How to calculate the function of percentage change rate

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It's probably a super simple question but I could not find an answer to this anywhere..

So we know that if IV increased by 100%, it takes 50% decrease of FV to return back to the IV. However, if IV increased by 35%, it takes 26% decrease of FV to revert to the IV and so on.

I am looking for a function that describe this relationship.

I hope it makes sense...Thank you!

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Note $p$ percentage in first operation ($p=100$ in your first example).

$y = x * (1+ \frac {p}{100} )$ : this is the first operation.

So $x = y \times \dfrac{1}{1+ \frac {p}{100}}$

This factor $\dfrac{1}{1+ \frac {p}{100}}$ , you want to see it as : $1 + \frac{q}{100}$ ( with q negative)

$\dfrac{1}{1+ \frac {p}{100}} = 1 + \frac{q}{100}$

$\frac{q}{100} = \dfrac{1}{1+ \frac {p}{100}} -1 = \dfrac {-\frac{p}{100}}{1+ \frac {p}{100}}$

$q = \dfrac { - p}{1+ \frac {p}{100}}$