how to calculate percentage increase

To calculate a percentage increase, subtract the old value from the new value, divide by the old value, then multiply by 100.

How to Calculate Percentage Increase

Basic formula

The standard formula for percentage increase is:

Percentage Increase=Final Value−Initial ValueInitial Value×100\text{Percentage Increase}=\frac{\text{Final Value}-\text{Initial Value}}{\text{Initial Value}}\times 100Percentage Increase=Initial ValueFinal Value−Initial Value×100

This formula measures how much something has grown relative to where it started, expressed as a percentage.

Put into words:

Find the increase:
Increase=Final Value−Initial Value\text{Increase}=\text{Final Value}-\text{Initial Value}Increase=Final Value−Initial Value.

Divide that increase by the initial value.

Multiply the result by 100 to turn it into a percentage.

If the result comes out negative, that means it was actually a percentage decrease , not an increase.

Step‑by‑step example

Imagine a price goes from 50 to 65.

Increase = 65 − 50 = 15.

Divide by original (initial) value: 15÷50=0.315÷50=0.315÷50=0.3.

Turn into a percentage: 0.3×100=30%0.3×100=30%0.3×100=30%.

So the percentage increase from 50 to 65 is 30%. A common real example: a salary rising from 700 to 1050 is a 50% increase, because (1050−700)÷700×100=50%(1050−700)÷700×100=50%(1050−700)÷700×100=50%.

Mini “cheat sheet”

Percentage increase between two numbers = IncreaseOriginal Number×100\frac{\text{Increase}}{\text{Original Number}}×100Original NumberIncrease×100.

“Increase” means new − old (final − initial).

Positive result → percentage increase; negative result → percentage decrease.

Quick HTML table (for your post)

html

<table>
  <thead>
    <tr>
      <th>Step</th>
      <th>What to do</th>
      <th>Example (50 → 65)</th>
    </tr>
  </thead>
  <tbody>
    <tr>
      <td>1</td>
      <td>Find the increase: Final − Initial</td>
      <td>65 − 50 = 15</td>
    </tr>
    <tr>
      <td>2</td>
      <td>Divide increase by Initial</td>
      <td>15 ÷ 50 = 0.3</td>
    </tr>
    <tr>
      <td>3</td>
      <td>Multiply by 100</td>
      <td>0.3 × 100 = 30%</td>
    </tr>
  </tbody>
</table>

One‑sentence “Quick Scoop” version

To get percentage increase, do (new−old)÷old×100(\text{new}−\text{old})÷\text{old}×100(new−old)÷old×100, and if the answer is positive it’s an increase, if it’s negative it’s a decrease.

Information gathered from public forums or data available on the internet and portrayed here.

how to calculate percentage increase