How to convert satellite coordinates to latitude / longitude?

Hello.
I am writing a software program to show the latitude and longitude of a given satellite at a given time.

I am able to determine the x,y,z coordinate of the satellite using Keplernian elements.
How do I convert these to latitude / longitude?

For example:

X: 2742.55314743
Y: -6079.67068185
Z: -326.38672720

Result would be something like this.
Lat: 58.4320
Lon: -64.2344

any help is appreciated.

 

I just do not know how you got those lat and lon results.
I do not get them on the calculator online. (sorry I can not write link here) Google: ECEF to LLA converter.

I think it is not the results that you should get but lat: 0.529341 and lon:-65.719757

I write my code (Matlab), you also can look in WIKIPEDIA:

% ECEF = [x y z] input vector in ECEF coordinates. Units: [meters meters meters]
% LLA = [lon alt alt] output vector in LLA. Units: [radians radians meters]
% This function assumes the WGS84 model and geodetic (not geocentric)latitude.

Code:

function LLA = ECEF2LLA(ECEF )
x = ECEF(1);
y = ECEF(2);
z = ECEF(3);

a = 6378137;
e = 8.1819190842622e-2;

b   = sqrt(a^2 * (1 - e^2));
ep  = sqrt((a^2 - b^2) / b^2);
p   = sqrt(x^2 + y^2);
th  = atan2(a * z, b * p);
lon = atan2(y, x);
lat = atan((z + ep^2 * b * (sin(th))^3) / (p - e^2 * a * (cos(th))^3));
N   = a / sqrt(1 - e^2 * (sin(lat))^2);
alt = p / cos(lat) - N;

k = abs(x) < 1 & abs(y) < 1;
alt(k) = abs(z(k)) - b;

LLA = [lat,lon,alt];

end