Understanding percentage increase is an important math skill that is used in many real-life situations. From salary raises and business profits to population growth and price changes, percentage increase helps us measure how much something has grown over time.
Learning how to calculate percentage increase may sound difficult at first, but it is actually very simple when you follow the right steps. In this guide, you will learn the meaning of percentage increase, the formula used to calculate it, and several examples to help you understand the concept clearly.
What Is Percentage Increase?
Percentage increase shows how much a value has increased compared to its original amount. It tells us the growth rate in percentage form.
For example, if the price of a product increases from $50 to $60, we want to know how much the price increased compared to the original value.
Instead of just saying the price increased by $10, percentage increase tells us the rate of increase relative to the original price.
Percentage increase is commonly used in:
- Salary increases
- Product price changes
- Business profits
- Population growth
- Investment returns
Understanding percentage increase makes it easier to compare changes between different numbers.
Understanding the Percentage Increase Formula
To calculate percentage increase, we use a simple formula.
\text{Percentage Increase} = \left( \frac{\text{New Value} – \text{Original Value}}{\text{Original Value}} \right) \times 100
This formula may look complex at first, but it becomes easy when you understand its parts.
Original Value
The original value is the starting amount before the increase.
Example:
Original price = 50
New Value
The new value is the amount after the increase.
Example:
New price = 60
Increase Amount
The increase is the difference between the new value and the original value.
Increase = New Value − Original Value
Once we find the increase, we compare it to the original value and convert it into a percentage.
Step-by-Step Method to Calculate Percentage Increase
You can calculate percentage increase using four simple steps.
Step 1: Find the Increase
Subtract the original value from the new value.
Increase = New Value − Original Value
Step 2: Divide by the Original Value
Divide the increase by the original value.
Step 3: Multiply by 100
Multiply the result by 100 to convert it into a percentage.
Step 4: Write the Answer as a Percentage
Add the percent symbol (%) to the final result.
This step-by-step process works for all percentage increase calculations.
Simple Example of Percentage Increase
Let’s look at a simple example to understand the process clearly.
A product price increases from 50 to 60.
Step 1: Find the Increase
60 − 50 = 10
Step 2: Divide by the Original Value
10 ÷ 50 = 0.2
Step 3: Multiply by 100
0.2 × 100 = 20
Final Answer
The percentage increase is 20%.
So the price increased by 20 percent.
Real-Life Examples of Percentage Increase
Percentage increase is used in many everyday situations.
Salary Increase
Suppose a person’s salary increases from $2000 to $2400.
Step 1: Increase
2400 − 2000 = 400
Step 2: Divide by original value
400 ÷ 2000 = 0.2
Step 3: Multiply by 100
0.2 × 100 = 20%
So the salary increased by 20 percent.
Product Price Increase
A phone price increases from $300 to $360.
Step 1:
360 − 300 = 60
Step 2:
60 ÷ 300 = 0.2
Step 3:
0.2 × 100 = 20%
The price increased by 20%.
Population Growth
A city’s population grows from 10,000 to 12,000.
Step 1:
12,000 − 10,000 = 2,000
Step 2:
2,000 ÷ 10,000 = 0.2
Step 3:
0.2 × 100 = 20%
The population increased by 20 percent.
Percentage Increase vs Percentage Change
It is important to understand the difference between percentage increase and percentage decrease.
Percentage Increase
This happens when a value becomes larger than the original value.
Example:
Price increases from 50 to 60.
Percentage Decrease
This happens when a value becomes smaller than the original value.
Example:
Price decreases from 80 to 60.
Both calculations follow similar steps, but percentage decrease uses a different formula.
Understanding the difference helps avoid confusion when solving problems.
Practice Problems
Try solving these examples to test your understanding.
Problem 1
A price increases from 80 to 100.
Step 1:
100 − 80 = 20
Step 2:
20 ÷ 80 = 0.25
Step 3:
0.25 × 100 = 25%
The percentage increase is 25%.
Problem 2
A salary increases from 1200 to 1500.
Step 1:
1500 − 1200 = 300
Step 2:
300 ÷ 1200 = 0.25
Step 3:
0.25 × 100 = 25%
The salary increased by 25 percent.
Problem 3
A population increases from 5000 to 6500.
Step 1:
6500 − 5000 = 1500
Step 2:
1500 ÷ 5000 = 0.3
Step 3:
0.3 × 100 = 30%
The population increased by 30 percent.
Practicing problems like these will help you master percentage increase calculations.
Common Mistakes to Avoid
Students often make small mistakes when calculating percentage increase. Here are some common errors.
Dividing by the Wrong Number
Always divide by the original value, not the new value.
Forgetting to Multiply by 100
If you forget to multiply by 100, your answer will not be in percentage form.
Mixing Up Increase and Decrease
Make sure the value actually increased before using the percentage increase formula.
Tips for Calculating Percentage Increase Quickly
Here are some useful tips to make percentage increase calculations easier.
Follow the Same Steps Every Time
Using the same step-by-step method helps avoid mistakes.
Use a Calculator for Large Numbers
For bigger numbers, calculators make calculations faster and more accurate.
Practice With Real-Life Examples
Try calculating percentage increases for:
- Shopping prices
- Salary raises
- Business profits
- Population changes
Practice helps build confidence and speed.
Applications in Real Life
Percentage increase is widely used in many fields.
Business and Economics
Companies use percentage increase to measure profit growth and sales performance.
Education
Teachers and students use percentage increase to compare exam scores.
Finance and Investments
Banks use percentages to calculate interest and investment growth.
Market Trends
Businesses analyze percentage increase to understand changes in demand and prices.
These examples show why percentage increase is an important concept to learn.
Conclusion
Learning how to calculate percentage increase is a useful math skill that helps you understand growth and changes in numbers. By following the simple steps—finding the increase, dividing by the original value, and multiplying by 100—you can easily calculate percentage increases in different situations.
With practice, percentage increase calculations become quick and easy. Whether you are analyzing prices, salaries, or business data, understanding percentage increase will help you make better decisions and interpret numbers more effectively.
