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<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2014-02-12</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001536035</issuerCik>
        <issuerName>Roundy's, Inc.</issuerName>
        <issuerTradingSymbol>RNDY</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001541008</rptOwnerCik>
            <rptOwnerName>Willis Stein &amp; Partners Management III, LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>1033 SKOKIE BOULEVARD</rptOwnerStreet1>
            <rptOwnerStreet2>SUITE 360</rptOwnerStreet2>
            <rptOwnerCity>NORTHBROOK</rptOwnerCity>
            <rptOwnerState>IL</rptOwnerState>
            <rptOwnerZipCode>60062</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
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            <isTenPercentOwner>1</isTenPercentOwner>
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    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001541007</rptOwnerCik>
            <rptOwnerName>Willis Stein &amp; Partners Management III, L.P.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>1033 SKOKIE BOULEVARD</rptOwnerStreet1>
            <rptOwnerStreet2>SUITE 360</rptOwnerStreet2>
            <rptOwnerCity>NORTHBROOK</rptOwnerCity>
            <rptOwnerState>IL</rptOwnerState>
            <rptOwnerZipCode>60062</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
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    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001555957</rptOwnerCik>
            <rptOwnerName>Willis Stein &amp; Partners III Sub, L.P.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>1033 SKOKIE BOULEVARD</rptOwnerStreet1>
            <rptOwnerStreet2>SUITE 360</rptOwnerStreet2>
            <rptOwnerCity>NORTHBROOK</rptOwnerCity>
            <rptOwnerState>IL</rptOwnerState>
            <rptOwnerZipCode>60062</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
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    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001555956</rptOwnerCik>
            <rptOwnerName>Willis Stein &amp; Partners Dutch III-A Sub, L.P.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>1033 SKOKIE BOULEVARD</rptOwnerStreet1>
            <rptOwnerStreet2>SUITE 360</rptOwnerStreet2>
            <rptOwnerCity>NORTHBROOK</rptOwnerCity>
            <rptOwnerState>IL</rptOwnerState>
            <rptOwnerZipCode>60062</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
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            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001555985</rptOwnerCik>
            <rptOwnerName>Willis Stein &amp; Partners Dutch III-B Sub, L.P.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>1033 SKOKIE BOULEVARD</rptOwnerStreet1>
            <rptOwnerStreet2>SUITE 360</rptOwnerStreet2>
            <rptOwnerCity>NORTHBROOK</rptOwnerCity>
            <rptOwnerState>IL</rptOwnerState>
            <rptOwnerZipCode>60062</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001555955</rptOwnerCik>
            <rptOwnerName>Willis Stein &amp; Partners III-C Sub, L.P.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>1033 SKOKIE BOULEVARD</rptOwnerStreet1>
            <rptOwnerStreet2>SUITE 360</rptOwnerStreet2>
            <rptOwnerCity>NORTHBROOK</rptOwnerCity>
            <rptOwnerState>IL</rptOwnerState>
            <rptOwnerZipCode>60062</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock, par value $0.01</value>
            </securityTitle>
            <transactionDate>
                <value>2014-02-12</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>6757357</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>6.685</value>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>7100496</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                    <footnoteId id="F2"/>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote</value>
                    <footnoteId id="F2"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock, par value $0.01</value>
            </securityTitle>
            <transactionDate>
                <value>2014-02-12</value>
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            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
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            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>203461</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>6.685</value>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
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            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>213794</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                    <footnoteId id="F3"/>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote</value>
                    <footnoteId id="F3"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock, par value $0.01</value>
            </securityTitle>
            <transactionDate>
                <value>2014-02-12</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
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            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>203461</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>6.685</value>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
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                <sharesOwnedFollowingTransaction>
                    <value>213794</value>
                </sharesOwnedFollowingTransaction>
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            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                    <footnoteId id="F4"/>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote</value>
                    <footnoteId id="F4"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock, par value $0.01</value>
            </securityTitle>
            <transactionDate>
                <value>2014-02-12</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
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            <transactionTimeliness>
                <value></value>
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            <transactionAmounts>
                <transactionShares>
                    <value>58597</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>6.685</value>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
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            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>61573</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                    <footnoteId id="F5"/>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote</value>
                    <footnoteId id="F5"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Represents public offering price of $7.00 per share net of the underwriters' discount of $0.315.</footnote>
        <footnote id="F2">Willis Stein &amp; Partners III Sub, L.P. (&quot;Fund III&quot;) is the record owner of these shares. Willis Stein &amp; Partners Management III, L.P. (&quot;Fund III General Partner&quot;) is the sole general partner of Fund III. Willis Stein &amp; Partners Management III, LLC (&quot;Management III&quot;) is the sole general partner of Fund III General Partner. John R. Willis and Avy H. Stein are the Managing Partners of Management III. The Managing Partners, acting together, have the power to vote or dispose of these shares. Neither of the Managing Partners, acting alone, has voting or dispositive authority over any shares.</footnote>
        <footnote id="F3">Willis Stein &amp; Partners Dutch III-A Sub, L.P. (&quot;Dutch III-A&quot;) is the record owner of these shares. Fund III General Partner is the sole general partner of Dutch III-A. Management III is the sole general partner of Fund III General Partner. John R. Willis and Avy H. Stein are the Managing Partners of Management III. The Managing Partners, acting together, have the power to vote or dispose of these shares. Neither of the Managing Partners, acting alone, has voting or dispositive authority over any shares.</footnote>
        <footnote id="F4">Willis Stein &amp; Partners Dutch III-B Sub, L.P. (&quot;Dutch III-B&quot;) is the record owner of these shares. Fund III General Partner is the sole general partner of Dutch III-B. Management III is the sole general partner of Fund III General Partner. John R. Willis and Avy H. Stein are the Managing Partners of Management III. The Managing Partners, acting together, have the power to vote or dispose of these shares. Neither of the Managing Partners, acting alone, has voting or dispositive authority over any shares.</footnote>
        <footnote id="F5">Willis Stein &amp; Partners III-C Sub, L.P. (&quot;Fund III-C&quot;) is the record owner of these shares. Fund III General Partner is the sole general partner of Fund III-C. Management III is the sole general partner of Fund III General Partner. John R. Willis and Avy H. Stein are the Managing Partners of Management III. The Managing Partners, acting together, have the power to vote or dispose of these shares. Neither of the Managing Partners, acting alone, has voting or dispositive authority over any shares.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>WILLIS STEIN &amp; PARTNERS MANAGEMENT III, LLC, By: David Mills, Its: Chief Financial Officer /s/ David Mills</signatureName>
        <signatureDate>2014-02-13</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>WILLIS STEIN &amp; PARTNERS MANAGEMENT III, L.P., By: Willis Stein &amp; Partners Management III, LLC, Its: General Partner, By: David Mills, Its: Chief Financial Officer /s/ David Mills</signatureName>
        <signatureDate>2014-02-13</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>WILLIS STEIN &amp; PARTNERS III SUB, L.P., By: Willis Stein &amp; Partners Management III, L.P., Its: General partner, By: Willis Stein &amp; Partners Management III, LLC, Its: General Partner, By: David Mills, Its: Chief Financial Officer
/s/ David Mills</signatureName>
        <signatureDate>2014-02-13</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>WILLIS STEIN &amp; PARTNERS DUTCH III-A SUB, L.P., By: Willis Stein &amp; Partners Management III, L.P., Its: General partner, By: Willis Stein &amp; Partners Management III, LLC, Its: General Partner, By: David Mills, Its: Chief Financial Officer /s/ David Mills</signatureName>
        <signatureDate>2014-02-13</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>WILLIS STEIN &amp; PARTNERS DUTCH III-B SUB, L.P., By: Willis Stein &amp; Partners Management III, L.P., Its: General partner, By: Willis Stein &amp; Partners Management III, LLC, Its: General Partner, By: David Mills, Its: Chief Financial Officer /s/ David Mills</signatureName>
        <signatureDate>2014-02-13</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>WILLIS STEIN &amp; PARTNERS III-C SUB, L.P., By: Willis Stein &amp; Partners Management III, L.P., Its: General partner, By: Willis Stein &amp; Partners Management III, LLC, Its: General Partner, By: David Mills, Its: Chief Financial Officer
/s/ David Mills</signatureName>
        <signatureDate>2014-02-13</signatureDate>
    </ownerSignature>
</ownershipDocument>
