Percentage Increase Calculator

Q: What is the formula for percentage increase?

The formula is Percentage Increase = ((Final Value - Initial Value) / Initial Value) × 100. The initial value is the denominator because the increase is measured relative to the starting number.

Q: How do I calculate percentage increase in Excel or Google Sheets?

Use the formula =(B2-A2)/A2, where A2 is the initial value and B2 is the final value. Format the result as a percentage, or multiply by 100 if you want a plain number.

Q: How do I find the final value after a percentage increase?

Use Final Value = Initial Value × (1 + Percentage/100). For example, 200 increased by 15% is 200 × 1.15 = 230.

Use this percentage increase calculator to find how much a value grew from an old number to a new number. Enter the starting value and ending value to get the increase amount, percentage increase, and formula used. You can also calculate percentage decrease or find the final value after applying a percentage increase.

Calculate Percentage Increase Online

Calculate Percentage Increase Between Two Numbers

Initial Value (Starting Number)

Example: 100

Final Value (Ending Number)

Example: 125

Percentage Increase Formula

The percentage increase formula compares the change between an initial value and a final value against the initial value. It is useful when you need to measure growth in price, revenue, traffic, salary, marks, population, or any other measurable number.

Percentage Increase Formula:

$ \text{Percentage Increase} = \frac{\text{Final Value} - \text{Initial Value}}{\text{Initial Value}} \times 100 $

Alternative notation:

$ \text{Percentage Increase} = \frac{\Delta V}{V_0} \times 100 $

Where:

Final Value = the new or ending value
Initial Value $ (V_0) $ = the original or starting value
$ \Delta V $ = change in value, calculated as final value minus initial value

Key point: A positive answer means the value increased. A negative answer means the value decreased. If the starting value is zero, percentage change is undefined because the formula would require division by zero.

How to Calculate Percentage Increase

Identify the initial value: This is the old, original, or starting number.
Identify the final value: This is the new or ending number.
Find the change: Subtract the initial value from the final value.
Divide by the initial value: This shows the relative change compared with the starting number.
Multiply by 100: Convert the decimal result into a percentage.

Percentage Increase Calculation Examples

Example 1: Salary Increase

Your salary increased from ₹50,000 to ₹60,000. What is the percentage increase?

Initial Value = ₹50,000
Final Value = ₹60,000
Difference = 60,000 - 50,000 = ₹10,000
Calculation: $ \frac{10,000}{50,000} \times 100 = 20\% $
Answer: 20% salary increase

Example 2: Business Revenue Growth

Revenue grew from $250,000 to $325,000. Calculate the percentage increase:

Initial Value = $250,000
Final Value = $325,000
Difference = 325,000 - 250,000 = $75,000
Calculation: $ \frac{75,000}{250,000} \times 100 = 30\% $
Answer: 30% revenue growth

Example 3: Website Traffic Increase

Monthly visitors increased from 12,500 to 17,000:

Initial Value = 12,500 visitors
Final Value = 17,000 visitors
Difference = 17,000 - 12,500 = 4,500
Calculation: $ \frac{4,500}{12,500} \times 100 = 36\% $
Answer: 36% traffic increase

Common Uses of Percentage Increase

Percentage increase is used whenever the size of a change matters more than the raw difference. For example, a gain of 100 visitors means something different on a page with 200 visits than it does on a page with 200,000 visits.

Financial Uses

Investment returns: Compare portfolio value before and after a time period.
Salary raises: Measure the percentage size of a salary increase.
Price changes: Understand how much a product, service, or bill increased.
Revenue growth: Compare business performance between two periods.

Business and Marketing Uses

Sales growth: Compare sales totals before and after a campaign.
Customer growth: Track user, subscriber, or customer increases.
Website analytics: Measure changes in impressions, clicks, conversions, or traffic.
Productivity metrics: Calculate output gains or efficiency improvements.

Personal and Academic Uses

Test scores: Compare marks from one exam to the next.
Fitness progress: Track performance, weight, distance, or strength changes.
Savings growth: Measure how much a balance increased over time.
Population statistics: Compare changes between two counts.

Percentage Increase vs Percentage Point Increase

Percentage increase and percentage point increase are not the same. Percentage increase measures relative growth. Percentage points measure the simple difference between two percentages.

Difference between percentage increase and percentage point increase
Aspect	Percentage Increase	Percentage Point Increase
Meaning	Relative change compared with the original value	Simple difference between two percentages
Formula	$ \frac{\text{Change}}{\text{Original}} \times 100 $	New percentage - old percentage
Example	5% to 10% = 100% increase	5% to 10% = 5 percentage points
Best Use	Showing relative growth	Reporting movement between percentage rates

Example: If an interest rate increases from 2% to 3%, the change is 1 percentage point. The percentage increase is $ \frac{1}{2} \times 100 = 50\% $. Both statements can be correct, but they answer different questions.

Reverse Percentage Increase: Find the Final Value

When you know the initial value and the percentage increase, use the reverse calculator to find the final value. This is useful for price increases, salary raises, forecasted growth, and target planning.

Final Value Formula:

$ \text{Final Value} = \text{Initial Value} \times \left(1 + \frac{\text{Percentage}}{100}\right) $

Example: A product costs ₹1,000 and increases by 15%:

$ \text{Final Price} = 1000 \times \left(1 + \frac{15}{100}\right) = 1000 \times 1.15 = ₹1,150 $

Common Percentage Increase Mistakes

Using the final value as the denominator: Divide by the initial value, not the final value.
Forgetting to multiply by 100: Decimal change must be converted into a percentage.
Confusing increase with decrease: A negative result means the final value is lower than the initial value.
Mixing percentages and percentage points: Use percentage points only when comparing two percentage rates.
Rounding too early: Keep precision during the calculation and round only the final answer.

Quick Reference Table

Common percentage increase examples
Initial Value	Final Value	Increase Amount	Percentage Increase
100	120	20	20%
500	650	150	30%
1,000	1,500	500	50%
5,000	6,000	1,000	20%
10,000	12,500	2,500	25%

Percentage Decrease Formula

Percentage decrease uses the same idea as percentage increase, but it measures how much a value went down compared with the starting value.

Percentage Decrease Formula:

$ \text{Percentage Decrease} = \frac{\text{Initial Value} - \text{Final Value}}{\text{Initial Value}} \times 100 $

Example: Price drops from ₹800 to ₹640:

$ \text{Percentage Decrease} = \frac{800 - 640}{800} \times 100 = \frac{160}{800} \times 100 = 20\% $

Advanced Percentage Increase Applications

Compound Percentage Increase

When a value increases by different percentages across multiple periods, apply each increase in sequence rather than adding percentages directly.

Compound Increase Formula:

$ \text{Final Value} = \text{Initial Value} \times (1 + r_1)(1 + r_2)(1 + r_3)\ldots $

where $ r_1, r_2, r_3 $ are decimal percentages, such as 10% = 0.10.

Average Percentage Increase

For simple period-by-period growth, average the individual growth rates. For long-term compounded growth, use the CAGR Calculator.

Average Annual Growth Rate (AAGR):

$ \text{AAGR} = \frac{\sum \text{Growth Rates}}{\text{Number of Periods}} $

Frequently Asked Questions

How do you calculate percentage increase between two numbers?

Subtract the initial value from the final value, divide the result by the initial value, then multiply by 100. Formula: $ \frac{\text{Final} - \text{Initial}}{\text{Initial}} \times 100 $. For example, an increase from 50 to 75 is $ \frac{25}{50} \times 100 = 50\% $.

What is the formula for percentage increase?

The formula is $ \text{Percentage Increase} = \frac{\text{Final Value} - \text{Initial Value}}{\text{Initial Value}} \times 100 $. The initial value is the denominator because the increase is measured relative to the starting number.

Can percentage increase be more than 100%?

Yes. A 100% increase means the value doubled. A 200% increase means the value tripled. For example, increasing from 10 to 30 is $ \frac{20}{10} \times 100 = 200\% $.

What if the initial value is zero?

Percentage increase is undefined when the initial value is zero because the formula requires division by the initial value. You can still report the raw change, but not a valid percentage increase.

What is the difference between percentage increase and percentage point increase?

Percentage increase shows relative growth compared with the original value. Percentage point increase shows the simple difference between two percentages. For example, 3% to 5% is a 2 percentage point increase, but a 66.7% percentage increase.

How do I calculate percentage increase in Excel or Google Sheets?

Use the formula =(B2-A2)/A2, where A2 is the initial value and B2 is the final value. Format the result as a percentage, or multiply by 100 if you want a plain number.

How do I find the final value after a percentage increase?

Use $ \text{Final Value} = \text{Initial Value} \times (1 + \frac{\text{Percentage}}{100}) $. For example, 200 increased by 15% is $ 200 \times 1.15 = 230 $.

How do I calculate percentage decrease?

Subtract the final value from the initial value, divide by the initial value, then multiply by 100. Formula: $ \frac{\text{Initial} - \text{Final}}{\text{Initial}} \times 100 $.