No statutory cap, reasonableness still applies
Alaska imposes no statutory percentage cap on attorney contingency fees in general personal injury or medical malpractice cases. The fee is set by private agreement between attorney and client, though it must still be reasonable under Alaska Rule of Professional Conduct 1.5. 33.3%, or one-third, is a commonly used figure.
The genuinely surprising part: Alaska's "loser pays" rule mostly doesn't apply here
Alaska is widely known as the only US state with a general "loser pays" rule — under Civil Rule 82, the losing side in most civil litigation pays a share of the winning side's attorney's fees. But there's a specific carve-out that matters here: under AS 09.60.010, attorney fees generally may not be awarded in a civil action for personal injury, death, or property damage arising out of fault, unless specifically authorized by statute or agreement, or the case is fully contested. In practice, this means the fee-shifting Alaska is famous for mostly doesn't complicate your own contingency fee arrangement in an ordinary injury claim — that's governed separately, by Rule 1.5, between you and your attorney.
What else comes out before you do
Case costs — expenses the attorney typically advances during litigation, like expert witness fees, filing fees, and the cost of gathering medical records — are generally reimbursed from the settlement. If Medicare, Medicaid, or a private health insurer has an outstanding lien for medical treatment related to the injury, that amount is also repaid before you receive your net share.