The percentage that lawyers take from a personal injury case can vary. You can find out the percentage of your attorney's fees from your agreement with your lawyer you signed at the start of your case.This law is in Section 408.221 of the Texas Labor Code. Dissatisfied with your personal injury lawyer? Learn how to fire them and understand the financial and legal impacts. In a contingency fee arrangement, the client (the injured party) does not have to pay their attorney any upfront or hourly fees.