Calculate Percentage Increase

Calculate Percentage Increase with steps

A percentage increase calculator determines the relative growth from an original value to a new value. You enter the starting value and final value to find the percent increase quickly. This calculation is used during quarterly audits, for subscription renewals, and in volatile markets to analyze data effectively.

Using a percentage increase calculator helps you compute percentage rise accurately. The process involves subtracting the initial value from the final value, dividing by the absolute original value, and multiplying by 100.

What does Percentage Increase Actually Mean?

Before diving into the math formulas, it is helpful to understand what a percentage actually represents conceptually. The word "percent" literally translates to "per 100" or "for every 100 parts."

An increase of 5 percent simply means that if you split your original value into 100 equal parts, that value has grown by an additional 5 of those parts. So, if your original value increases by 14 percent, it means an increase of 14 units for every 100 original units, 28 units for every 200 original units, and so on. Understanding this core concept makes the arithmetic formulas much easier to grasp!

Percentage Increase Formula

To compute relative change mathematically, use the percent increase formula:

This formula is a standard Algebra concept, commonly used by scientists and students to find percentage increase in mass, population growth, or chemical element compounds.

Percentage Decrease Formula

If you need to calculate a reduction, use the percent decrease formula:

Notice that the numerator simply subtracts the final value from the starting value to find a positive difference before dividing.

How to Calculate Percentage Increase

To calculate percentage increase, follow these 3 steps:

• Subtract the initial value from the final value to find the absolute difference.
• Divide that difference by the absolute value of the starting value.
• Multiply by 100 to get the percent increase.

For example, use Excel or Google Sheets to calculate percentage increase year over year by applying this arithmetic operation.

Example Problem: Percentage Increase

Last year your favorite jeans cost $36 per pair. This year they cost $45 per pair. What is the percentage increase in the price of these jeans?

Subtract $36 from $45 to get a $9 difference. Divide $9 by $36 to get 0.25. Multiply 0.25 by 100 to find a 25% increase. The jeans price increased by 25 percent.

Example Problem: Percentage Decrease

Suppose you have an investment that was worth $1,445 last year. This year, the market dropped and it is now worth $1,300. What is the percentage decrease?

Subtract the final value ($1,300) from the initial value ($1,445) to get a positive difference of $145. Divide $145 by $1,445 to get 0.10. Multiply 0.10 by 100 to find a 10% decrease.

More Example Problems

Here are a few more practical examples of calculating percentage changes in daily life:

• Salary Raise (Increase): Your salary goes from $50,000 to $55,000. The difference is $5,000. Dividing $5,000 by $50,000 gives 0.10, which is a 10% increase.
• Website Traffic (Increase): Your daily visitors grow from 200 to 500. The difference is 300. Dividing 300 by 200 gives 1.5, which equates to a massive 150% increase.
• Car Depreciation (Decrease): You bought a car for $20,000 and it is now worth $16,000. The difference is $4,000. Dividing $4,000 by $20,000 gives 0.20, resulting in a 20% decrease in value.
• Weight Loss (Decrease): You dropped from 180 lbs to 153 lbs. The difference is 27 lbs. Dividing 27 by 180 gives 0.15, meaning you achieved a 15% decrease in body weight.

percentage increase calculator between two numbers

Our percentage increase calculator between two numbers works for any positive or negative figures. It allows you to determine year-over-year percentage increase across regional divisions or after product relaunch.

Calculating Percent Decrease

If the final value is less than the starting value, the percent increase formula yields a negative number. A negative percent increase indicates a percent decrease. You use a percentage decrease calculator formula similarly: subtract the final value from the initial value, divide by the absolute initial value, and multiply by 100.

Real-Life Applications

There are 3 main real-life applications for the percentage change formula:

Why Percentage Growth Matters: Relative vs. Absolute Growth

Percentage increase is heavily used in finance and business to describe relative growth over time. Relative growth is often far more informative than absolute growth because it provides vital context.

Consider this real-life example: Suppose a company achieved $1,000,000 in extra profit compared to the previous year. This sounds impressive, but it tells us very little unless we know their previous performance. If last year's profit was $1,000,000, then the company's profit increased by 100%—which is spectacular growth! By contrast, if the firm made a profit of $100,000,000 the year before, then its profit only increased by 1%, indicating the company barely grew. This is why expressing changes as a percentage provides far more insight into the true condition of a business than raw numbers.

Common Applications

• Inflation Rate: Tracks how prices of goods and services compare over a 12-month period.
• Salary Increase Rate: Measures how much salaries grew from the previous year.
• Population Growth Rate: Describes how fast the population of a region grows.

Closely Related Topics

Whether you are analyzing percentage differences, calculating compound growth, or tracking absolute trends, our suite of specialized calculators shares the foundational arithmetic of the percent increase equation. Explore our related tools below:

FAQs