Let's be careful here and not credit Reagan for bringing inflation under control. That would not be accurate. Inflation was never really a problem under Reagan. The period of high unemployment and high inflation rates began under the Nixon administration and continued under Ford and reached a zenith under Carter when the prime rate hit 21.5%, the highest in American history. The problem with inflation was brought under control when Carter appointed Paul Voeckler as Chairman of the Federal Reserve. Voeckler viewed bringing down inflation as a mandate and he was succesful through implementing tight monetary policy at the Fed though there was an unpleasant transition when the economy slowed and unemployment increased before inflation was brought under control. It was this transition phase in monetary policy, which though ultimately succesful that cost Carter dearly politically but the point being, this had all occurred before Reagan was even elected.