I worked through a recruiter for my current job, so I was asked to name a salary up front to make sure it met the client's frame. I named a price some 20% high

I worked through a recruiter for my current job, so I was asked to name a salary up front to make sure it met the client's frame. I named a price some 20% higher than they wanted to pay max, but in the end, the client (now my employer) came up 10% above their max to get me to join.