107 LearnersLast updated on June 23rd, 2025
Percentage Increase Calculator
A calculator is a tool designed to perform both basic arithmetic operations and advanced calculations, such as those involving percentages. It is especially helpful for completing mathematical school projects or exploring complex mathematical concepts. In this topic, we will discuss the Percentage Increase Calculator.
What is the Percentage Increase Calculator
The Percentage Increase Calculator is a tool designed for calculating the percentage increase from one value to another.
A percentage increase shows how much a quantity has grown in comparison to its original amount, expressed as a percentage.
The formula used is: Percentage Increase = [(New Value - Original Value) / Original Value] × 100.
How to Use the Percentage Increase Calculator
For calculating the percentage increase using the calculator, we need to follow the steps below -
Step 1: Input: Enter the original value and the new value
Step 2: Click: Calculate Percentage Increase. By doing so, the values we have given as input will get processed
Step 3: You will see the percentage increase in the output column
Tips and Tricks for Using the Percentage Increase Calculator
Mentioned below are some tips to help you get the right answer using the Percentage Increase Calculator.
Know the formula:
The formula for percentage increase is [(New Value - Original Value) / Original Value] × 100.
Use the Right Units:
Make sure the values are in the right units, like dollars or kilograms. The answer will be a percentage, so it’s important to match them.
Enter Correct Numbers:
When entering the original and new values, make sure the numbers are accurate. Small mistakes can lead to big differences, especially with larger numbers.
Common Mistakes and How to Avoid Them When Using the Percentage Increase Calculator
Calculators mostly help us with quick solutions. For calculating complex math questions, students must know the intricate features of a calculator. Given below are some common mistakes and solutions to tackle these mistakes.
Mistake 1
Rounding off too soon
Rounding the decimal number too soon can lead to wrong results. For example, if the percentage increase is 15.67%, don’t round it to 16% right away. Finish the calculation first.
Mistake 2
Entering the wrong value as input
Make sure to double-check the numbers you enter as the original and new values. If you enter the original value as 50 instead of 40, the result will be incorrect.
Mistake 3
Mixing up the percentage increase with percentage decrease
The percentage increase formula differs from the percentage decrease formula. Using the wrong formula will give the wrong result. Remember that a percentage increase indicates growth, not reduction.
Mistake 4
Relying too much on the calculator
The calculator gives an estimate. Real situations may have more variables, so the answer might be slightly different. Keep in mind that it's an approximation.
Mistake 5
Mixing up positive and negative signs
Always check that you’ve entered the correct positive (+) or negative (–) signs. A small mistake, like using the wrong sign for the values, can completely change the result. Make sure the signs are correct before finishing your calculation.
Percentage Increase Calculator Examples
Problem 1
Help Maria find the percentage increase in her salary if it went from $3000 to $3500.
The percentage increase in Maria's salary is 16.67%.
Explanation
To find the percentage increase, we use the formula: Percentage Increase = [(New Value - Original Value) / Original Value] × 100
Here, the original value is $3000, and the new value is $3500.
Percentage Increase = [(3500 - 3000) / 3000] × 100
= [500 / 3000] × 100
= 0.1667 × 100
= 16.67%.
Problem 2
The price of a book increased from $40 to $50. What is the percentage increase?
The percentage increase in the price of the book is 25%.
Explanation
To find the percentage increase, we use the formula: Percentage Increase
= [(New Value - Original Value) / Original Value] × 100
Since the original price is $40 and the new price is $50,
we can find the percentage increase as Percentage Increase = [(50 - 40) / 40] × 100 = [10 / 40] × 100
= 0.25 × 100
= 25%.
Problem 3
Find the percentage increase in the population of a town if it went from 1200 people to 1500 people.
The percentage increase in population is 25%.
Explanation
To find the percentage increase, we use the formula:
Percentage Increase = [(New Value - Original Value) / Original Value] × 100
Original population = 1200, New population = 1500
Percentage Increase = [(1500 - 1200) / 1200] × 100 = [300 / 1200] × 100 = 0.25 × 100 = 25%.
Problem 4
The cost of a concert ticket increased from $75 to $90. Calculate the percentage increase.
The percentage increase in the cost of the concert ticket is 20%.
Explanation
Percentage Increase = [(New Value - Original Value) / Original Value] × 100
Here, the original cost is $75, and the new cost is $90.
Percentage Increase = [(90 - 75) / 75] × 100 = [15 / 75] × 100 = 0.20 × 100 = 20%.
Problem 5
A car's value rose from $20,000 to $22,000. Determine the percentage increase.
The percentage increase in the car's value is 10%.
Explanation
Percentage Increase = [(New Value - Original Value) / Original Value] × 100
Original value = $20,000, New value = $22,000
Percentage Increase = [(22000 - 20000) / 20000] × 100 = [2000 / 20000] × 100 = 0.10 × 100 = 10%.
FAQs on Using the Percentage Increase Calculator
1.What is the formula for calculating percentage increase?
2.What should be entered as the original value?
3.What will be the percentage increase if the original value is the same as the new value?
4.What units are used to represent the percentage increase?
5.Can we use this calculator to find percentage decrease?
Important Glossary for the Percentage Increase Calculator
- Percentage: A way of expressing a number as a fraction of 100.
- Original Value: The starting value before any change occurs.
- New Value: The value after the change has occurred.
- Increase: The amount by which a value grows.
- Formula: A mathematical relationship or rule expressed in symbols.
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Seyed Ali Fathima S
About the Author
Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.
Fun Fact
: She has songs for each table which helps her to remember the tables
