The percentage increase calculator shows how much a value has changed relative to where it started. The same formula handles both increases and decreases — a positive result is a percent increase, a negative result is a percent decrease.
How to Use This Calculator
-
1
Enter the initial value — the number before the change.
-
2
Enter the final value — the number after the change.
-
3
Read the percentage change in the result panel.
-
4
A positive result means the value increased by that percentage. A negative result means it decreased.
How to Calculate Percent Increase
Percentage increase captures how much a value grew relative to its original amount. An increase of 5% means the value grew by 5 units for every 100 units it started with — so a value of 200 grew by 10, and a value of 1,000 grew by 50.
This relative framing is what makes percentage increase more useful than the raw difference. Knowing a company earned $1,000,000 more than last year says little on its own. If last year's profit was $1,000,000, that is a 100% increase. If last year's profit was $100,000,000, that is only a 1% increase. The relative change tells a very different story.
Percent Increase Formula
Divide the difference between the final and initial values by the absolute value of the initial value, then multiply by 100.
% change = 100 × (final − initial) ÷ |initial|
Worked Example
Suppose a $1,250 investment grew to $1,445 after one year. To find the percentage increase:
Step 1 — subtract: 1,445 − 1,250 = 195
Step 2 — divide: 195 ÷ 1,250 = 0.156
Step 3 — multiply: 0.156 × 100 = 15.6%
The investment increased by 15.6%.
Percent Increase Examples
| Initial value | Final value | Calculation | Result |
|---|---|---|---|
| 100 | 150 | (150 − 100) ÷ 100 × 100 | 50% increase |
| 200 | 180 | (180 − 200) ÷ 200 × 100 | 10% decrease |
| 1,250 | 1,445 | (1,445 − 1,250) ÷ 1,250 × 100 | 15.6% increase |
| 50 | 200 | (200 − 50) ÷ 50 × 100 | 300% increase |
| 80 | 80 | (80 − 80) ÷ 80 × 100 | 0% (no change) |
Calculating Percent Decrease
Use the same formula with the same steps. The sign of the result tells you the direction.
Example: an investment worth $1,445 fell to $1,300 the following year. Percent change = (1,300 − 1,445) ÷ 1,445 × 100 = −145 ÷ 1,445 × 100 ≈ −10.03%. The value decreased by about 10%.
Real-Life Applications
Inflation rate measures how much prices of goods and services have risen compared to the same period the previous year.
Salary growth rate shows how much wages increased from one year to the next. When it exceeds the inflation rate, workers have more real purchasing power.
Population growth rate tracks how quickly the number of people in a region is growing relative to the existing population.
Investment returns express how much a portfolio grew or shrank as a percentage of the original investment amount.
How to Add a Percentage Increase to a Number
| Step | Action | Example (adding 20% to 150) |
|---|---|---|
| 1 | Divide the original number by 100 | 150 ÷ 100 = 1.5 |
| 2 | Multiply by the desired percentage | 1.5 × 20 = 30 |
| 3 | Add the result to the original number | 150 + 30 = 180 |
Percentage Increase vs. Percentage Point Change
These two are easy to confuse. Suppose an interest rate rises from 2% to 3%:
- Percentage point change: 3 − 2 = 1 percentage point (an absolute arithmetic difference)
- Percentage increase: (3 − 2) ÷ 2 × 100 = 50% (the rate itself grew by 50%)
The percentage increase always compares the change to the original value. A percentage point change is just the subtraction of two percentages.
The percentage increase calculator finds how much a value has grown or shrunk relative to its original amount. Enter the initial and final values to get the percent change — positive for an increase, negative for a decrease.