Percentage Increase Calculator
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Percentage Increase Calculator
A Percentage Increase Calculator calculates how much a value has increased relative to its original value. Enter the original value and the new value to find the percentage increase instantly.
The calculator uses the standard percentage increase formula:
Percentage Increase = ((New Value − Original Value) ÷ Original Value) × 100
For example, if a value increases from 100 to 190, the increase is 90, and the percentage increase is 90%.
How to Calculate Percentage Increase
Percentage increase compares the change in a value with its original value. Follow these three steps:
1. Find the increase
Subtract the original value from the new value:
New Value − Original Value = Increase
Example:
190 − 100 = 90
2. Divide the increase by the original value
90 ÷ 100 = 0.90
3. Multiply by 100
0.90 × 100 = 90%
Therefore, the percentage increase is 90%.
Percentage Increase Formula
The standard formula is:
Percentage Increase = ((New Value − Original Value) / Original Value) × 100
Where:
- Original Value is the starting amount or baseline.
- New Value is the amount after the change.
- Increase is the difference between the new and original values.
- Percentage Increase expresses that change as a percentage of the original value.
The original value is the denominator because percentage increase measures the change relative to the starting value.
Percentage Increase Examples
Example 1: Price Increase
A product's price increases from ₹500 to ₹650.
Increase:
₹650 − ₹500 = ₹150
Percentage increase:
(₹150 ÷ ₹500) × 100 = 30%
The price increased by 30%.
Example 2: Website Traffic
A website receives 10,000 visitors in one month and 13,000 visitors the following month.
Increase:
13,000 − 10,000 = 3,000
Percentage increase:
(3,000 ÷ 10,000) × 100 = 30%
Organic or overall website traffic increased by 30%.
Example 3: Sales Growth
Monthly sales increase from ₹80,000 to ₹100,000.
Increase:
₹100,000 − ₹80,000 = ₹20,000
Percentage increase:
(₹20,000 ÷ ₹80,000) × 100 = 25%
Sales increased by 25%.
Percentage Increase vs. Percentage Difference
These terms are related but are not always interchangeable.
Percentage increase measures an upward change relative to a specified original value:
(New Value − Original Value) ÷ Original Value × 100
A percentage difference is commonly used when comparing two values without designating one as the original or baseline. Its formula uses the absolute difference divided by the average of the two values:
|Value 1 − Value 2| ÷ ((Value 1 + Value 2) ÷ 2) × 100
For measuring growth from one period to another, percentage increase is generally the appropriate calculation.
Percentage Increase vs. Percentage Points
A percentage increase and a percentage-point increase describe different things.
Suppose a conversion rate increases from 10% to 15%.
- Percentage-point increase: 15% − 10% = 5 percentage points
- Relative percentage increase: (5 ÷ 10) × 100 = 50%
So a change from 10% to 15% is a 5 percentage-point increase, but it represents a 50% relative increase.
This distinction is particularly important when analyzing conversion rates, interest rates, percentages, and other rate-based metrics.
When to Use a Percentage Increase Calculator
A percentage increase calculator can be useful for comparing changes in:
- Prices and costs
- Revenue and sales
- Website traffic
- Conversions and leads
- Investments and financial values
- Population figures
- Test scores
- Business performance
- Monthly or yearly metrics
- Marketing and advertising results
- Product prices and discounts
- Production and operational data
It is especially useful when the two numbers are known but calculating the relative growth manually would be inconvenient.
Frequently Asked Questions
What is the formula for percentage increase?
The formula is:
Percentage Increase = ((New Value − Original Value) ÷ Original Value) × 100
How do I calculate a 20% increase?
Multiply the original value by 1.20.
For example, a 20% increase on 500 is:
500 × 1.20 = 600
The new value is 600.
What is the percentage increase from 50 to 75?
The increase is:
75 − 50 = 25
Then:
(25 ÷ 50) × 100 = 50%
So the percentage increase is 50%.
Can the calculator calculate a decrease?
The standard percentage change formula can calculate both increases and decreases. However, this calculator is specifically designed to report an increase, so the new value should be greater than or equal to the original value.
For a decrease, use:
Percentage Decrease = ((Original Value − New Value) ÷ Original Value) × 100
Why is the original value used in the formula?
The original value represents the baseline against which the change is measured. Using the original value as the denominator makes the result a relative change from the starting point.
Can percentage increase be greater than 100%?
Yes. If the new value is more than twice the original value, the percentage increase exceeds 100%.
For example, an increase from 100 to 250 is:
(150 ÷ 100) × 100 = 150%
The value increased by 150%.
