Percentage Change Calculator
Calculate the relative difference between two values. Use this to track stock market growth, price increases, or population shifts over time.
The Difference is
0%
Understanding the Formula
Percentage change is calculated by taking the difference between the new and old values, dividing it by the old value, and multiplying by 100. Mathematically, it looks like this:
$\text{Percentage Change} = \frac{\text{New} - \text{Original}}{\text{Original}} \times 100$
If the result is positive, it’s an increase. If it’s negative, it’s a decrease. This is the most accurate way to describe how much a quantity has grown or shrunk relative to its starting point.
Frequently Asked Questions
What if the original value is 0? +
Mathematically, if the starting value is 0, the percentage change is undefined because you cannot divide by zero. Any increase from zero is technically an "infinite" percent increase.
Change % vs. Percentage Points? +
These are different! If an interest rate goes from 10% to 15%, that is a 5 percentage point increase, but a 50% percentage change (since 5 is 50% of 10).
Can the change be more than 100%? +
Yes. If a value more than doubles, the change is greater than 100%. For example, going from 10 to 30 is a 200% increase. However, a decrease can never exceed 100% (which would mean the value became zero).
Is this useful for discounts? +
Absolutely. If an item was $100 and is now $80, you use this to find that it has a 20% discount (a 20% decrease).
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