Percentage Increase Calculator
Calculate the result of increasing a value by a given percentage. Find the new value, increase amount, and multiplication factor. See also Percentage Decrease Calculator and Percentage Calculator.
What Is Percentage Increase?
A percentage increase calculates how much a value grows when increased by a given percentage. It is used in salary raises, investment returns, price increases, population growth, and many other real-world scenarios. The calculation multiplies the original value by the percentage (as a decimal) and adds the result to the original.
Percentage Increase Formula
New Value = Original Value x (1 + Percentage / 100)
Increase Amount = Original Value x (Percentage / 100)
Multiplication Factor = 1 + Percentage / 100
Reverse (find % increase):
Percentage Increase = ((New - Original) / |Original|) x 100
Compound increase (N periods):
Final Value = Original x (1 + Percentage / 100)^N
Example Calculation
Original Value = 200, Percentage Increase = 15%
Increase Amount = 200 x (15/100) = 200 x 0.15 = 30
New Value = 200 + 30 = 230
Result: 230 (multiplication factor: x1.15)
Understanding Compound Growth
When the same percentage increase is applied repeatedly (compounding), the growth is exponential, not linear. Each period's increase is calculated on the new, larger value — not the original. This is why compound interest, population growth, and inflation can produce surprisingly large numbers over time.
$1,000 at 5% increase per year for 10 years:
Linear (simple): $1,000 + ($50 x 10) = $1,500
Compound: $1,000 x (1.05)^10 = $1,628.89
Compound growth adds $128.89 more than simple growth
Real-World Applications
- Salary raises: A 5% raise on a $60,000 salary adds $3,000, making it $63,000.
- Investment returns: A 7% annual return on $10,000 yields $700 in the first year.
- Inflation: 3% inflation means something costing $100 today will cost $103 next year.
- Population growth: A city growing at 2% per year doubles in about 35 years.
- Price increases: A 10% price increase on a $50 item makes it $55.
Common Percentage Increases Reference Table
| Original | % Increase | New Value | Context |
|---|---|---|---|
| $50,000 | 3% | $51,500 | Cost-of-living raise |
| $50,000 | 5% | $52,500 | Merit raise |
| $50,000 | 10% | $55,000 | Promotion raise |
| $50,000 | 20% | $60,000 | Job change raise |
| $100 | 5% | $105 | Moderate inflation |
| $100 | 10% | $110 | High inflation |
| $10,000 | 7% | $10,700 | Stock market return |
| $10,000 | 12% | $11,200 | Strong market year |
| $250,000 | 5% | $262,500 | Home appreciation |
| $250,000 | 15% | $287,500 | Hot housing market |
How to Calculate Percentage Increase Step by Step
- Start with the original value (the value before the increase).
- Convert the percentage to a decimal by dividing by 100 (e.g., 15% = 0.15).
- Multiply the original value by the decimal to find the increase amount.
- Add the increase amount to the original value to get the new value.
- Alternatively, multiply the original by (1 + percentage/100) in one step.
Frequently Asked Questions
What is the multiplication factor?
The multiplication factor is 1 + (percentage/100). For a 15% increase, the factor is 1.15. You can multiply any value by this factor to apply the same percentage increase. It is useful for quick mental math and spreadsheet formulas.
How is compound increase different from simple increase?
Simple increase applies the percentage to the original value each time. Compound increase applies it to the current (growing) value. Over multiple periods, compound growth produces significantly larger results because each period's growth builds on previous growth.
Can a percentage increase be more than 100%?
Yes. A 100% increase doubles the value. A 200% increase triples it. A 500% increase makes it 6 times the original. There is no upper limit to percentage increases.
How long does it take to double at a given growth rate?
Use the Rule of 72: divide 72 by the growth rate percentage. At 6% growth, it takes approximately 72/6 = 12 periods to double. At 10%, about 7.2 periods. This is an approximation that works well for rates between 2% and 15%.
If something increases by 50% then decreases by 50%, do I get back to the original?
No. A 50% increase on 100 gives 150. A 50% decrease on 150 gives 75 — not 100. This asymmetry exists because the decrease is applied to the larger number. You would need a 33.33% decrease to return to the original after a 50% increase.
What is the difference between percentage increase and percentage points?
If an interest rate goes from 5% to 7%, that is a 2 percentage point increase but a 40% percentage increase (because 2/5 x 100 = 40%). Percentage points measure the absolute difference between two percentages, while percentage increase measures the relative change.
How do I calculate percentage increase in a spreadsheet?
In Excel or Google Sheets, use: =Original*(1+Percentage/100) for the new value, or =(New-Original)/Original*100 to find the percentage increase. For compound growth: =Original*(1+Rate/100)^Periods.