Ohio Rev. Code Ann. § 5101.16
(A) As used in this section and sections 5101.161 and 5101.162 of the Revised Code:
(5) "Public assistance expenditures" means expenditures for all of the following:
(B) Each board of county commissioners shall pay the county share of public assistance expenditures in accordance with section 5101.161 of the Revised Code. Except as provided in division (C) of this section, a county's share of public assistance expenditures is the sum of all of the following for state fiscal year 1998 and each state fiscal year thereafter:
(C)
(D)
(3) If the per capita tax duplicate of a county is less than the per capita tax duplicate of the state as a whole and the percentage of families in the county with an annual income of less than three thousand dollars is greater than the percentage of such families in the state, the percentage to be used for the purpose of division (B)(2) of this section shall be determined as follows:
(F)
(1) The director of job and family services shall adopt rules in accordance with section 111.15 of the Revised Code to establish all of the following:
(d) The percentage to be used for the purpose of division (B)(3) of this section, which shall, except as provided in section 5101.163 of the Revised Code, meet both of the following requirements: