How is calculated the amplitude in the FFT function?

Hello,
I have a time signal, for example an 1KHz tone. I use the FFT complex function to calculate its Fourier Transform, and I want to Know, which is the relation beetween the amplitude of this FFT and my time signal.
I have an example of a sine of 1KHz with an amplitude of 1V. When I calculate the FFT the result is one delta at the correspondient frecuency, but with an amplitude of 12149. My signal has 65536 samples.
Could you help me please?

With the complex FFT, I do believe you have to normalize the by half the size of your sample set. This should give you back the original magnitude of your signal. Take a look at this screenshot.
Attachments:
fft_magnitude.jpg ‏65 KB

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