Percentage Increase Calculator
Find how much a value has grown by calculating the percentage increase between two numbers.
How to Calculate Percentage Increase
Percentage increase is one of the most commonly used mathematical calculations in everyday life. Whether you are tracking salary raises, monitoring investment returns, or comparing prices over time, knowing how to calculate the percentage increase helps you understand the magnitude of change relative to the starting point.
The Percentage Increase Formula
The formula for calculating percentage increase is straightforward:
Percentage Increase = ((New Value - Original Value) / Original Value) × 100
This formula works by finding the difference between the two values, dividing that difference by the original value to get a ratio, and then multiplying by 100 to express the result as a percentage.
Step-by-Step Example
Let us walk through a practical example. Suppose your monthly electricity bill was $120 last month and it increased to $150 this month. To find the percentage increase:
Step 1: Find the difference: $150 - $120 = $30
Step 2: Divide by the original: $30 / $120 = 0.25
Step 3: Multiply by 100: 0.25 × 100 = 25%
Your electricity bill increased by 25%.
Real-World Use Cases
Percentage increase calculations appear in many scenarios:
Salary and Income: When you receive a raise, you want to know the percentage increase. Going from $50,000 to $55,000 is a 10% increase. This helps you evaluate whether the raise keeps pace with inflation.
Investment Returns: Investors track percentage increase to measure portfolio performance. If a stock goes from $100 to $130, that is a 30% return on investment.
Price Comparisons: When prices rise, calculating the percentage increase helps you decide if the new price is reasonable. A product that increased from $40 to $50 went up by 25%.
Business Metrics: Companies use percentage increase to track revenue growth, customer acquisition, website traffic, and other key performance indicators over time.
Academic Grades: Students can calculate how much their test scores improved. Going from 72% to 85% is an 18.06% increase in your score.
Important Things to Note
When the original value is zero, percentage increase is undefined because division by zero is not possible. In such cases, describe the change as an absolute amount instead. Also remember that percentage increase only measures upward movement. If the value decreased, you would use the percentage decrease formula instead.
Our calculator handles all these cases instantly, giving you accurate results without manual calculations. Simply enter the original and new values, and the percentage increase is calculated in real time.
Frequently Asked Questions
Percentage increase measures how much a value has grown relative to its original value, expressed as a percentage. It tells you the rate at which a number has increased from one point to another.
Example: If a price goes from $50 to $75, the percentage increase is 50%.
The formula is: ((New Value - Original Value) / Original Value) × 100. You subtract the original from the new value, divide by the original value, then multiply by 100 to get the percentage.
Example: ((150 - 100) / 100) × 100 = 50% increase.
Percentage increase only measures upward movement (positive change), while percentage change can be either an increase or a decrease. Percentage increase is always a positive value when the new value is greater than the original.
Use percentage increase when you specifically want to measure growth or gains.
If you know the original value and want to find the new value after an increase, multiply the original by (1 + percentage/100). For example, a 20% increase on $100 means $100 × 1.20 = $120.
This is useful for calculating salary raises, price markups, and tax increases.
When the original value is zero, percentage increase is mathematically undefined because you cannot divide by zero. In such cases, the calculator will display 0% or indicate that the calculation is not possible.
In practical terms, any increase from zero is better described as an absolute amount rather than a percentage.