Formula
\text{Percentage Increase} = \frac{\text{New Value} - \text{Original Value}}{\text{Original Value}} \times 100\%Used to calculate: The percentage by which a value has increased relative to its original value.
—
What Is the Percentage Increase Formula?
The percentage increase formula measures how much a value has grown compared with its original value. It expresses the increase as a percentage of the original value.
—
Formula and Variables
\text{Percentage Increase} = \frac{N - O}{O} \times 100\%| Symbol | Meaning | Unit |
| N | New or final value | Depends on the problem |
| O | Original or initial value | Depends on the problem |
| Percentage Increase | Increase relative to the original value | Percent (%) |
—
How to Use the Formula
Identify the original value and the new value. Subtract the original value from the new value to find the increase. Divide the increase by the original value, then multiply by 100 to express the result as a percentage.
—
When Is This Formula Used?
The percentage increase formula is used when a quantity becomes larger and the size of the increase needs to be expressed relative to its original value.
Common uses:
– Measuring increases in prices or costs
– Calculating growth in financial or statistical data
– Comparing increases in measurements or quantities
—
Important Notes
– A percentage increase measures the increase relative to the original value.
– The original value cannot be zero because division by zero is undefined.
– The original and new values should use the same units before applying the formula.
– A common point of confusion is dividing the increase by the new value instead of the original value.
—
Alternate Forms
Alternate form:
N = O\left(1 + \frac{p}{100}\right)Alternate form:
O = \frac{N}{1 + \frac{p}{100}}—
Related Formulas