📊 Percentage Calculator

How to Use the Online Percentage Calculator

A percentage expresses a value as a fraction of 100. It is commonly used to calculate examination marks, discounts, price changes, business profits, expenses, and many other everyday calculations. The SarvSeva Percentage Calculator helps you perform these calculations quickly without manually working through each formula.

Choose the calculator that matches your requirement. To find a percentage of a number, enter the percentage and the number in the first calculator. To calculate examination marks, enter your marks obtained and the total marks. To compare prices or other figures, use the percentage increase/decrease calculator.

Enter valid numbers and select the relevant Calculate button. The answer appears below the calculator. You can change the values and calculate again whenever needed. The tool works directly in your browser and is designed for desktop and mobile screens.

What Is a Percentage?

The word percentage means “per hundred.” The symbol used for percentage is %. For example, 25% means 25 out of every 100. Similarly, 50% represents one-half, 75% represents three-quarters, and 100% represents the complete amount.

Percentages make it easier to compare values of different sizes. For example, a score of 80 out of 100 is 80%, while a score of 160 out of 200 is also 80%. Even though the total marks differ, the percentage gives a common way to compare the results.

Percentage Formula

The basic formula for calculating a percentage is:

For example, if you score 45 marks out of 60, divide 45 by 60 and multiply the answer by 100. The result is 75%. This formula is useful for school and college marks, competitive examinations, attendance, survey results, and many other situations.

How to Calculate X% of a Number

To calculate a percentage of a number, multiply the number by the percentage and divide by 100. The formula is:

For example, 20% of 500 is 100. First multiply 20 by 500 to get 10,000, then divide by 100. The answer is 100. You can use this calculation to find discounts, tax amounts, commissions, savings, or a percentage of any numerical value.

How to Calculate Exam Marks Percentage

Students often need to calculate their percentage after school examinations, college tests, entrance examinations, or practice tests. Add the marks obtained across the relevant subjects and compare the total with the maximum possible marks.

For example, if you obtain 420 marks out of 500, your percentage is 84%. Enter 420 as the marks obtained and 500 as the total marks in the marks calculator above.

Always check the examination authority's instructions. Some examinations use subject-wise eligibility rules, best-of-subject calculations, grade points, or other methods instead of a simple aggregate percentage.

How to Calculate Percentage Increase

Percentage increase shows how much a value has risen relative to its original value. It can help you compare a price increase, salary increase, monthly expenses, sales, or other figures.

For example, if a product's price increases from ₹200 to ₹250, the increase is ₹50. Divide ₹50 by the original price of ₹200 and multiply by 100. The price has increased by 25%.

How to Calculate Percentage Decrease

Percentage decrease measures the reduction in a value compared with its original value. It is useful when calculating discounts, reduced prices, lower expenses, falling sales, or a decrease in quantities.

For example, if the price of an item falls from ₹800 to ₹600, the reduction is ₹200. Dividing ₹200 by ₹800 and multiplying by 100 gives a decrease of 25%.

The increase/decrease calculator above displays the direction of the change. A positive change means the new value is higher; a negative change means the new value is lower.

How to Find What Percentage One Number Is of Another

Sometimes you know two values and need to find what percentage the first represents of the second. Divide the part by the whole and multiply by 100.

For example, 30 is 25% of 120 because 30 divided by 120 equals 0.25, and 0.25 multiplied by 100 equals 25. This method can be used for attendance, completed tasks, targets achieved, and other part-to-whole comparisons.

What Is Percentage Difference?

Percentage difference compares two values using the average of those values as the reference. It is helpful when neither value is specifically treated as the original or starting value.

For example, the difference between 80 and 100 is 20. Their average is 90. Dividing 20 by 90 and multiplying by 100 gives approximately 22.22%.

Percentage difference is not the same as percentage increase or decrease. When a calculation has a clearly defined starting value, use the increase/decrease calculator instead.

Where Are Percentages Used?

• Education: Calculate examination marks and test results.
• Shopping: Find discounts and reduced prices.
• Business: Compare sales, costs, and revenue changes.
• Personal finance: Calculate budget changes and savings rates.
• Employment: Compare salary increases and performance figures.
• Statistics: Express a part of a group as a percentage.
• Attendance: Find the proportion of classes attended.

Common Percentage Calculation Mistakes

One common mistake is dividing by the new value instead of the original value when calculating a percentage increase or decrease. The original value is the reference for percentage change.

Another mistake is confusing percentage points with percent change. If a rate moves from 20% to 25%, the increase is 5 percentage points. Relative to the original rate of 20%, however, the increase is 25%.

Also, check that the total or whole is correct before calculating examination percentages or other part-to-whole results. If the total is zero, a percentage based on division by that total cannot be calculated.

Frequently Asked Questions

Note: This tool provides mathematical calculations for general information. For official examination eligibility, financial decisions, or other regulated calculations, verify the applicable rules and figures with the relevant authority.