Percentage Change Calculator
Percentage Change Calculator
A positive result indicates an increase; a negative result indicates a decrease. The original value must not be zero.
Enter your values
Enter values and select Calculate.
How to Use the Percentage Change Calculator
Use this free Percentage Change Calculator to measure how much a value has increased or decreased compared with its original value. Enter the original value and the new value to calculate the percentage change. A positive result represents an increase, while a negative result represents a decrease.
- Enter the starting amount in the Original value field.
- Enter the updated amount in the New value field.
- Select Calculate to display the percentage change.
- Use Clear to remove the values and perform another calculation.
- Compare the result with the original and new values before interpreting it.
The original value cannot be zero because percentage change uses the original value as its reference point.
What Is Percentage Change?
Percentage change describes the relative difference between an original value and a new value. It expresses that difference as a percentage of the absolute original value. This makes it easier to compare changes across values that may have different scales. The sign of the result shows the direction: positive for an increase and negative for a decrease.
Percentage Change Formula
Percentage change = ((New value − Original value) ÷ |Original value|) × 100%
Subtract the original value from the new value, divide the difference by the absolute original value, and multiply by 100.
Worked Examples
Example 1: Percentage increase
An amount changes from 80 to 100.
Change = 100 − 80 = 20.
Percentage change = (20 ÷ 80) × 100 = 25%.
Result: a 25% increase.
Example 2: Percentage decrease
An amount changes from 200 to 150.
Change = 150 − 200 = −50.
Percentage change = (−50 ÷ 200) × 100 = −25%.
Result: a 25% decrease.
Example 3: No change
An amount changes from 45 to 45.
Change = 45 − 45 = 0.
Percentage change = (0 ÷ 45) × 100 = 0%.
Result: no percentage change.
Percentage Change vs Percentage Difference
Percentage change compares a new value with a specific original or starting value, so the original value is the reference point. Percentage difference is commonly used to compare two values when neither is designated as the starting value; it typically uses the average of the two values as its reference. Choose the method that matches the question being answered.
Practical Uses of Percentage Change
- Finance: reviewing changes in expenses, savings, sales, and investment values.
- Business: comparing monthly revenue, customer counts, and performance measures.
- Shopping: checking how prices have changed over time.
- Education: solving mathematics questions involving increases and decreases.
- Data analysis: describing changes in measurements, survey results, and other numeric data.
Frequently Asked Questions
1. How do I calculate percentage change?
Subtract the original value from the new value, divide by the absolute original value, and multiply by 100. The result can be positive, negative, or zero.
2. What does a positive percentage change mean?
A positive percentage change means the new value is greater than the original value, so the value has increased.
3. What does a negative percentage change mean?
A negative percentage change means the new value is less than the original value, so the value has decreased.
4. Can percentage change be zero?
Yes. If the original and new values are the same, the difference is zero and the percentage change is 0%.
5. Why can't the original value be zero?
The formula divides by the absolute original value. Division by zero is undefined, so percentage change cannot be calculated when the original value is zero.
6. Can percentage change exceed 100%?
Yes. If the new value is more than twice the original positive value, the increase is greater than 100%.
7. Is percentage change the same as percentage difference?
No. Percentage change uses a designated original value as the reference. Percentage difference generally compares two values using their average as the reference.
8. How do I calculate percentage decrease?
Use the same formula. When the new value is lower than the original value, the result is negative; the magnitude indicates the percentage decrease.
9. Can I calculate percentage change for decimal values?
Yes. The calculator accepts decimal values. Enter both values in the same unit and make sure the original value is not zero.
10. Is this Percentage Change Calculator free?
Yes. This calculator is available to use on the SRIKAMI website without a fee.
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