<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2016-12-15</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001494319</issuerCik>
        <issuerName>Univar Inc.</issuerName>
        <issuerTradingSymbol>UNVR</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001474786</rptOwnerCik>
            <rptOwnerName>CD&amp;R Associates VIII, Ltd.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O MAPLES CORPORATE SERVICES LIMITED</rptOwnerStreet1>
            <rptOwnerStreet2>P.O. BOX 309, UGLAND HOUSE</rptOwnerStreet2>
            <rptOwnerCity>GRAND CAYMAN</rptOwnerCity>
            <rptOwnerState>E9</rptOwnerState>
            <rptOwnerZipCode>KY1-1104</rptOwnerZipCode>
            <rptOwnerStateDescription>CAYMAN ISLANDS</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001474716</rptOwnerCik>
            <rptOwnerName>CD&amp;R ASSOCIATES VIII, LP</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O MAPLES CORPORATE SERVICES LIMITED</rptOwnerStreet1>
            <rptOwnerStreet2>P.O. BOX 309, UGLAND HOUSE</rptOwnerStreet2>
            <rptOwnerCity>GRAND CAYMAN</rptOwnerCity>
            <rptOwnerState>E9</rptOwnerState>
            <rptOwnerZipCode>KY1-1104</rptOwnerZipCode>
            <rptOwnerStateDescription>CAYMAN ISLANDS</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001474785</rptOwnerCik>
            <rptOwnerName>CD&amp;R Investment Associates VIII, Ltd.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O MAPLES CORPORATE SERVICES LIMITED</rptOwnerStreet1>
            <rptOwnerStreet2>P.O. BOX 309, UGLAND HOUSE</rptOwnerStreet2>
            <rptOwnerCity>GRAND CAYMAN</rptOwnerCity>
            <rptOwnerState>E9</rptOwnerState>
            <rptOwnerZipCode>KY1-1104</rptOwnerZipCode>
            <rptOwnerStateDescription>CAYMAN ISLANDS</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001645294</rptOwnerCik>
            <rptOwnerName>CD&amp;R Univar Holdings, L.P.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O MAPLES CORPORATE SERVICES LIMITED</rptOwnerStreet1>
            <rptOwnerStreet2>P.O. BOX 309, UGLAND HOUSE</rptOwnerStreet2>
            <rptOwnerCity>GRAND CAYMAN</rptOwnerCity>
            <rptOwnerState>E9</rptOwnerState>
            <rptOwnerZipCode>KY1-1104</rptOwnerZipCode>
            <rptOwnerStateDescription>CAYMAN ISLANDS</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 per share</value>
            </securityTitle>
            <transactionDate>
                <value>2016-12-15</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>8024373</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>25.08</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>32561039</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By affiliate</value>
                    <footnoteId id="F1"/>
                    <footnoteId id="F2"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">CD&amp;R Univar Holdings, L.P. (&quot;CD&amp;R Holdings&quot;) directly owns 32,561,039 shares of Common Stock. CD&amp;R Associates VIII, Ltd., as the general partner of CD&amp;R Holdings, CD&amp;R Associates VIII, L.P., as the sole stockholder of CD&amp;R Associates VIII, Ltd., and CD&amp;R Investment Associates VIII, Ltd., as the general partner of CD&amp;R Associates VIII, L.P., may each be deemed to beneficially own the shares of Common Stock held by CD&amp;R Holdings.</footnote>
        <footnote id="F2">Each of CD&amp;R Associates VIII, Ltd., CD&amp;R Associates VIII, L.P. and CD&amp;R Investment Associates VIII, Ltd. expressly disclaims beneficial ownership of the shares of Common Stock held by CD&amp;R Holdings, except to the extent of its pecuniary interest therein.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>CD&amp;R Associates VIII, Ltd., By: /s/ Theresa A. Gore, VP, Treas. and Asst. Sec.</signatureName>
        <signatureDate>2016-12-19</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>CD&amp;R Associates VIII, L.P., By: CD&amp;R Investment Associates VIII, Ltd., its general partner, By: /s/ Theresa A. Gore, VP, Treas. and Asst. Sec.</signatureName>
        <signatureDate>2016-12-19</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>CD&amp;R Investment Associates VIII, Ltd., By: /s/ Theresa A. Gore, VP, Treas. and Asst. Sec.</signatureName>
        <signatureDate>2016-12-19</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>CD&amp;R Univar Holdings, L.P., By: CD&amp;R Associates VIII, Ltd., its general partner, By: /s/ Theresa A. Gore, VP, Treas. and Asst. Sec.</signatureName>
        <signatureDate>2016-12-19</signatureDate>
    </ownerSignature>
</ownershipDocument>
