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Balance Sheet Accounts and Supplemental Disclosures - Schedule of Changes in the Carrying Amount of Goodwill (Details) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Nov. 30, 2014
Nov. 30, 2013
Jun. 14, 2013
Nov. 30, 2012
Business Acquisition [Line Items]        
Beginning balance   $ 159.6us-gaap_Goodwill    
Ending balance 164.4us-gaap_Goodwill 159.6us-gaap_Goodwill    
Rocketdyne Business [Member]        
Business Acquisition [Line Items]        
Beginning balance     69.5us-gaap_Goodwill
/ us-gaap_BusinessAcquisitionAxis
= gy_RocketdyneBusinessMember
 
Ending balance     69.5us-gaap_Goodwill
/ us-gaap_BusinessAcquisitionAxis
= gy_RocketdyneBusinessMember
 
Aerospace and Defense [Member]        
Business Acquisition [Line Items]        
Beginning balance   159.6us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= gy_AerospaceandDefenseMember
  94.9us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= gy_AerospaceandDefenseMember
Ending balance 164.4us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= gy_AerospaceandDefenseMember
159.6us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= gy_AerospaceandDefenseMember
  94.9us-gaap_Goodwill
/ us-gaap_StatementBusinessSegmentsAxis
= gy_AerospaceandDefenseMember
Aerospace and Defense [Member] | Rocketdyne Business [Member]        
Business Acquisition [Line Items]        
Purchase of the Rocketdyne Business (see Note 4) 64.7us-gaap_GoodwillAcquiredDuringPeriod
/ us-gaap_BusinessAcquisitionAxis
= gy_RocketdyneBusinessMember
/ us-gaap_StatementBusinessSegmentsAxis
= gy_AerospaceandDefenseMember
     
Purchase accounting adjustments related to Rocketdyne Business acquisition (see Note 4) $ 4.8us-gaap_GoodwillPurchaseAccountingAdjustments
/ us-gaap_BusinessAcquisitionAxis
= gy_RocketdyneBusinessMember
/ us-gaap_StatementBusinessSegmentsAxis
= gy_AerospaceandDefenseMember