On February 6, 1988, "Rev It Up" debuted at number 35 on the US
Billboard Album Rock Tracks chart. Nine weeks later, on April 9, the song ascended to its peak of number seven, where it stayed for two weeks. The song spent a total of 16 weeks on the chart's top 50 before leaving in May 1988. In Australia, the song debuted on the
Australian Music Report in March and went on to peak at number three on May 9, 1988. The single was also a top-10 hit in New Zealand, where it charted for 15 weeks and peaked at number six on the
RIANZ Singles Chart in June 1988. In Europe, the song charted in the United Kingdom and West Germany, peaking at number 90 in the former country and number 45 in the latter; it is Harrison's only charting solo single in both nations. "Rev It Up" additionally charted in South Africa, peaking at number 14 on the
Springbok Radio chart and staying in the top 20 for three weeks. ==Track listings==