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Shareholders' Equity and Stock Options (Additional Information) (Details) (USD $)
1 Months Ended 12 Months Ended
Oct. 31, 2011
stock_award
Dec. 31, 2014
offering_periods
stock_purchase_right
Dec. 31, 2013
Dec. 31, 2012
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Lower limit of exercise price range   $ 0.5us-gaap_ShareBasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeLowerRangeLimit    
Vesting period   4 years    
Expiration period   10 years    
Time based restricted stock awards 2rog_TimebasedrestrictedstockawardsNumber      
Stock purchase right   1rog_StockPurchaseRightNumber    
Stock repurchase right exercise price   $ 240.00us-gaap_SharebasedCompensationSharesAuthorizedUnderStockOptionPlansExercisePriceRangeExercisableOptionsWeightedAverageExercisePrice1    
Class of Warrant or Right, Exercise Price of Warrants or Rights   $ 0.01us-gaap_ClassOfWarrantOrRightExercisePriceOfWarrantsOrRights1    
Expected dividend yield       0.00%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate
Total intrinsic value of options exercised in period   $ 9,400,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue $ 13,600,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue  
Cash received from exercise of options exercised   20,500,000us-gaap_EmployeeServiceShareBasedCompensationCashReceivedFromExerciseOfStockOptions 32,400,000us-gaap_EmployeeServiceShareBasedCompensationCashReceivedFromExerciseOfStockOptions  
Total grant-date fair value of stock options vested   300,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodTotalFairValue 400,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodTotalFairValue  
Share-based Compensation expense   7,533,000us-gaap_ShareBasedCompensation 5,393,000us-gaap_ShareBasedCompensation 5,153,000us-gaap_ShareBasedCompensation
Employee stock purchase plan number of offering periods   2rog_ShareBasedCompensationArrangementByShareBasedPaymentAwardEmployeeStockPurchasePlanNumberOfOfferings    
Employee stock purchase plan length of offering periods   6 months    
Employee Stock Purchase Plan [Member]        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Share-based Compensation expense   500,000us-gaap_ShareBasedCompensation
/ us-gaap_PlanNameAxis
= rog_EmployeeStockPurchasePlanMember
500,000us-gaap_ShareBasedCompensation
/ us-gaap_PlanNameAxis
= rog_EmployeeStockPurchasePlanMember
500,000us-gaap_ShareBasedCompensation
/ us-gaap_PlanNameAxis
= rog_EmployeeStockPurchasePlanMember
Discount from market price percentage   15.00%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardDiscountFromMarketPricePurchaseDate
/ us-gaap_PlanNameAxis
= rog_EmployeeStockPurchasePlanMember
   
Stock Option [Member]        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Future compensation cost, period of recognition   1 year 0 months 5 days    
Expected dividend yield   0.00%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate
/ us-gaap_AwardTypeAxis
= us-gaap_StockOptionMember
   
Annual forfeiture rate   3.00%rog_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedForfeitures
/ us-gaap_AwardTypeAxis
= us-gaap_StockOptionMember
   
Employee Service Share-based Compensation, Nonvested Awards, Total Compensation Cost Not yet Recognized   200,000us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized
/ us-gaap_AwardTypeAxis
= us-gaap_StockOptionMember
   
Share-based Compensation expense   300,000us-gaap_ShareBasedCompensation
/ us-gaap_AwardTypeAxis
= us-gaap_StockOptionMember
400,000us-gaap_ShareBasedCompensation
/ us-gaap_AwardTypeAxis
= us-gaap_StockOptionMember
2,000,000us-gaap_ShareBasedCompensation
/ us-gaap_AwardTypeAxis
= us-gaap_StockOptionMember
Performance Shares [Member]        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Future compensation cost, period of recognition   1 year 5 months 5 days    
Expected dividend yield   0.00%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
0.00%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
 
Employee Service Share-based Compensation, Nonvested Awards, Total Compensation Cost Not yet Recognized   3,800,000us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
   
Share-based Compensation expense   2,300,000us-gaap_ShareBasedCompensation
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
1,300,000us-gaap_ShareBasedCompensation
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
500,000us-gaap_ShareBasedCompensation
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
Performance-based restricted stock measurement period   3 years    
Performance Shares [Member] | 2012 Performance Grants [Member]        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Share Based Compensation Arrangement By Share Based Payment Award Equity Instruments Other Than Options Target Award Percentage   118.20%rog_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsTargetAwardPercentage
/ us-gaap_AwardDateAxis
= rog_TwoThousandandTwelvePerformanceGrantsMember
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
108.00%rog_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsTargetAwardPercentage
/ us-gaap_AwardDateAxis
= rog_TwoThousandandTwelvePerformanceGrantsMember
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
10000000.00%rog_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsTargetAwardPercentage
/ us-gaap_AwardDateAxis
= rog_TwoThousandandTwelvePerformanceGrantsMember
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
Performance Shares [Member] | 2013 Performance Grants [Member]        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Share Based Compensation Arrangement By Share Based Payment Award Equity Instruments Other Than Options Target Award Percentage   141.00%rog_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsTargetAwardPercentage
/ us-gaap_AwardDateAxis
= rog_TwoThousandandThirteenPerformanceGrantsMember
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
166.00%rog_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsTargetAwardPercentage
/ us-gaap_AwardDateAxis
= rog_TwoThousandandThirteenPerformanceGrantsMember
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
 
Performance Shares [Member] | 2014 Performance Grants [Member]        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Share Based Compensation Arrangement By Share Based Payment Award Equity Instruments Other Than Options Target Award Percentage   144.00%rog_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsTargetAwardPercentage
/ us-gaap_AwardDateAxis
= rog_TwoThousandandFourteenPerformanceGrantsMember
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
   
Performance Shares [Member] | 2011 Performance Grants [Member]        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Share Based Compensation Arrangement By Share Based Payment Award Equity Instruments Other Than Options Target Award Percentage     108.00%rog_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsTargetAwardPercentage
/ us-gaap_AwardDateAxis
= rog_TwoThousandandElevenPerformanceGrantsMember
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
100.00%rog_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsTargetAwardPercentage
/ us-gaap_AwardDateAxis
= rog_TwoThousandandElevenPerformanceGrantsMember
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
Performance Shares [Member] | 2010 Performance Grants [Member]        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Share Based Compensation Arrangement By Share Based Payment Award Equity Instruments Other Than Options Target Award Percentage       200.00%rog_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsTargetAwardPercentage
/ us-gaap_AwardDateAxis
= rog_TwoThousandandTenPerformanceGrantsMember
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
Performance Shares [Member] | Maximum [Member]        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Performance-based restricted stock actual payout percentage   118.20%rog_ShareBasedCompensationArrangementBySharebasedPaymentAwardPercentageOfActualPaymentOfTargetAmount
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
   
Performance-based restricted stock award percentage target   200.00%rog_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsTargetPercentage
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
   
Performance Shares [Member] | Minimum [Member]        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Performance-based restricted stock award percentage target   0.00%rog_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsTargetPercentage
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
   
Time Based Restricted Stock [Member]        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Vesting period   3 years    
Future compensation cost, period of recognition   1 year 8 months    
Employee Service Share-based Compensation, Nonvested Awards, Total Compensation Cost Not yet Recognized   7,800,000us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized
/ us-gaap_AwardTypeAxis
= rog_TimeBasedRestrictedStockMember
   
Share-based Compensation expense   3,600,000us-gaap_ShareBasedCompensation
/ us-gaap_AwardTypeAxis
= rog_TimeBasedRestrictedStockMember
2,500,000us-gaap_ShareBasedCompensation
/ us-gaap_AwardTypeAxis
= rog_TimeBasedRestrictedStockMember
1,600,000us-gaap_ShareBasedCompensation
/ us-gaap_AwardTypeAxis
= rog_TimeBasedRestrictedStockMember
Deferred Stock Units [Member]        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Share-based Compensation expense   $ 800,000us-gaap_ShareBasedCompensation
/ us-gaap_AwardTypeAxis
= rog_DeferredStockUnitsMember
$ 700,000us-gaap_ShareBasedCompensation
/ us-gaap_AwardTypeAxis
= rog_DeferredStockUnitsMember
$ 700,000us-gaap_ShareBasedCompensation
/ us-gaap_AwardTypeAxis
= rog_DeferredStockUnitsMember