Car accident settlement funding?

I was involved in an accident Feb 13. The other driver was completely at fault, as established by everyone's eye-witness accounts and his own admission. My leg was destroyed and he had the state minimum insurance coverage (15,000). I had full coverage plus the underinsured/uninsured motorist (another $15,000). his ins. co. offered me the max to settle. We got a lawyer instead. My question is, say we settle or are awarded a large sum of money and he has no more insurance or other ets. Where does the money come from?