Percentage Change Calculator

V₁ (Initial Value):

V₂ (Final Value):

What is the percentage change calculator?

The percentage change calculator helps you determine the percent change between two values. This conversion is especially good in accounting, arithmetics, chemistry, physics, and other areas that handle numbers.

The percentage change calculator practically calculates the change by looking for the V1, or initial value, and the V2, or final value. Sometimes, V1 is the old value, and V2 is the new value. Remember that is important to consider the order in which the two numbers are defined; if you change the final with the initial, you will get a different result.

What means percentage change?

Percentage change measures how much a value has increased or decreased over a specific period of time or compared to a reference value. It expresses the change as a proportion of the original value.

When percentage change is being used?

Percentage change is useful in many areas, such as:

Analyzing financial data, such as stock prices, sales, or profits
Comparing performance over time, such as a company's revenue growth
Evaluating the effectiveness of a strategy or intervention
Understanding the impact of changes in a market or industry

Remember always to consider the context and the units of measurement when interpreting percentage changes.

The percentage change can be either

Positive (from 5 to 10), which means an increase.
Negative (from 10 to 8), which means a decrease.

Percentage change formula

The percentage change equals the difference between the final and initial values divided by the initial value and multiplied by 100.

Percentage Change= (Final Value – Initial Value)/ Initial Value x 100

which can be simplified to

Percentage Change= (V2 – V1)/ V1 x 100

Where:

The final value, V2, is the current value or the value at the end of the period.
The initial value V1 is the original value or the value at the beginning of the period.

For example, let's say you want to calculate the percentage change in the price of a stock from 50 to 60.

Percentage change = ((60 - 50) / 50) x 100 = 20%

This means the stock price has increased by 20% from 50 to 60.

How to calculate percentage changes?

Example 1: Percentage change between two prices

What is the percentage change for a latte at two coffee shops price for a latte at competitor 1 is $3.25, and the price for a latte at competitor 2 is $3,75.

So, V1 = 3.25, and V2: $3.75

Let’s use the formula:

Percentage Change= (V2 – V1)/ V1 x 100

($3.75-$3.25)/ $3.25 x 100

0.50/3.25 x 100

0.1538 x 100

15.38% change or an increase of 15.38% from $3.25 to $3.75.

Example 2: Percentage change between two numbers.

A shop had 75 blue shirts. After the sale, 50 blue shirts are still available. What is the percentage change from 75 to 50 shirts?

In this case, V1 = 75, and V2 = 50

Let’s use the formula:

Percentage Change= (V2 – V1)/ V1 x 100

(50-75)/ 75 x 100

-25/75 x 100

-1/3 x 100

-0.3333 x 100

= -33.33%

Therefore, the stock from 75 to 50 shirts represents a -33.33% change or 50 represents a decrease of 33.33% in the stock from 75 as initial value.

After going through to there lines, you should have a better perspective on:

How to calculate percent change
What is the percentage change formula
Learn to handle different percentage change exercices
Learn to handle different percentage change exercices.