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Acquisition - Schedule of Expenses in Connection with Acquisition (Details) (Rocketdyne Business [Member], USD $)
In Millions, unless otherwise specified
Nov. 30, 2014
Nov. 30, 2013
Nov. 30, 2012
Business Acquisition [Line Items]      
Expenses incurred in acquisition $ 31.6us-gaap_BusinessAcquisitionCostOfAcquiredEntityTransactionCosts $ 20.0us-gaap_BusinessAcquisitionCostOfAcquiredEntityTransactionCosts $ 11.6us-gaap_BusinessAcquisitionCostOfAcquiredEntityTransactionCosts
Legal Expenses [Member]
     
Business Acquisition [Line Items]      
Expenses incurred in acquisition 16.4us-gaap_BusinessAcquisitionCostOfAcquiredEntityTransactionCosts
/ us-gaap_BusinessAcquisitionAxis
= gy_RocketdyneBusinessMember
/ us-gaap_IncomeStatementLocationAxis
= gy_LegalExpensesMember
   
Professional Fees And Consulting [Member]
     
Business Acquisition [Line Items]      
Expenses incurred in acquisition 8.9us-gaap_BusinessAcquisitionCostOfAcquiredEntityTransactionCosts
/ us-gaap_BusinessAcquisitionAxis
= gy_RocketdyneBusinessMember
/ us-gaap_IncomeStatementLocationAxis
= gy_ProfessionalFeesAndConsultingMember
   
Internal Labor [Member]
     
Business Acquisition [Line Items]      
Expenses incurred in acquisition 3.4us-gaap_BusinessAcquisitionCostOfAcquiredEntityTransactionCosts
/ us-gaap_BusinessAcquisitionAxis
= gy_RocketdyneBusinessMember
/ us-gaap_IncomeStatementLocationAxis
= gy_InternalLaborMember
   
Other Expenses [Member]
     
Business Acquisition [Line Items]      
Expenses incurred in acquisition 1.2us-gaap_BusinessAcquisitionCostOfAcquiredEntityTransactionCosts
/ us-gaap_BusinessAcquisitionAxis
= gy_RocketdyneBusinessMember
/ us-gaap_IncomeStatementLocationAxis
= gy_OtherExpensesMember
   
Liquid Divert And Attitude Control Systems [Member]
     
Business Acquisition [Line Items]      
Expenses incurred in acquisition 1.7us-gaap_BusinessAcquisitionCostOfAcquiredEntityTransactionCosts
/ us-gaap_BusinessAcquisitionAxis
= gy_RocketdyneBusinessMember
/ us-gaap_SignificantAcquisitionsAndDisposalsByTransactionAxis
= gy_LiquidDivertAndAttitudeControlSystemsMember
   
Liquid Divert And Attitude Control Systems [Member] | Internal Labor [Member]
     
Business Acquisition [Line Items]      
Expenses incurred in acquisition $ 0.3us-gaap_BusinessAcquisitionCostOfAcquiredEntityTransactionCosts
/ us-gaap_BusinessAcquisitionAxis
= gy_RocketdyneBusinessMember
/ us-gaap_IncomeStatementLocationAxis
= gy_InternalLaborMember
/ us-gaap_SignificantAcquisitionsAndDisposalsByTransactionAxis
= gy_LiquidDivertAndAttitudeControlSystemsMember