Percent Change Calculator

How to Calculate Percentage Change?

Finding the percentage change between two quantities is straightforward. Using the percentage change formula, you can calculate the percent of change effectively.

To find percent change, simply:

1. Calculate the difference between the initial and the final values.
2. Then, divide it by the absolute value of the initial value.
3. Now, multiply the resultant value by 100.

If the calculated value is positive, it will be referred to as a percentage increase. And the negative value will be counted as a percentage decrease. Computing the percentage change is immensely useful in different applications used in various fields of life like sales, tax, physics, and other mathematics-related tasks.

Moreover, individuals who find the manual method a bit tricky and want to opt for an online method to calculate percent change. They can use our free online percent change calculator to find the change between values without requiring manual calculations.

The Percent Change Formula

There are different ways to calculate percentage change between values. But, the most common method is using the percent change calculation formula. You can quickly calculate percent change by adding the initial and final values in the percentage change formula.

The formula to calculate percentage change is:

Percentage change = [(New Value − Old Value)/ Old Value] × 100

Let’s understand the formula with an example:

Problem: Suppose the price of one Kg of Salt went from $8 to $12. What is the percentage change?

Solution:

The old value of salt = $8

New value = $12

Add the values in the percent change formula,

Percentage change = [(New Value − Old Value)/ Old Value] ×100

= [(12 -8)/12] x 100

= (0.333) x 100

= 33%

As the percentage change is positive, so it is a percentage increase.

Percentage Change Calculation Examples

Here, we will discuss a few other examples of percentage change calculation to make it easy for you to understand the concept effectively.

Example 1

The weight of a girl is 52 kg. If her weight was 40 kg the previous year, what is the percentage change?

Solution:

The new weight = 52

Old weight= 40

Adding the values in the percent change formula

Percentage change = [(New Value − Old Value)/ Old Value] ×100

= [(52 -40)/40] x 100

= (12/40) x 100

= 30%

The percentage change is positive, so there is a 30% increase in the girl’s weight.

Example 2

Sam misread the number 28 as 82. Find the percentage change in both numbers.

Solution:

Original Number: 28

Misread number = 82

Adding the values in the percentage change formula:

[(Misread number - Original number) / Original Number] × 100

= [(82 - 28) / 82] × 100

= (54 / 82) ×100

= 65.9%

Example 3

In March, Ryan worked a total of 40 hours, in April he worked 48 hours. What is the percentage change in his working hours?

Solution:

Working hours in March = 40

Working Hours in April = 48

Adding the values in the % change formula

[(Working hours in April – Working hours in March) / Working hours in March] × 100

= [(48 - 40) / 40] × 100

= [8 / 40] x 100

= 20%

The answer is positive, so there is a 20% increase in the working hours.

Example 4

The price of a bike is decreased from $300 to $200 after a discount. Find the percentage change in the amount.

Solution:

Original price of the bike = $300

Discounted price of the bike = $200

Adding the values in the percentage change formula:

[(Discounted Price – Original Price) / Original Value] × 100

= [(200 - 300) / 300] × 100

= (-100 / 300) × 100

= -33%

The answer is in negative, so there is a percentage decrease in the bike price.

How to Calculate Percent Change Between Negative Numbers?

Here is an example that helps you understand the process of calculating percentage change between negative numbers.

In this example, we will calculate percentage change from -8 to -18:

So, let’s start:

By subtracting the original value from the new value: -18 reduced by 8 is -10

As -8 is negative, we will erase the minus before it so that it will become a positive value of 8.

Now,

Divide -10 by the 8 you took from the last step.

-10 divided by 8 = -1.25

Now, multiply -1.25 by 100: It will become -125%.

So, the complete equation will look like:

25 = 18, 10 = 8, 15 = 10

[(-18 – (-8)) / |-8|] × 100 = (-10 / |-8|) × 100 = (-10 / 8) × 100 = -1.25 × 100 = -125%

Using a negative number instead of converting it to a positive will result in dividing -10 by -8, giving you a positive value i.e., 1.25. This will affect the end result, and the answer would have been 125%. Also, this will cause an error in the calculation. Therefore, it is vital for you to be extra vigilant while solving percentage calculation problems. A minor negligence will cause an error in the final results.

However, if you want to cross-check the answer to ensure accuracy, you can use our online percent change calculator.

Why Use an Online Percentage Change Calculator?

The manual method of calculating percentage change between two values is a complicated and time-consuming task. Moreover, excellent calculation skills and firm knowledge of mathematical rules are essential for accurate results. However, the chances of getting 100% accurate results using this method are low. In such a case, you can take the assistance of an online percent change calculator and calculate percent change between two quantities without facing difficulties.

The main benefits of using an online percentage change calculator are shared below.

Easy to Access & Use

The percent change calculator available on Duplichecker.com is a web-based utility that can easily be accessed from any device using an internet connection. The utility supports all web browsers and operating systems that allow you to make desired calculations without any intricacies. Moreover, the friendly interface and easy-to-understand layout of this free percentage change calculator enable you to find percent change between two numbers effortlessly.

No Manual Calculations Needed

Calculating percent change between two numbers is an ambiguous task when it comes to manual calculation. You need to pay full attention to each step to reduce the chances of mistakes. However, the assistance of an online percent change calculator provides you with the fastest way to find percent of change between two quantities without making any manual calculation.

Speedy Conversions

In contrast to the manual method of calculating percentage change between values, an online percent change calculator lets you find the percentage of change instantly. You don’t need to wait hours or follow any intricate process to get the percentage change calculation results. The advanced algorithms working at the backend of this online rate of change calculator process your inputs and provide reliable results quickly.

Limitless Conversions

The web-based percentage change calculator doesn’t impose limitations on calculating percent change between values. Users can use this free percent change calculator and perform countless calculations without observing any hurdles. Moreover, the online % change calculator will never ask users to go through any signup process or install any application to use its services. Hence, you can access the utility from anywhere and calculate percentage change between values immediately.

Error-Free Results

Humans are prone to make mistakes. The chances of errors in manual percentage change calculation methods are immensely higher, especially if you don’t have good mathematical skills. However, the online percent change offers you 100% reliable results instantly. You can Double-check the output generated by this rate of change calculator from any other facility to ensure authenticity.

FAQs

What is Percent Change?

Percentage change in a value is equal to the difference between the value's initial quantity and its new quantity multiplied by 100. The percentage change always changes whenever the percent of its initial quantity is increased or decreased to get its final value.

How Can I Find the Percent Change of Percentages?

Using the percentage change formula, you can find the difference in the percentage change. However, the assistance of an online free percent change calculator allows you to find the percentage change without making any manual effort.

How Can I Calculate Percent Change of Multiple Changes?

Yes! You can instantly calculate the percentage change in multiple changes by using the percent change formula, i.e.

Percentage change = [(New Value − Old Value)/ Old Value] ×100.

Alternatively, the assistance of an online percent change calculator enables you to compute the percent of change in multiple changes without making manual calculations. All you require is to enter the values in the given fields and hit the calculate button. The rate of change calculator will provide you with an increase or decrease in the percentage instantly.

What is the Percentage Change When 25 is Increased to 45?

V1 = 25, V2 = 45

Using the percentage formula:

(V2−V1) / V1|×100

= (45−25) / 25|×100

=20/25×100

=0.8×100

=80%

Thus, percentage change when 25 is increased to 45 is 80%.

What is the Percentage Change When 64 is Increased to 144?

Solution:

V1 = 64, V2 = 144

Using the % change formula:

(V2−V1) |V1|×100

= (144−64) / 64|×100

=80 / 64×100

=1.25×100

=125%

Thus, percent of change when 64 is increased to 144 is 125%.

What is the Percent Change from 10 to 20?

Solution:

V1 = 10, V2 = 20

Using the percent change formula:

(V2−V1) / V1| × 100

= (20−10) / 10| × 100

=10 / 10× 100

=1 × 100

=100%

Thus, the percentage change when 10 is increased to 20 is 100%.

What is the Percent Change from 20 to 30?

V1 = 20, V2 = 30

Using the percent rate of change formula:

= (V2−V1) / V1|×100

= (30−20) / 20|×100

=10 / 20×100

=0.5×100

=50%

Thus, the percentage of change when 20 is increased to 30 is 50%.