Consolidated Statements Of Cash Flows (USD $) In Millions, unless otherwise specified	12 Months Ended
Jan. 03, 2015	Dec. 28, 2013	Dec. 29, 2012
CASH FLOWS FROM OPERATING ACTIVITIES:
Net Income (Loss)	$ 36.1us-gaap_ProfitLoss	$ 126.0us-gaap_ProfitLoss	$ 200.3us-gaap_ProfitLoss
Adjustments to Reconcile Net Income to Net Cash Provided by Operating Activities (net of Acquisitions):
Depreciation	92.0us-gaap_Depreciation	84.4us-gaap_Depreciation	82.0us-gaap_Depreciation
Amortization	46.7us-gaap_AdjustmentForAmortization	44.1us-gaap_AdjustmentForAmortization	44.0us-gaap_AdjustmentForAmortization
Goodwill Impairment	119.5us-gaap_GoodwillImpairmentLoss	76.3us-gaap_GoodwillImpairmentLoss	0us-gaap_GoodwillImpairmentLoss
Asset Impairments and Other, Net	40.0us-gaap_AssetImpairmentCharges	4.7us-gaap_AssetImpairmentCharges	0us-gaap_AssetImpairmentCharges
Share-based Compensation Expense	11.9us-gaap_ShareBasedCompensation	11.4us-gaap_ShareBasedCompensation	9.0us-gaap_ShareBasedCompensation
Provision for (Benefit from) Deferred Income Taxes	(26.4)rbc_ProvisionForDeferredIncomeTaxes	(5.5)rbc_ProvisionForDeferredIncomeTaxes	6.5rbc_ProvisionForDeferredIncomeTaxes
Excess Tax Benefits from Share-based Compensation	(1.3)	(0.8)	(2.2)
Loss on Venezuela Currency Devaluation	10.4	3.6	0
Loss (Gain) on Disposition of Assets	(12.1)us-gaap_GainLossOnDispositionOfAssets	2.0us-gaap_GainLossOnDispositionOfAssets	(2.4)us-gaap_GainLossOnDispositionOfAssets
Gain on Disposal of Real Estate	1.9us-gaap_GainLossOnSaleOfBusiness	0us-gaap_GainLossOnSaleOfBusiness	0us-gaap_GainLossOnSaleOfBusiness
Provision for Losses on Receivables	19.5	2.7	(1.3)
Changes in Assets and Liabilities, Net of Acquisitions:
Receivables	(3.4)us-gaap_IncreaseDecreaseInReceivables	(19.6)us-gaap_IncreaseDecreaseInReceivables	(13.6)us-gaap_IncreaseDecreaseInReceivables
Inventories	(55.4)us-gaap_IncreaseDecreaseInInventories	(52.7)us-gaap_IncreaseDecreaseInInventories	40.9us-gaap_IncreaseDecreaseInInventories
Accounts Payable	6.9	44.5	(5.3)
Current Liabilities and Other	11.9	(16.1)	(6.2)
Net Cash Provided by Operating Activities	(298.2)	(305.0)	(351.7)
CASH FLOWS FROM INVESTING ACTIVITIES:
Additions to Property, Plant and Equipment	(83.6)	(82.7)	(91.0)
Purchases of Investment Securities	(46.7)	(32.2)	(13.0)
Sales of Investment Securities	44.8	32.9	4.7
Business Acquisitions, net of Cash Acquired	(128.2)	(38.4)	(110.4)
Additions of Equipment for Operating Leases	(4.6)	(8.3)	0
Grants Received for Capital Expenditures	0	1.6	8.7
Proceeds from Divestiture of Businesses	0.9	0	0
Proceeds from Sale of Assets	12.5	1.7	3.4
Net Cash Used in Investing Activities	(204.9)	(125.4)	(197.6)
CASH FLOWS FROM FINANCING ACTIVITIES:
Net Proceeds from the Sale of Common Stock	0	0	202.9
Borrowings under Revolving Credit Facility	296.2us-gaap_ProceedsFromLinesOfCredit	20.0us-gaap_ProceedsFromLinesOfCredit	292.5us-gaap_ProceedsFromLinesOfCredit
Repayments under Revolving Credit Facility	(279.2)us-gaap_RepaymentsOfLinesOfCredit	(20.0)us-gaap_RepaymentsOfLinesOfCredit	(301.5)us-gaap_RepaymentsOfLinesOfCredit
Proceeds from Short-Term Borrowings	62.1	46.0	41.2
Repayments of Short-Term Borrowings	(61.9)	(46.5)	(40.9)
Repayments of Long-Term Debt	(150.4)us-gaap_RepaymentsOfLongTermDebt	(55.9)us-gaap_RepaymentsOfLongTermDebt	(90.3)us-gaap_RepaymentsOfLongTermDebt
Dividends Paid to Shareholders	(37.8)us-gaap_PaymentsOfDividendsCommonStock	(35.1)us-gaap_PaymentsOfDividendsCommonStock	(30.8)us-gaap_PaymentsOfDividendsCommonStock
Proceeds from the Exercise of Stock Options	0.9	1.5	4.2
Excess Tax Benefits from Share-based Compensation	1.3	0.8	2.2
Payments of Deferred Purchase Price	(5.3)us-gaap_FeesAndCommissionsOther	0us-gaap_FeesAndCommissionsOther	0us-gaap_FeesAndCommissionsOther
Purchase of Subsidiary Shares from Noncontrolling Interest	0us-gaap_PaymentsToMinorityShareholders	(1.7)us-gaap_PaymentsToMinorityShareholders	0us-gaap_PaymentsToMinorityShareholders
Repurchase of Common Stock	(35.0)	0	0
Payments of Contingent Consideration	(8.6)rbc_PaymentsOfContingentConsideration	0rbc_PaymentsOfContingentConsideration	0rbc_PaymentsOfContingentConsideration
Distribution to Noncontrolling Interests	(0.3)	0	(2.4)
Net Cash (Used In) Provided By Financing Activities	(218.0)	(90.9)	77.1
EFFECT OF EXCHANGE RATES ON CASH and CASH EQUIVALENTS	(7.2)	2.0	1.5
Net increase (decrease) in Cash and Cash Equivalents	(131.9)	90.7	232.7
Cash and Cash Equivalents at beginning of period	466.0	375.3	142.6
Cash and Cash Equivalents at end of period	334.1	466.0	375.3
SUPPLEMENTAL DISCLOSURES OF CASH FLOW INFORMATION:
Interest	39.9us-gaap_InterestPaid	41.7us-gaap_InterestPaid	43.8us-gaap_InterestPaid
Income Taxes	$ 58.2us-gaap_IncomeTaxesPaidNet	$ 49.6us-gaap_IncomeTaxesPaidNet	$ 63.9us-gaap_IncomeTaxesPaidNet

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The cash outflow to reacquire common stock during the period.

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The distributions of earnings to an entity that is affiliated with the reporting entity by means of direct or indirect ownership.

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Amount of cash outflow in the form of ordinary dividends to common shareholders of the parent entity.

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The cash outflow associated with the acquisition of a business, net of the cash acquired from the purchase.

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The cash outflow for payments to acquire rented equipment which is recorded as an asset.

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The cash outflow associated with the acquisition of long-lived, physical assets that are used in the normal conduct of business to produce goods and services and not intended for resale; includes cash outflows to pay for construction of self-constructed assets.

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The cash outflow for securities or other assets acquired, which qualify for treatment as an investing activity and are to be liquidated, if necessary, within the current operating cycle. Includes cash flows from securities classified as trading securities that were acquired for reasons other than sale in the short-term.

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Amount of cash outflow to a noncontrolling interest. Includes, but not limited to, reduction of noncontrolling interest ownership. Excludes dividends paid to the noncontrolling interest.

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The cash inflow associated with the amount received from the sale of a portion of the company's business, for example a segment, division, branch or other business, during the period.

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The cash inflow from the additional capital contribution to the entity.

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Amount of cash inflow from contractual arrangement with the lender, including but not limited to, letter of credit, standby letter of credit and revolving credit arrangements.

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The net cash inflow or cash outflow from a contractual arrangement with the lender, including letter of credit, standby letter of credit and revolving credit arrangements, under which borrowings can be made up to a specific amount at any point in time with either short term or long term maturity that is collateralized (backed by pledge, mortgage or other lien in the entity's assets).

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The net cash inflow or outflow for borrowing having initial term of repayment within one year or the normal operating cycle, if longer.

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The cash inflow from the sale of long-lived, physical assets that are used in the normal conduct of business to produce goods and services and not intended for resale.

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The cash inflow from sales of all investments, including securities and other assets, having ready marketability and intended by management to be liquidated, if necessary, within the current operating cycle. Includes cash flows from securities classified as trading securities that were acquired for reasons other than sale in the short-term.

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The cash inflow associated with the amount received from holders exercising their stock options. This item inherently excludes any excess tax benefit, which the entity may have realized and reported separately.

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The consolidated profit or loss for the period, net of income taxes, including the portion attributable to the noncontrolling interest.

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Amount of cash outflow for payment of an obligation from a lender, including but not limited to, letter of credit, standby letter of credit and revolving credit arrangements.

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The cash outflow for debt initially having maturity due after one year or beyond the normal operating cycle, if longer.

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The aggregate amount of noncash, equity-based employee remuneration. This may include the value of stock or unit options, amortization of restricted stock or units, and adjustment for officers' compensation. As noncash, this element is an add back when calculating net cash generated by operating activities using the indirect method.

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