The percentage increase calculator is a useful tool if you need to calculate the increase from one value to another in terms of a percentage of the original amount. Before using this calculator, it may be beneficial for you to understand how to calculate percent increase by using the percent increase formula. The upcoming sections will explain these concepts in further detail.
How to calculate percent increase
The concept of percent increase is basically the amount of increase from the original number to the final number in terms of 100 parts of the original. An increase of 5 percent would indicate that, if you split the original value into 100 parts, that value has increases by an additional 5 parts. So if the original value increased by 14 percent, the value would increase by 14 for every 100 units, 28 by every 200 units and so on. To make this even more clear, we will get into an example using the percent increase formula in the next section.
Percent increase formula
The percent increase formula is as follows:
Percent increase = [(new value - original value)/original value] * 100
An example using the formula is as follows. Suppose a $1,250 investment increased in value to $1,445 dollars in one year. What is the percent increase of the investment? To answer this, us the following steps:
- Identify the original value and the new value.
- Input the values into the formula.
- Subtract the original value from the new value, then divide the result by the original value.
- Multiply the result by 100. The answer is the percent increase.
- Check your answer using the percentage increase calculator.
Working out the problem by hand we get:
[(1,445 - 1,250)/1,250] *100
(195/1,250) * 100
0.156 * 100
The percentage growth calculator is a great tool to check simple problems. It can even be used to solve more complex problems that involve percent increase. You may also find the percentage calculator is also useful in this type of problem.
Calculating percent decrease
If you want to know how to calculate percent decrease, we follow a very similar process as percent increase. Notice the slight modification of the formula:
Percent decrease = [(original value - new value)/original value] * 100
Suppose we have the same investment value after one year of $1,445. A year later the value decreased to $1,300. The percent decrease would be calculated as follows:
[(1,445 - 1,300)/1,445] * 100
(145/1,445) * 100
0.10 * 100 = 10percent decrease
Closely related topics
Although we have just covered how to calculate percent increase and percent decrease, sometimes we just are interest in the change in percent, regardless if it is an increase or a decrease. If that is the case, you can use the percent change calculator or the percentage difference calculator. A situation in which this may be useful would be an opinion poll to see if the percent of people who favor a particular political candidate differs from 50 percent.
While the percentage increase calculator is important in mathematics, it is also useful in science, such as calculating percent increase in mass of an chemical element in a compound.