Key takeaways
- Understanding percentage growth
- What Is Percentage Increase?
- Percentage Increase Formula
- How to Calculate Percentage Increase Step by Step
To calculate percentage increase, subtract the original value from the new value, divide the difference by the original value, and multiply by 100. Percentage increase = [(New value − Original value) ÷ Original value] × 100. For example, a price rising from $80 to $100 increases by 25%. The original value must be positive for an ordinary growth comparison.
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Understanding percentage growth
Knowing how to calculate percentage increase is useful in everyday life, business, education, and finance. Whether you want to measure a salary raise, compare product prices, track website traffic, or analyze business growth, percentage increase helps you understand how much a value has grown relative to its starting point.
For example, if the price of a product rises from $80 to $100, the increase is $20. But how much is that increase as a percentage?
The answer is 25%.
In this guide, you will learn the percentage increase formula, how to calculate it step by step, practical examples, common mistakes, and how to calculate percentage increase using Excel or Google Sheets.
What Is Percentage Increase?
Percentage increase measures how much a value has grown compared with its original value, expressed as a percentage.
It is commonly used to compare two numbers and understand the relative amount of growth.
For example:
In each situation, percentage increase helps explain the size of the change relative to the original number.
Unlike absolute change, which tells you how many units were added, percentage increase provides a relative measurement.
- A product price increases from $50 to $60.
- A monthly salary rises from $3,000 to $3,300.
- Website visitors increase from 1,000 to 1,500.
- A business grows its monthly sales from 200 to 250 orders.
Percentage Increase Formula
The standard formula is:
Percentage Increase = [(New Value − Original Value) ÷ Original Value] × 100
Where:
For ordinary growth calculations, the original value should be greater than zero.
- Original Value: The starting amount before the increase.
- New Value: The final amount after the increase.
- New Value − Original Value: The difference between the two amounts.
Simple Percentage Increase Example
Suppose the original price of a product is $200 and its new price is $250.
First, calculate the difference:
$250 − $200 = $50
Next, divide the increase by the original price:
$50 ÷ $200 = 0.25
Finally, multiply by 100:
0.25 × 100 = 25%
Result: The price increased by 25%.
This means the product now costs 25% more than its original price.
How to Calculate Percentage Increase Step by Step
You can calculate percentage increase manually in four simple steps.
Step 1: Identify the Original Value
Start by finding the original amount.
For example, suppose your website received 2,000 visitors last month.
Your original value is 2,000.
Step 2: Identify the New Value
Next, determine the updated amount.
Suppose your website received 2,800 visitors this month.
Your new value is 2,800.
Step 3: Calculate the Difference
Subtract the original amount from the new amount.
2,800 − 2,000 = 800
Your website received 800 additional visitors.
Step 4: Convert the Increase into a Percentage
Divide the increase by the original value and multiply by 100.
(800 ÷ 2,000) × 100 = 40%
Your website traffic increased by 40%.
This calculation can help you track performance across different periods, provided the periods and measurement methods are comparable.
Practical Percentage Increase Examples
Here are several real-world examples of how to find percentage increase.
Example 1: Calculate Salary Increase Percentage
Suppose your monthly salary increases from $2,500 to $3,000.
Percentage Increase = [(3,000 − 2,500) ÷ 2,500] × 100
= (500 ÷ 2,500) × 100
= 20%
Your salary increased by 20%.
This method is useful when comparing salary raises, bonuses, and changes in regular earnings.
Example 2: Calculate Price Increase Percentage
A product originally costs $120, but its new price is $150.
Percentage Increase = [(150 − 120) ÷ 120] × 100
= (30 ÷ 120) × 100
= 25%
The product price increased by 25%.
Retailers and consumers can use this formula to understand price changes.
Example 3: Calculate Sales Growth Percentage
A business sells 400 products in January and 550 products in February.
Percentage Increase = [(550 − 400) ÷ 400] × 100
= (150 ÷ 400) × 100
= 37.5%
The business experienced a 37.5% increase in units sold.
Remember that an increase in units sold does not necessarily mean revenue or profit increased by the same percentage.
Example 4: Calculate Website Traffic Growth
Suppose a blog receives 5,000 monthly visits and later reaches 7,500 visits.
Percentage Increase = [(7,500 − 5,000) ÷ 5,000] × 100
= (2,500 ÷ 5,000) × 100
= 50%
The website experienced a 50% increase in monthly visits.
Website owners can use this calculation to evaluate changes in traffic from search engines, social media, and other channels.
Example 5: Calculate Population Increase
A town's population grows from 20,000 to 23,000 people.
Percentage Increase = [(23,000 − 20,000) ÷ 20,000] × 100
= (3,000 ÷ 20,000) × 100
= 15%
The population increased by 15%.
Percentage Increase Examples Table
The following table provides quick examples of common percentage changes.
You can apply the same formula to prices, salaries, sales, traffic, and other measurable quantities.
| Original Value | New Value | Percentage Increase |
|---|---|---|
| 100 | 110 | 10% |
| 200 | 250 | 25% |
| 500 | 600 | 20% |
| 1,000 | 1,500 | 50% |
| 2,000 | 2,400 | 20% |
| 5,000 | 6,250 | 25% |
| 10,000 | 12,000 | 20% |
How to Calculate Percentage Increase in Excel
Microsoft Excel makes percentage calculations easy, especially when working with larger datasets.
Suppose your worksheet contains:
Enter the following formula in C2:
=(B2-A2)/A2
Then format cell C2 as a percentage.
Excel will display 25%.
Alternatively, you can use:
=((B2-A2)/A2)*100
This returns the number 25. If you use this version, do not also apply percentage formatting, because that would display 2,500%.
The first approach is usually more convenient for a spreadsheet.
- Cell A2: Original value of 200
- Cell B2: New value of 250
Calculate Percentage Increase in Google Sheets
Google Sheets uses the same formula:
=(B2-A2)/A2
Enter the formula into your worksheet, select the result cell, and apply percentage formatting.
You can copy the formula down a column to calculate percentage changes for multiple products, months, or employees.
How to Calculate a New Value After a Percentage Increase
Sometimes you already know the percentage increase and want to calculate the new amount.
Use this formula:
New Value = Original Value × (1 + Percentage Increase ÷ 100)
For example, suppose you have a salary of $4,000 and receive a 15% raise.
New Salary = 4,000 × (1 + 15 ÷ 100)
= 4,000 × 1.15
= $4,600
Your new salary will be $4,600.
This method is useful for estimating new prices, salaries, budgets, and projected quantities.
Percentage Increase vs. Percentage Decrease
Percentage increase describes growth, while percentage decrease describes a reduction.
Both calculations compare the change with the original value.
Suppose a product price falls from $100 to $80.
Percentage Decrease = [(100 − 80) ÷ 100] × 100
= 20%
The price decreased by 20%.
An important distinction is that reversing this decrease requires a different percentage.
To increase $80 back to $100:
[(100 − 80) ÷ 80] × 100 = 25%
A 20% decrease followed by a 20% increase does not return a number to its original value.
Percentage Increase vs. Percentage Points
These concepts are different and should not be confused.
Suppose a website's conversion rate increases from 5% to 8%.
The increase in percentage points is:
8% − 5% = 3 percentage points.
However, the relative percentage increase is:
[(8 − 5) ÷ 5] × 100 = 60%.
The conversion rate increased by 3 percentage points, equivalent to a 60% relative increase.
This distinction matters when discussing interest rates, conversion rates, survey results, and other values already expressed as percentages.
Common Mistakes When Calculating Percentage Increase
Dividing by the New Value
The most common mistake is dividing the difference by the new value instead of the original value.
For example, if a price increases from $100 to $125, the correct calculation is:
(25 ÷ 100) × 100 = 25%.
Dividing by $125 would produce 20%, which answers a different question.
Forgetting to Multiply by 100
The formula produces a decimal before conversion into a percentage.
For example, 0.30 represents 30%, not 0.30%.
Using Zero as the Starting Value
If the original value is zero, the standard percentage increase formula is undefined because division by zero is not possible.
For example, an increase from zero sales to 100 sales cannot be expressed as an ordinary percentage increase using this formula.
In that case, describe the absolute change instead.
Applying the Formula to Negative Starting Values Without Context
When the original value is negative, percentage-change calculations require care.
For example, a business moving from a $100 loss to a $50 loss has improved its position, but the standard growth formula can be misleading if applied without considering the meaning of the negative numbers.
For financial losses and other signed values, explain the absolute change and clearly define any percentage convention you use.
Why Percentage Increase Matters
Percentage increase is useful because it helps compare changes across different starting amounts.
For example, one business might gain 500 customers while another gains 100 customers.
If the first business originally had 10,000 customers, its growth rate is 5%.
If the second business originally had 200 customers, its growth rate is 50%.
Although the first business gained more customers in absolute terms, the second experienced higher relative growth.
Understanding this difference improves reporting, planning, and performance comparisons.
However, percentage growth alone does not explain whether a change is profitable, sustainable, or statistically meaningful. The underlying numbers and circumstances still matter.
Frequently Asked Questions
What is the easiest way to calculate percentage increase?
Subtract the original value from the new value, divide by the original value, and multiply by 100.
How do you calculate a 10% increase?
Multiply the original value by 1.10. For example, increasing $200 by 10% gives $220.
How do you calculate a 50% increase?
Multiply the original amount by 1.50. For example, a 50% increase on $100 results in $150.
How do you calculate percentage increase between two numbers?
Use the formula:
Percentage Increase = [(New Number − Original Number) ÷ Original Number] × 100.
The original number must be nonzero, and ordinary growth calculations generally assume a positive starting value.
How do I calculate percentage increase without a calculator?
Find the difference between the two amounts, divide it by the original amount, and convert the result into a percentage. For easy numbers, you can also calculate 10% or 1% of the starting value and use those amounts to estimate the change.
Is percentage increase the same as growth rate?
For a simple comparison between two values over one period, percentage increase can represent the growth rate. However, annualized growth rates and compound annual growth rates involve additional calculations.
Conclusion
Learning how to calculate percentage increase makes it easier to evaluate financial changes, monitor business performance, compare prices, and measure growth.
The most important formula to remember is:
Percentage Increase = [(New Value − Original Value) ÷ Original Value] × 100
By identifying the correct original value and applying the formula consistently, you can calculate percentage increases accurately.
For repeated calculations, Excel, Google Sheets, or an interactive percentage increase calculator can save time and reduce manual errors.
Whether you are tracking personal finances or analyzing business data, understanding percentage increase helps turn raw numbers into meaningful comparisons.
Sources and further reading
Examples are hypothetical unless explicitly stated. Verify current rules and contract terms for your situation. Read the full disclaimer.
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