringPeriodValue / us-gaap_StatementEquityComponentsAxis = us-gaap_AccumulatedOtherComprehensiveIncomeMember	[1]
Repurchase and cancellation under normal course issuer bid, shares		(17,400,000)us-gaap_StockRepurchasedAndRetiredDuringPeriodShares / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonStockMember
Stock-based compensation expense	38us-gaap_AdjustmentsToAdditionalPaidInCapitalSharebasedCompensationRequisiteServicePeriodRecognitionValue		38us-gaap_AdjustmentsToAdditionalPaidInCapitalSharebasedCompensationRequisiteServicePeriodRecognitionValue / us-gaap_StatementEquityComponentsAxis = us-gaap_AdditionalPaidInCapitalMember
Reclassification of liability	7mga_AdjustmentsToAdditionalPaidInCapitalReclassificationOfLiabilityForShareBasedCompensation		7mga_AdjustmentsToAdditionalPaidInCapitalReclassificationOfLiabilityForShareBasedCompensation / us-gaap_StatementEquityComponentsAxis = us-gaap_AdditionalPaidInCapitalMember
Dividends paid	(316)us-gaap_DividendsCommonStockCash	9us-gaap_DividendsCommonStockCash / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonStockMember		(325)us-gaap_DividendsCommonStockCash / us-gaap_StatementEquityComponentsAxis = us-gaap_RetainedEarningsMember
Dividends paid, shares		100,000us-gaap_CommonStockDividendsShares / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonStockMember
Ending Balance at Dec. 31, 2014	$ 8,673us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest	$ 3,979us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonStockMember	$ 83us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest / us-gaap_StatementEquityComponentsAxis = us-gaap_AdditionalPaidInCapitalMember	$ 5,155us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest / us-gaap_StatementEquityComponentsAxis = us-gaap_RetainedEarningsMember	$ (558)us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest / us-gaap_StatementEquityComponentsAxis = us-gaap_AccumulatedOtherComprehensiveIncomeMember	[1]	$ 14us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest / us-gaap_StatementEquityComponentsAxis = us-gaap_NoncontrollingInterestMember
Ending Balance, shares at Dec. 31, 2014		205,200,000us-gaap_CommonStockSharesOutstanding / us-gaap_StatementEquityComponentsAxis = us-gaap_CommonStockMember
[1] AOCI is Accumulated Other Comprehensive Income.

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This element represents the amount of recognized equity-based compensation during the period, that is, the amount recognized as expense in the income statement (or as asset if compensation is capitalized). Alternate captions include the words "stock-based compensation".

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Number of shares of common stock outstanding. Common stock represent the ownership interest in a corporation.

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