% increase

Percentage increase calculator

The percentage increase calculator is a useful tool to calculate the increase from one value to another in terms of percentage of the original amount. Before using the calculator, you should 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. An increase of 5 percent would indicate that for every 100 units of increase, the original value increases by 5. 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.

  1. Identify the original value and the new value.
  2. Input the values into the formula.
  3. Subtract the original value from the new value, then divide the result by the original value.
  4. Multiply the result by 100. The answer is the percent increase.
  5. Check your answer using the percentage increase calculator.

Working out the problem by hand we get

  1. [(1,445 - 1,250)/1,250] *100
  2. (195/1,250) * 100
  3. 0.156 * 100
  4. 15.6 percent increase.

The percentage growth calculator is a great tool to check simple problems or solve more complex problems involve percent increase. 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.[(1,445 - 1,300)/1,445] * 100 1.(145/1,445) * 100

  1. 0.10 * 100 = 10 percent decrease

Closely related topics

We learned how to calculate percent increase and percent decrease, but sometimes we just are interest in the change in percent without concern of increase or decrease. If that is the case, you can use the percent change calculator or the percentage difference calculator. A situation which this might occur would be an opinion poll to see if the percent of people who favor a particular political candidate differs from 50 percent.