Solved it:
/// <summary>
/// Extract yaw, pitch and roll from existing matrix.
/// </summary>
/// <param name="matrix">Matrix to extract from.</param>
/// <param name="yaw">Out yaw value.</param>
/// <param name="pitch">Out pitch value.</param>
/// <param name="roll">Out roll value.</param>
public void ExtractYawPitchRoll(Matrix matrix, out float yaw, out float pitch, out float roll)
{
yaw = (float)System.Math.Atan2(matrix.M13, matrix.M33);
pitch = (float)System.Math.Asin(-matrix.M23);
roll = (float)System.Math.Atan2(matrix.M21, matrix.M22);
}
Based on the code from here: https://github.com/cureos/aforge/blob/master/Sources/Math/Matrix4x4.cs#L239