What if two different insurance companies find me at different faults (100% not at fault, and 50% at fault)?

thabboywannab asked: This is for the state of California.

I was in a car accident a couple of weeks ago. I only have liability insurance. After going through interviews by both insurance agents my insurance (Farmer’s Insurance) found me 100% not at fault. The other driver’s insurance (Mercury insurance) is only offering to [...]