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Industry Segment Information (Schedule Of Financial Information Attributable To Geographic Regions) (Details) (USD $)
In Millions, unless otherwise specified
3 Months Ended 12 Months Ended
Jan. 03, 2015
Sep. 27, 2014
Jun. 28, 2014
Mar. 29, 2014
Dec. 28, 2013
Sep. 28, 2013
Jun. 29, 2013
Mar. 30, 2013
Jan. 03, 2015
Dec. 28, 2013
Dec. 29, 2012
Segment Reporting Information [Line Items]                      
Net Sales $ 775.6us-gaap_SalesRevenueGoodsNet $ 829.8us-gaap_SalesRevenueGoodsNet $ 850.4us-gaap_SalesRevenueGoodsNet $ 801.2us-gaap_SalesRevenueGoodsNet $ 727.2us-gaap_SalesRevenueGoodsNet $ 768.2us-gaap_SalesRevenueGoodsNet $ 822.0us-gaap_SalesRevenueGoodsNet $ 778.2us-gaap_SalesRevenueGoodsNet $ 3,257.1us-gaap_SalesRevenueGoodsNet $ 3,095.7us-gaap_SalesRevenueGoodsNet $ 3,166.9us-gaap_SalesRevenueGoodsNet
Long-Lived Assets 531.5us-gaap_NoncurrentAssets       573.4us-gaap_NoncurrentAssets       531.5us-gaap_NoncurrentAssets 573.4us-gaap_NoncurrentAssets  
United States [Member]                      
Segment Reporting Information [Line Items]                      
Net Sales                 2,359.3us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementGeographicalAxis
= country_US
2,017.6us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementGeographicalAxis
= country_US
2,127.2us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementGeographicalAxis
= country_US
Long-Lived Assets 293.5us-gaap_NoncurrentAssets
/ us-gaap_StatementGeographicalAxis
= country_US
      244.5us-gaap_NoncurrentAssets
/ us-gaap_StatementGeographicalAxis
= country_US
      293.5us-gaap_NoncurrentAssets
/ us-gaap_StatementGeographicalAxis
= country_US
244.5us-gaap_NoncurrentAssets
/ us-gaap_StatementGeographicalAxis
= country_US
 
MEXICO                      
Segment Reporting Information [Line Items]                      
Long-Lived Assets 33.5us-gaap_NoncurrentAssets
/ us-gaap_StatementGeographicalAxis
= country_MX
      111.4us-gaap_NoncurrentAssets
/ us-gaap_StatementGeographicalAxis
= country_MX
      33.5us-gaap_NoncurrentAssets
/ us-gaap_StatementGeographicalAxis
= country_MX
111.4us-gaap_NoncurrentAssets
/ us-gaap_StatementGeographicalAxis
= country_MX
 
Rest Of The World [Member]                      
Segment Reporting Information [Line Items]                      
Net Sales                 897.8us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementGeographicalAxis
= rbc_RestOfWorldMember
1,078.1us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementGeographicalAxis
= rbc_RestOfWorldMember
1,039.7us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementGeographicalAxis
= rbc_RestOfWorldMember
Long-Lived Assets 96.6us-gaap_NoncurrentAssets
/ us-gaap_StatementGeographicalAxis
= rbc_RestOfWorldMember
      106.1us-gaap_NoncurrentAssets
/ us-gaap_StatementGeographicalAxis
= rbc_RestOfWorldMember
      96.6us-gaap_NoncurrentAssets
/ us-gaap_StatementGeographicalAxis
= rbc_RestOfWorldMember
106.1us-gaap_NoncurrentAssets
/ us-gaap_StatementGeographicalAxis
= rbc_RestOfWorldMember
 
China [Member]                      
Segment Reporting Information [Line Items]                      
Long-Lived Assets $ 107.9us-gaap_NoncurrentAssets
/ us-gaap_StatementGeographicalAxis
= country_CN
      $ 111.4us-gaap_NoncurrentAssets
/ us-gaap_StatementGeographicalAxis
= country_CN
      $ 107.9us-gaap_NoncurrentAssets
/ us-gaap_StatementGeographicalAxis
= country_CN
$ 111.4us-gaap_NoncurrentAssets
/ us-gaap_StatementGeographicalAxis
= country_CN