Learn how to calculate percent increase with ease using step-by-step tutorials at TutorialKart.com. Our comprehensive guides help you understand the concept clearly, with examples and practical methods to master this important mathematical skill. Whether you’re calculating changes in prices, population, or data, TutorialKart offers the tools and explanations needed to understand percent increase effectively.

Calculating percent increase is a simple mathematical process that helps determine how much something has increased in relation to its original value. The result is a percentage that shows the size of the increase compared to the original amount. Below is a step-by-step guide to help you understand how to calculate percent increase.

Step-by-Step Procedure to Calculate Percent Increase

Here’s the step-by-step method to calculate percent increase:

  • Step 1: Determine the Original Value
    Start by identifying the original value or the initial amount before any increase occurred. This is often referred to as the “Old Value” or “Original Value.”
  • Step 2: Find the New Value
    Next, determine the new value, which is the final amount after the increase. Label this as the “New Value.”
  • Step 3: Subtract the Original Value from the New Value
    Subtract the original value from the new value to find the amount of increase:
    Increase = New Value - Original Value

  • Step 4: Divide the Increase by the Original Value
    Now, divide the amount of increase by the original value:
    Increase Ratio = (Increase / Original Value)

  • Step 5: Multiply by 100 to Get the Percentage
    Finally, multiply the result by 100 to convert the ratio into a percentage:
    Percent Increase = (Increase Ratio) × 100

Example Calculation

Let’s go through an example:

Problem: Suppose the price of a jacket increased from $50 to $65. What is the percent increase?

  • Original Value (Old Price): $50
  • New Value (New Price): $65
  • Find the Increase: Subtract the original price from the new price:
    $65 - $50 = $15

    So, the price increased by $15.
  • Divide by the Original Value: 
    15 ÷ 50 = 0.3
  • Convert to a Percentage: 
    0.3 × 100 = 30%

Therefore, the price of the jacket has increased by 30%.

Additional Example

Here’s another example:

Problem: The population of a town increased from 10,000 people to 12,500 people. What is the percent increase?

  • Original Population: 10,000 people
  • New Population: 12,500 people
  • Find the Increase: 
    12,500 - 10,000 = 2,500

    So, the population increased by 2,500 people.
  • Divide by the Original Population: 
    2,500 ÷ 10,000 = 0.25
  • Convert to a Percentage: 
    0.25 × 100 = 25%

Therefore, the population has increased by 25%.

Summary Formula for Percent Increase

To quickly calculate percent increase, use this simple formula:

Percent Increase = [(New Value - Original Value) ÷ Original Value] × 100

This formula will work for any scenario where you need to find the percent increase between an original value and a new value.

When to Use Percent Increase?

Percent increase is useful in various real-life scenarios such as:

  • Price Changes: Understanding how much prices of goods or services have increased over time.
  • Salary Increases: Calculating how much your salary has increased as a percentage.
  • Population Growth: Measuring the growth of a population over a certain period.
  • Stock Market: Tracking the rise in stock values as a percentage.

Understanding how to calculate percent increase helps you analyze changes in various aspects of daily life effectively.