How to Calculate a Percentage Increase or Decrease: A Comprehensive Guide
Calculating the percentage increase or decrease is a fundamental skill that comes in handy in various aspects of life, from savings and investments to sales promotions. Understanding how to calculate these values will enable you to make well-informed decisions. This article will provide a step-by-step guide on how to calculate the percentage increase or decrease in any given situation.
Step 1: Identify the Initial and Final Values
To calculate a percentage increase or decrease, you first need to determine the initial value (the starting amount) and the final value (the ending amount). These two values are essential for the calculation process, regardless of whether the final value has increased or decreased from the initial value.
Step 2: Calculate the Difference between Initial and Final Values
Find out the difference between these two values by subtracting the initial value from the final value as follows:
Difference = Final Value – Initial Value
Step 3: Divide The Difference by the Initial Value
Now, you need to divide the difference you found in step 2 by the initial value:
Percent Change = (Difference / Initial Value)
Step 4: Convert The Result into a Percentage
To express your result as a percentage, multiply the fraction obtained in step 3 by 100.
Percentage = Percent Change * 100
The result will give you your percentage increase or decrease.
Now, let’s examine an example:
Imagine that you purchased a stock for $1,000 (Initial Value), and its current market value is $1,200 (Final Value).
1. Calculate the difference between initial and final values:
Difference = $1,200 – $1,000 = $200
2. Divide this difference by the initial value:
Percent Change = ($200 / $1,000) = 0.2
3. Convert this into a percentage:
Percentage = 0.2 * 100 = 20%
In this example, your stock has experienced a 20% increase in value.
Similarly, if the final value had been less than initial value (e.g., $950), you would follow the same steps to find that the percentage decrease was 5%.
In conclusion, calculating the percentage increase or decrease between two values is a simple yet valuable skill. By following the steps outlined in this article, you can quickly and accurately analyze various financial and statistical situations, making informed decisions that align with your goals.