When dealing with percentages, it’s often necessary to find the relationship or percentage difference between two numbers. This can help us understand how much one number has changed compared to another, allowing for more informed decisions and accurate interpretations of data. In this article, we will explore the steps to calculate the percentage change between two numbers.

Step 1: Understand the Formula

In order to calculate the percentage difference between two numbers, you need to first understand the simple formula:

Percentage Change = (New Value – Old Value) / Old Value * 100

The formula takes the difference between the new value and old value, divides it by the old value, and multiplies the result by 100 to obtain a percentage.

Step 2: Identify Your Numbers

Before making any calculations, you need to identify which two numbers you are comparing. For instance, let’s find out how much your salary has increased after receiving a raise. If your old salary is $2,500 per month and your new salary is $3,000 per month, these are our two values.

Old Value: $2,500

New Value: $3,000

Step 3: Calculate the Difference

Find the difference between your new value and your old value.

Difference = New Value – Old Value

Difference = $3,000 – $2,500

Difference = $500

So there’s a difference of $500 between your old and new salaries.

Step 4: Divide the Difference by Old Value

Next, you will divide that difference by your old value:

(Difference) / (Old Value) = ($500) / ($2,500) = 0.2

Step 5: Multiply by 100

Now multiply your result by 100 to obtain a percentage:

Percentage Change = (0.2) * (100) = 20%

Therefore, your salary has increased by 20%.

In conclusion, calculating the percentage change between two numbers is not daunting when you follow these simple steps. Understanding how to calculate a percentage can help you better comprehend data and present your findings more clearly in various situations including, but not limited to, finance, education, and scientific research.