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Shareholders' Equity (Summary Of Share-Based Awards) (Details) (Share-Based Awards, USD $)
In Millions, except Share data, unless otherwise specified
3 Months Ended
Apr. 04, 2015
Share-Based Awards
 
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Outstanding (in shares) 1,410,889us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber
/ us-gaap_AwardTypeAxis
= rbc_ShareBasedIncentiveAwardsMember
Exercisable (in shares) 804,486us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableNumber
/ us-gaap_AwardTypeAxis
= rbc_ShareBasedIncentiveAwardsMember
Outstanding, weighted average exercise price (in dollars per share) $ 60.39us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= rbc_ShareBasedIncentiveAwardsMember
Exercisable, weighted average exercise price (in dollars per share) $ 54.51us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= rbc_ShareBasedIncentiveAwardsMember
Outstanding, weighted average remaining contractual term (in years) 5 years 9 months 18 days
Exercisable, weighted average remaining contractual term (in years) 4 years 4 months 24 days
Outstanding, aggregate intrinsic value $ 25.7us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestOutstandingAggregateIntrinsicValue
/ us-gaap_AwardTypeAxis
= rbc_ShareBasedIncentiveAwardsMember
Exercisable, aggregate intrinsic value $ 19.4us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestExercisableAggregateIntrinsicValue
/ us-gaap_AwardTypeAxis
= rbc_ShareBasedIncentiveAwardsMember