Percentage Increase Calculator
Calculate the percentage increase from an old value to a new value, or add a known percentage increase to any number.
Percentage Increase Between Two Values
Find the percent growth from an old value to a new value.
Add a Percentage Increase to a Number
Increase a value by a known percentage, such as adding 15% to 100.
What is Percentage Increase?
Percentage increase shows how much a value has grown compared with its original value. To calculate it, subtract the original value from the new value, divide the increase by the original value, and multiply by 100. For example, if a price rises from 40 to 50, the increase is 10, and (10 ÷ 40) × 100 = 25%.
How to Calculate Percentage Increase
Use this calculator when you want to know how much a number has grown from one value to another. It is useful for price changes, salary raises, business growth, investment gains, population changes, website traffic growth, and other before-and-after comparisons.
Percentage Increase Formula
To calculate percentage increase, use this formula:
Percentage Increase = ((New Value - Original Value) / Original Value) × 100
First find the increase amount by subtracting the original value from the new value. Then divide that increase by the original value and multiply by 100.
This calculator is intended for general math use and shows the formula so you can verify the result yourself.
Step-by-Step Calculation Guide
- Subtract the original value from the new value to find the increase amount.
- Divide the increase amount by the original value.
- Multiply the result by 100 to convert it into a percentage.
Example: Increase from 40 to 50
If a value increases from 40 to 50, the increase amount is 10.
((50 - 40) / 40) × 100 = 25%
So, the percentage increase from 40 to 50 is 25%.
Common Percentage Increase Examples
Here are some common old-value to new-value examples people often calculate for prices, salaries, business numbers, and school math.
| Question | Calculation | Answer |
|---|---|---|
| Increase from 40 to 50 | (10 ÷ 40) × 100 | 25% |
| Increase from 100 to 185 | (85 ÷ 100) × 100 | 85% |
| Increase from 3,000 to 3,450 | (450 ÷ 3,000) × 100 | 15% |
| Increase from 50 to 75 | (25 ÷ 50) × 100 | 50% |
| Increase from 10 to 20 | (10 ÷ 10) × 100 | 100% |
Detailed Example Calculations
- Increase from 40 to 50: The difference is 10. Divide 10 by 40 to get 0.25. Formula: 10 ÷ 40 = 0.25, then 0.25 × 100 = 25%.
- Increase from 100 to 185: The difference is 85. Divide 85 by 100 to get 0.85. Formula: 85 ÷ 100 = 0.85, then 0.85 × 100 = 85%.
- Increase from 3,000 to 3,450 (Salary Raise): The difference is $450. Divide $450 by $3,000 to get 0.15. Formula: 450 ÷ 3000 = 0.15, then 0.15 × 100 = 15% raise.
Adding a Percentage Increase to a Number
Sometimes you already know the percentage increase and simply want the new value. For example, adding 15% to 100 gives 115. In that case, use this formula:
New Value = Original Value × (1 + Percentage Increase / 100)
For example, increasing 100 by 15% is 100 × 1.15 = 115.
When to Use This Calculator
- Shopping and prices: Find how much a price increased after a rate change.
- Salary and income: Calculate the percentage raise from an old salary to a new salary.
- Business growth: Measure revenue, profit, leads, or traffic growth over time.
- Investments: Estimate percentage gain from an original value to a higher value.
- School math: Check percentage increase homework and examples step by step.
Important Note About Zero
Percentage increase cannot be calculated when the original value is zero because the formula requires dividing by the original value. If a value grows from 0 to another number, you can describe it as a new gain, but not as a standard percentage increase.
Last updated: June 2026
Frequently Asked Questions
Subtract the original value from the new value, divide the difference by the original value, and multiply by 100. For example, from 40 to 50: (10 ÷ 40) × 100 = 25%.
The formula is: Percentage Increase = ((New Value - Original Value) ÷ Original Value) × 100.
The increase is 85. Divide 85 by 100 and multiply by 100, which gives an 85% increase.
A 100% increase means the value doubled. For example, increasing from 10 to 20 is a 100% increase.
Yes. If a value more than doubles, the percentage increase is greater than 100%. For example, increasing from 10 to 30 is a 200% increase.
No. Percentage increase compares an old value with a higher new value. Percentage difference compares two values without treating one as the starting point.
The formula divides by the original value. If the original value is zero, the calculation involves division by zero, so a standard percentage increase is undefined.