The recommendation that most reputable trainers/sites give for someone who is trying to lose
fat and preserve muscle mass is 1g to 1.5g of protein per
pound of lean
body mass (LBM).
However, if you don't have an accurate measurement of your
fat percentge, then it's hard to know what your LBM is.

In that case I've seen (and I myself use) 1g of protein per 1 lb of *goal* bodyweight.
For example, right now I weigh 167. My
goal bodyweight is 135. So I aim for 135g of protein each day. I usually hit around 120 pretty easily.
I believe the US RDA for protein is 1g per 1kg of bodyweight, which works out to half of the above (about). I personally believe (based on lots of research) that's too little for someone who is cutting
calories and wanting to maintain muscle.
And just FWIW, Lyle McDonald, who is one of the most thorough researchers I know of, sticks very strongly with the 1g to 1.5g per 1lb of LBM.