Whenever any special election or special primary election is held as required in s. 100.101, each county incurring expenses resulting from such special election or special primary election shall be reimbursed by the state. Reimbursement shall be based upon actual expenses as filed by the supervisor of elections with the county governing body. The Department of State shall verify the expenses of each special election and each special primary election and authorize payment for reimbursement to each county affected.