Unemployment Rate in Converse County, WY was 3.30% in December of 2025, according to the United States Federal Reserve. Historically, Unemployment Rate in Converse County, WY reached a record high of 9.70 in May of 2020 and a record low of 2.20 in April of 2008. Trading Economics provides the current actual value, an historical data chart and related indicators for Unemployment Rate in Converse County, WY - last updated from the United States Federal Reserve on April of 2026.