Calculating the percentage change from two numbers is a very common math problem to solve. In this blog post, we'll cover how to calculate the percentage difference from 3 to 120 and also check whether it is a percentage increase or a decrease.
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There are a couple of simple steps we need to follow to find out the percentage change between 3 to 120. First of all, we need to deduct the number we want to measure the change from, 3 from the number we want to measure the change to, 120:
Now that we have the number 117, we can work out the decimal change by dividing it by the number we want to measure the change from, 3:
The final step in working out the change from 3 to 120 is to multiply our decimal number by 100. Remember that "percent" means parts per hundred, and this is why we have to multiply it by 100 to get our answer:
(Note that we have rounded the final percentage down to two decimal places)
As you can see, the actual process of calculating the percentage change from 3 to 120 is relatively straightforward to do. We can now easily see that the percentage change from 3 to 120 is an increase of 3900%.
Why Calculate a Percentage Change?
For a percentage change, like from 3 to 120, we do these types of calculation all the time in real life. A few examples might be:
- A business might want to calculate whether their profit margin is increasing or decreasing
- An employee who worked extra hours this month might be curious to find out how much extra work he did as a percentage
- An investor looking at their portfolio might want to work out whether their investments have increased or decreased
Practice Percentage Worksheets
Practice Percentage Changes Using Examples
If you want to continue learning about how to calculate a change in percentage between two numbers, take a look at the random calculations in the sidebar to the right of this blog post.
We have listed some completely random percentage change examples that you can follow along with to help you work through a number of problems.
Each article will show you, step-by-step, how to work out the percentage increase or decrease and will help students to really learn and understand this process.
Calculate Another Percentage Difference
Enter your numbers into the boxes below below and click "Calculate" to work out the percentage increase or decrease.