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# Percentage Change Calculator

To use percentage change calculator, enter the required values, and click calculate button

## Percentage Change Calculator

Percentage Change Calculator is used to find the increasing or decreasing of percentage between two values. The percentage change calculator provides a step-by-step solution.

## What is the percentage change?

Percentage change mean is a measure of the relative difference between two values indicated as a percentage. It represents the difference between a final value and an initial value (two values at different points in time) in terms of a percentage of the initial value.

## Formula of percentage change

Percentage Change = [(Final value – Initial value)/ initial value] x 100

If,

- Final value = V
_{2} - Initial Value = V
_{1}

The formula of Percentage Change becomes.

Percentage Change = [(V_{2} – V_{1})/ V_{1}] x 100

**Note:**

A negative sign of the percentage change value shows that the percentage decreases between the two values and a Positive sign shows the percentage increases between the two values.

## How to calculate percentage change?

In this section, we discussed examples of the percentage change.

** Example 1:**

If the final value is 2000 and the initial value is 1500 then find the percentage change.

**Solution:**

**Step 1:** Write the data.

V_{2} = 2000, V_{1 }= 1500,

Percentage Change =?

**Step 2: **Write the Formula of Percentage Change.

Percentage Change = [(V_{2} – V_{1})/ V_{1}] x 100

**Step 3: **Put the values in the above formula and simplify.

V_{2} = 2000, V_{1 }= 1500

= [(2000 – 1500)/ 1500] x 100

= [500/ 1500] x 100

= 0.33 x 100

= 33.00 %

**Percentage Change = 33.00 % (increases)**

**Example 2:**

If a city's population increases from 100,000 to 120,000, then find the increases percentage change.

**Solution:**

**Step 1: **Write the data.

V_{2} = 120000, V_{1 }= 100000

Percentage Change =?

**Step 2:** Write the Formula of Percentage Change.

Percentage Change = [(V_{2} – V_{1})/ V_{1}] x 100

**Step 3: **Put the values in the above formula and simplify.

V_{2} = 120000, V_{1 }= 100000

= [(120000 – 100000)/ 100000] x 100

= [20000 / 100000] x 100

= 0.20 x 100

= 20 %

**Percentage Change = 20 % (Increases)**

### Some more results

Here are a few results of the percentage change

Final Value (V | Initial Value (V | Percentage Change |

15 | 12 | 25.00 % increase |

12 | 15 | -20.00 % decrease |

154 | 133 | 16.00 % increase |

167 | 189 | 16.00 % increase |

15800 | 18990 | -17.00 % decrease |

15823 | 18976 | -17.00 % decrease |

15678 | 14567 | 8.00 % increase |

15988 | 16789 | -5.00 % decrease |