POWER OF ATTORNEY
                      FOR SECTION 16 REPORTING OBLIGATIONS

KNOW ALL BY THESE PRESENTS, that the undersigned hereby makes, constitutes and
appoints each of the Chief Executive Officer, Chief Financial Officer, General
Counsel and Corporate Controller of Wingstop Inc., a Delaware corporation, or
any successor thereto (the "Company"), as the undersigned's true and lawful
attorney-in-fact, with full power and authority as hereinafter described on
behalf of and in the name, place and stead of the undersigned to:

      (1)   prepare, execute in the undersigned's name and on the undersigned's
            behalf and submit to the U.S. Securities and Exchange Commission
            (the "SEC") a Form ID, including amendments thereto, and any other
            documents necessary or appropriate to obtain codes and passwords
            enabling the undersigned to make electronic filings with the SEC of
            reports required by Section 16(a) of the Securities Exchange Act of
            1934 (as amended, the "Exchange Act") or any rule or regulation of
            the SEC;

      (2)   prepare, execute, acknowledge, deliver and file Forms 3, 4, and 5
            (including any amendments thereto) with respect to the securities of
            the Company, with the SEC, any national securities exchange and the
            Company, as considered necessary or advisable under Section 16(a) of
            the Exchange Act of 1934 and the rules and regulations promulgated
            thereunder;

      (3)   seek or obtain, as the undersigned's representative and on the
            undersigned's behalf, information of transactions in the Company's
            securities from any third party, including brokers, employee benefit
            plan administrators and trustees, and the undersigned hereby
            authorizes any such person to release any such information to the
            undersigned and approves and ratifies any such release of
            information; and

      (4)   perform any and all other acts which in the discretion of such
            attorneys-in-fact are necessary or desirable for and on behalf of
            the undersigned in connection with the foregoing.

The undersigned acknowledges that:

      (1)   this Power of Attorney authorizes, but does not require, such
            attorneys-in-fact to act in their discretion on information provided
            to such attorney-in-fact without independent verification of such
            information;

      (2)   any documents prepared and/or executed by such attorneys-in-fact on
            behalf of the undersigned pursuant to this Power of Attorney will be
            in such form and will contain such information and disclosure as
            such attorneys-in-fact, in his or her discretion, deems necessary or
            desirable;

      (3)   this Power of Attorney does not relieve the undersigned from
            responsibility for compliance with the undersigned's obligations
            under the Exchange Act, including without limitation the reporting
            requirements under Section 16 of the Exchange Act; and

      (4)   neither the Company nor such attorneys-in-fact assumes any liability
            for the undersigned's responsibility or failure to comply with the
            requirements of the Exchange Act, including without limitation for
            profit disgorgement under Section 16(b) of the Exchange Act.


The undersigned hereby ratifies all that such attorneys-in-fact, for and on
behalf of the undersigned, shall lawfully do or cause to be done by virtue of
this Power of Attorney.

This Power of Attorney shall remain in full force and effect until the
undersigned is no longer required to file Forms 3, 4 and 5 with respect to the
undersigned's holdings of and transactions in securities issued by the Company,
unless earlier revoked by the undersigned in a signed writing delivered to the
foregoing attorneys-in-fact.

IN WITNESS WHEREOF, the undersigned has caused this Power of Attorney to be
executed as of this 11th day of July, 2017.


                                          /s/ Scott V. McLeod
                                         ---------------------------------------
                                                       Signature

                                          By: Scott V. McLeod