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*Image by**Gerd Altmann**from Pixabay*

In this article, I'm going to be demonstrating **how to calculate a **** percentage change**. Since many of you reading this will be dealing with crypto cash, you may find this post useful.

So, let's say for example your **one Bitcoin** is worth **£8,200**. Let's then say after a couple of days, its value rose to **£8,400**. What was the **percentage change**?

Well, you had a __starting value__ of £8,200. Let's call this **(x)**. You ended up with your starting value **(x)** plus the __percentage change__ **(p)** multiplied by your starting value **(p*x)**. We'll call this __final value__ (y).

**x = starting value**

**p = percentage change**

**y = final value**

In mathematical terms, your final value can be described as thus:

**y = x + x*p = x*(1 + p)**

Since you are only looking for the percentage change, you must isolate (p).

Here are the steps to isolate (p):

**y = x*(1 + p)**

**1 + p = y/x**

**p = (y/x) - 1**

In ordinary words, the percentage change (p) should be:

**Percentage Change = (Final Value / Starting Value) - 1**

With this, you'd get a fraction which needs to be turned into a percentage that ** appeals to the human mind**.

To **spice up** your final result, you can **multiply by 100**.

So you could say that:

**p = [(y/x) - 1]*100**

Or in words...

**Percentage Change = [(Final Value / Starting Value) - 1]*100**

Anyway, let me demonstrate how this would work in principle:

Here are your values:

**Final Value = £8,400**

**Starting Value = £8,200**

So, you could calculate the percentage change in this manner:

**Percentage Change = [(£8,400 / £8,200) - 1]*100**

Which is the same as:

**p = [(y/x) -1]*100**

Your result should be:

**+2.44% (to 2 decimal places)**

Now you can check this result and the power of the formula:

**£8,200 * 2.44% = £200.08**

The difference between £8,200 and £8,400 is **exactly £200**, so you can tell that the formula works.

** This is the beauty of financial mathematics**.

*Video related to this post (05.10.2020):*

*Article by Tiago Hands:**https://www.instagram.com/tiago_hands**Mathematics Proofs (Instagram):**https://www.instagram.com/mathematics.proofs**For mathematics articles:**https://read.cash/@mathematics.proofs*

I love mathematics, Everyday i watch youtube about math, i can't help watching math lesson. I like MinuteMath and Khan academy, thanks for sharing math info keep it up.