It's hard to give an absolute answer as you do not say whether you are under NEC3 or 4 and which main option you are under and hence which Schedule of Cost Components you are using. Reading between the lines, I am making an educate guess that you are under NEC3 ECC option A or B. Is that correct ?
From what you have said, it therefore appears that the Contractor has correctly applied the percentage for design overheads, the percentage for people overheads and the percentage for adjustment for Equipment in the published list and then correctly applied his direct fee percentage (assuming he is doing the work himself).
From what you have said, it therefore appears that the Contractor has correctly applied the percentage for design overheads, the percentage for people overheads and the percentage for adjustment for Equipment in the published list and then correctly applied his direct fee percentage (assuming he is doing the work himself).