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Long-Term Employee Benefit Liabilities - Schedule of Company's Defined Benefit Pension Plans (Parenthetical) (Detail) (Pension Plan, Defined Benefit [Member])
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2015
Defined Benefit Plan Disclosure [Line Items]      
Equity securities 58.00%us-gaap_DefinedBenefitPlanWeightedAverageAssetAllocations 58.00%us-gaap_DefinedBenefitPlanWeightedAverageAssetAllocations  
Fixed income securities 41.00%mga_DefinedBenefitPlanTargetAllocationPercentageOfAssetsDebtFixedIncomeSecurities 41.00%mga_DefinedBenefitPlanTargetAllocationPercentageOfAssetsDebtFixedIncomeSecurities  
Cash and cash equivalents 1.00%mga_DefinedBenefitPlanCashAndCashEquivalents 1.00%mga_DefinedBenefitPlanCashAndCashEquivalents  
Total 100.00%mga_DefinedBenefitPlansTargetAllocationPercentage 100.00%mga_DefinedBenefitPlansTargetAllocationPercentage  
Subsequent Event [Member]      
Defined Benefit Plan Disclosure [Line Items]      
Total     100.00%mga_DefinedBenefitPlansTargetAllocationPercentage
/ us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis
= us-gaap_PensionPlansDefinedBenefitMember
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember
Minimum [Member] | Subsequent Event [Member]      
Defined Benefit Plan Disclosure [Line Items]      
Equity securities     55.00%us-gaap_DefinedBenefitPlanWeightedAverageAssetAllocations
/ us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis
= us-gaap_PensionPlansDefinedBenefitMember
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember
Fixed income securities     25.00%mga_DefinedBenefitPlanTargetAllocationPercentageOfAssetsDebtFixedIncomeSecurities
/ us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis
= us-gaap_PensionPlansDefinedBenefitMember
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember
Cash and cash equivalents     0.00%mga_DefinedBenefitPlanCashAndCashEquivalents
/ us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis
= us-gaap_PensionPlansDefinedBenefitMember
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember
Maximum [Member] | Subsequent Event [Member]      
Defined Benefit Plan Disclosure [Line Items]      
Equity securities     75.00%us-gaap_DefinedBenefitPlanWeightedAverageAssetAllocations
/ us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis
= us-gaap_PensionPlansDefinedBenefitMember
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember
Fixed income securities     45.00%mga_DefinedBenefitPlanTargetAllocationPercentageOfAssetsDebtFixedIncomeSecurities
/ us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis
= us-gaap_PensionPlansDefinedBenefitMember
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember
Cash and cash equivalents     15.00%mga_DefinedBenefitPlanCashAndCashEquivalents
/ us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis
= us-gaap_PensionPlansDefinedBenefitMember
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
/ us-gaap_SubsequentEventTypeAxis
= us-gaap_SubsequentEventMember