Percentages
Applying an increase
The multiplier form. A rise of 25.00% means multiplying by 1.25, and chained rises multiply rather than add.
The Formula
New = Original x (1 + p)
The multiplier form. A rise of 25.00% means multiplying by 1.25, and chained rises multiply rather than add.
| Symbol | Meaning | Unit | Notes |
|---|---|---|---|
| p | Increase written as a decimal | decimal | 25.00% enters as 0.25, not as 25. The factor is 1 + p, which is 1.25 here. |
| Vn | Value after the increase | number | 80 multiplied by 1.25 gives exactly 100. |
| V0 | Value before the increase | number | The base the percentage acts on. |
What Each Symbol Means
pdecimal
Increase written as a decimal
25.00% enters as 0.25, not as 25. The factor is 1 + p, which is 1.25 here.
Vnnumber
Value after the increase
80 multiplied by 1.25 gives exactly 100.
V0number
Value before the increase
The base the percentage acts on.
See It Worked With Real Numbers
A formula on its own does not tell you which number goes where. The how to calculate percent increase page applies this equation to a concrete case, shows every intermediate step, and names the mistakes that produce a wrong answer even when the algebra is right.
Where This Formula Appears
This equation is the working core of How To Calculate Percent Increase, filed under Math. Every number the guide produces comes from substituting into this one line.