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Calculators and Calculations
Home›Calculators and Calculations›How to calculate percent change between two numbers

How to calculate percent change between two numbers

By Matthew Lynch
October 11, 2023
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Calculating the percent change between two numbers is a valuable skill that can help you assess the performance of investments, track changes in revenue, and analyze trends across various aspects of life. In this article, we will guide you through a simple step-by-step process to calculate percent change between two numbers effortlessly.

1. Understand the concept of percent change:

Percent change is a measure of proportional or relative change between an initial value (old number) and a final value (new number). It indicates the degree to which something has increased or decreased in value, expressed as a percentage.

2. Identify your initial value (Old Number) and final value (New Number):

To calculate the percent change between two numbers, you first need to identify your initial value (Old Number) and your final value (New Number). The Old Number represents the starting point or reference point for the comparison, and the New Number represents the updated or changed value.

3. Calculate difference between the two numbers:

Subtract the Old Number from the New Number:

Difference = New Number – Old Number

4. Divide the difference by absolute value of Old Number:

Next, divide the difference calculated in step 3 by the absolute value of the Old Number:

Percent Change = Difference / |Old Number|

5. Convert to percentage format:

Convert the result obtained in step 4 into percentage form by multiplying it by 100.

Percent Change (%) = Percent Change x 100

6. Interpret your results:

The result obtained in step 5 is your percent change between two numbers. A positive percent change indicates an increase in value, while a negative percent change denotes a decrease in value.

Example: Calculating Percent Change

Let’s look at an example to understand how to calculate percent change between two numbers:

Old Number (Initial Value): 120

New Number (Final Value): 150

Step 1: Difference = New Number – Old Number = 150 – 120 = 30

Step 2: Percent Change = Difference / |Old Number| = 30 / 120 = 0.25

Step 3: Percent Change (%) = Percent Change x 100 = 0.25 x 100 = 25%

So, the percent change between the two numbers is a 25% increase.

In conclusion, calculating percent change between two numbers is a simple process that involves understanding the concept, identifying the initial and final values, calculating their difference, dividing the difference by the absolute value of the old number, and converting the result into a percentage format. With these steps in mind, you are well-equipped to calculate percent change in various situations and interpret your results accordingly.

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