SMyles and JustMC have a point.
Reagan had three goals: revive the economy, smash the Soviet Empire, and dismantle Big Government. He would've been extremely optimistic to think that he could reach any of these with a Democrat Congress. It's miraculous that he scored two of three. His tax-cut program started the longest peacetime expansion in American history and doubled federal tax revenue. Faced with a resolute, rearming United States, the Soviet Empire collapsed. The price of these two victories was a Congressional spending binge that has yet to end.
Looking back, we have the luxury of second-guessing Reagan. Maybe he should've cut government and left the Soviets alone. But at the time Reagan's deal with the left looked pretty good.