understanding cycle sample expression

Hello , I cant understand the logic in this expression "cycles/N = fx/fs"

N is number of samples

fs- frequency if the whole signal of the with all the N periods

what is the meaning of our new frequency fx=(cycles*fs)/N ?

cycles /number of samples has no meaning

Thanks.

% Second example shows how to fix this problem by integer number of cycles.

% best to choose cycles=prime number otherwise quantization noise is periodic and non-randon . cycles/N = fx/fs.

% first select cycles=10 then cycles=11

%%%%%%%%% sampling definitions %%%%%%%%%

fs = 880e3;

N=100;

cycles=11

%%%%%%%%% signal definitions time/frequency %%%%%%%%%

fx = fs*cycles/N %% fx=50e3;

Afs=1;

% time vector

t=linspace(0, (N-1)/fs, N); %t = linspace(0, (N-1)/fs, N);

% input signal

y = Afs * cos(2*pi*fx*t)+0.0*cos(2*pi*5*fx*t);

[darova]

I don't know if this question about MATLAB