The Percentage Change Calculator helps determine the relative change between two values, allowing you to express that change as a percentage increase or decrease. It is used to measure how much a number has grown or shrunk in comparison to its original value.
This calculator comes in handy when you have an "initial" value and a "final" value, such as going from 10 apples to 20 apples. In this case, the increase would be 100%. Positive values indicate an increase, while negative values represent a decrease.
When the order of numbers matters (for example, comparing an "old" value with a "new" value), this is the correct tool. However, if you're just comparing two values without focusing on whether one is the starting or ending value, the Percentage Difference Calculator might be a better choice.
To calculate percentage change, you need to find the difference between the new value and the original value, then divide it by the absolute value of the original value. The result is then multiplied by 100 to get the percentage change.
The formula for calculating percentage change is:
\( \text{Percentage Change} = \frac{\Delta V}{|V_1|} \times 100 = \frac{V_2 - V_1}{|V_1|} \times 100 \)
If the original value (V1) is 7 and the new value (V2) is 2.625, you can calculate the percentage change as follows:
\( \text{Percentage Change} = \frac{2.625 - 7}{|7|} \times 100 = \frac{-4.375}{7} \times 100 = -62.5\% \) change = 62.5% decrease
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