PERCENTAGE CHANGE CALCULATOR

Free online percent change calculator: find the increase or decrease between two numbers

PERCENT CHANGE CALCULATOR







Our percent change calculator uses this formula:

((y2 - y1) / y1)*100 = your percentage change
(where y1=start value and y2=end value)

This percentage change calculator compares a start value and an end value and instantly tells you the increase or decrease between them, in percent.

Just enter your two numbers above and press calculate — there is nothing to install, and it works in any browser, on desktop or mobile.

Our percent change calculator is used across finance, sales, tax calculations, chemistry, physics, and everyday math. Whether you're tracking a price increase, a weight loss percentage, or the growth or decline of any variable, it gives you an accurate result in seconds.

Looking for a specific situation? Browse our percentage change calculators, see real-world examples like salary raises and stock prices, or read our step-by-step guides to the formula.

Using Our Free Percent Change Calculator



It's incredibly simple, easy, and swift!
1. Input the starting and updated values into the specified boxes.
2. To get your percentage change result instantly, merely tap on 'calculate' to process.

Percentage Change Formula



Our percentage change calculator observes the following formula in every calculation:

(New Value - Initial Value)/(Initial Value) * 100 = percentage increase or decrease


Where percentage change is used

Percentage change comes up anywhere two values are compared over time. A few common examples:

- Investing: a stock's percentage gain or loss from purchase to sale
- Salary: the size of a raise, expressed as a percentage of the old salary
- Population: how much a city or country's population grew or shrank
- Retail: how much a price rose, fell, or was discounted
- Grades: the change in a test score from one attempt to the next
- Inflation: how much prices rose over a year, on average
- Business: revenue growth (or decline) from one quarter to the next
- Fitness: change in body weight, distance run, or other tracked metrics

Comparing two percentages to each other instead, like two interest rates or two approval ratings? That's usually measured in percentage points, not percentage change — see the guide for the difference.


Examples

1. Calculate the percentage increase of the rent

If the monthly cost of renting an apartment is $789 in June and the landlord has decided to charge a new price of $807.46 in the month of July. Calculate the percentage increase in the rent between June and July.

(807.46 - 789) / 789 × 100 = 18.46 / 789 × 100 = 2.339

Your rent has increased by 2.34%. We can verify that: 789 × 1.0234 = 807.46.

2. Calculate the production decline in percentage

The production of a company diminishes from 2345 pieces per day to 1870 pieces per day. What is the percentage decrease in production of this company?

(1870 - 2345) / 2345 × 100 = −20.256

The decrease in production is equal to -20.26%. We can verify that: 2345 × (1 - 20.26 / 100) = 2345 × 0.7974 = 1870 rounded to the nearest unit.

3. How to determine the percentage of a reduction

A seller gives you a discount of 30 USD on a household electrical appliance to 210 USD. What is the percentage reduction? You will pay 180 USD instead of the 210 USD requested. The tool gives us:

(180 - 210) / 210 × 100 = −14.29. The change from 210 to 180, in percentage, represents a decrease of -14.29% of 210.
We can verify that: 210 x (1 - 14.29 /100) = 210 x 0.8571 = 180.

4. Calculate the evolution in percentage of negative values

In order to calculate the change in percentage on negative values, one must take the absolute value of the initial value:
(new-old) / |old|.

A temperature drops from -20 degrees Fahrenheit to -45 degrees Fahrenheit. What is the percent change?
(-45 - (-20)) / 20 * 100 = 125
The temperature has dropped by 125%.
We can verify: 125% of 20 degrees Fahrenheit represents 25 degrees Fahrenheit. This gives -20 - 25 = -45 degrees.

Use our online percent change calculator to perform such calculations quickly and accurately.


Other percent calculations



These free calculators compute a number of values involving percentages.




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Calculating percentage change in the value of a number has never been made easier. The fact that our FREE website has a minimal load time makes the online percentage change calculator fun and super-fast. We guarantee there’s no downtime.

Thanks to its compatibility, you can even use this online tool on your smartphone or personal computer. It is an excellent tool for online users.


Want the full theory, with more worked examples? Read our guide on the percentage change formula explained (increase, decrease, and the multiplication factor), or find out why percentage points and percentage change aren't the same thing.