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Accounting Policies (Percentage Distribution Between Major Classes Of Inventory) (Details) (USD $)
In Millions, unless otherwise specified
 12 Months Ended
Jan. 03, 2015
Dec. 28, 2013
Property, Plant and Equipment [Line Items]    
Percentage of LIFO Inventory 52.00%us-gaap_PercentageOfLIFOInventory 49.00%us-gaap_PercentageOfLIFOInventory
FIFO LIFO valuation difference $ 47.2rbc_FifoLifoValuationDifference $ 58.2rbc_FifoLifoValuationDifference
Raw Material and Work in Process 45.00%rbc_PercentageOfRawMaterialAndWorkInProcess 41.00%rbc_PercentageOfRawMaterialAndWorkInProcess
Finished Goods and Purchased Parts 0.00%rbc_PercentageOfFinishedGoodsAndPurchasedParts 59.00%rbc_PercentageOfFinishedGoodsAndPurchasedParts