Wyo. Stat. Ann. § 22-10-105

When the expense of an election held in a county is chargeable in whole or in part to the state, a political subdivision thereof or other governmental entity other than the county, the state, subdivision or other governmental entity shall pay to the county a fee per day fixed by the board of county commissioners for use of voting machines. When the expense is divided by law among two (2) or more entities participating in the election, the rental fee expense shall be shared proportionately.