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Shareholders' Equity Shareholders' Equity (Schedule Of Share-Based Incentive Plan Grant Activity) (Details) (Options and SAR's [Member], USD $)
In Millions, except Share data, unless otherwise specified
12 Months Ended
Jan. 03, 2015
Dec. 28, 2013
Options and SAR's [Member]
   
Share-based incentive plan grant activity    
Options Shares Outstanding at December 28, 2013 1,563,270us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber
/ us-gaap_AwardTypeAxis
= rbc_OptionsandSARsMember
 
Option Shares, Granted 148,955us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross
/ us-gaap_AwardTypeAxis
= rbc_OptionsandSARsMember
 
Options Shares, Exercised (163,742)us-gaap_StockIssuedDuringPeriodSharesStockOptionsExercised
/ us-gaap_AwardTypeAxis
= rbc_OptionsandSARsMember
 
Option Shares, Forfeited (59,651)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresInPeriod
/ us-gaap_AwardTypeAxis
= rbc_OptionsandSARsMember
 
Options Shares Outstanding at January 3, 2015 1,488,832us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber
/ us-gaap_AwardTypeAxis
= rbc_OptionsandSARsMember
1,563,270us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber
/ us-gaap_AwardTypeAxis
= rbc_OptionsandSARsMember
Options Shares, Exercisable at January 3, 2015 878,489us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableNumber
/ us-gaap_AwardTypeAxis
= rbc_OptionsandSARsMember
 
Options Weighted Average Exercise Price at December 28, 2013 $ 56.04us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= rbc_OptionsandSARsMember
 
Options Weighted Average Exercise Price, Granted $ 75.76us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= rbc_OptionsandSARsMember
 
Options Weighted Average Exercise Price, Exercised $ 43.01us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsExercisesInPeriodWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= rbc_OptionsandSARsMember
 
Optionss Weighted Average Exercise Price, Forfeited $ 60.21us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsForfeituresInPeriodWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= rbc_OptionsandSARsMember
 
Options Weighted Average Exercise Price at January 3, 2015 $ 59.34us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= rbc_OptionsandSARsMember
$ 56.04us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= rbc_OptionsandSARsMember
Options Weighted Average Exercise Price at January 3, 2015 $ 53.20us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= rbc_OptionsandSARsMember
 
Options Outstanding Weighted Average Remaining Contractual Terms (years)   5 years 9 months 15 days
Options Exercisable Weighted Average Remaining Contractual Term (years) 4 years 4 months 28 days  
Options Outstanding Aggregate Intrinsic Value $ 23.9us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestOutstandingAggregateIntrinsicValue
/ us-gaap_AwardTypeAxis
= rbc_OptionsandSARsMember
 
Options Exercisable Aggregate Intrinsic Value $ 19.5us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestExercisableAggregateIntrinsicValue
/ us-gaap_AwardTypeAxis
= rbc_OptionsandSARsMember