Percentage Calculator
Percent of, what percent, change and raise four sums at a glance.
Percentages, at their simplest.
Percentage calculation is one of the most frequently used and practical mathematical operations. In everyday life we need to calculate percentages when shopping, keeping track of salary increases, buying discounted products and in many other situations. Whether you are a student, work in business or look after a household, being able to calculate percentages will always come in handy.
Percentage calculation is actually a very simple operation, and although it may look complicated at first glance, you will have no difficulty once you have learnt the right formula. In this article we explain percentage calculation in its simplest form. By looking at the mathematical formulas and practical examples together, we will help you become an expert in percentage calculation. You will also find answers to questions such as how to calculate percentages on your phone and how to calculate a percentage on a calculator.
What Is Percentage Calculation? A whole in a hundred equal parts.
A percentage is a ratio that shows what part of a whole is represented when that whole is divided into one hundred equal parts. It is written with the percent sign (%). For example, 50% means half of a whole. 25% means a quarter of a whole. 100% is the whole in its entirety.
Percentage calculation is the process of finding how much a given percentage of a particular number is. Finding what percentage one number is of another is also part of percentage calculation. The percentage formula is very simple: (Number × Percentage) / 100 = Result. Once you know this simple formula, you can carry out all percentage calculations with ease.
How Do You Calculate a Percentage? Three kinds of problem.
Percentage calculation covers three main types of problem: finding a percentage of a number, finding what percentage one number is of another, and calculating percentage change. Let us explain each of these three methods separately.
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01
Type One: How Do You Find a Percentage of a Number?
200 × 30 ÷ 100= 60In this type of problem, we need to find the required percentage of a given number. For example, what is 30% of 200? To solve this problem, we carry out the calculation 200 × 30 / 100 = 60. So 30% of 200 is 60.
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02
Type Two: What Percentage of One Number Is Another?
(30 ÷ 200) × 100= 15%In this type of problem, we find what percentage one number is of another. For example, what percentage of 200 is 30? To solve this problem, we carry out the calculation (30 / 200) × 100 = 15. So 30 is 15% of 200.
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03
Type Three: Calculating Percentage Change (Increase or Decrease)
((2500 − 2000) ÷ 2000) × 100= 25%In this type of problem, we find how much change there is, as a percentage, between the starting value and the final value. Formula: ((Final Value – Starting Value) / Starting Value) × 100. For example, a salary rose from 2000 TL to 2500 TL. Percentage increase: ((2500 – 2000) / 2000) × 100 = a 25% increase.
Summary of the Percentage Formula Every calculation at a glance.
Understanding the percentage formula correctly is essential for solving all percentage problems. The main formula is as follows:
Result = (Number × Percentage Rate) / 100
Here, ‘Number’ is the number the calculation is carried out on, and ‘Percentage Rate’ is the rate we want, expressed in %. With this formula you can calculate out of 100 and also work with other numbers. If we rearrange the formula, we can also solve other types of percentage problems. For example, when finding what percentage one number is of another, we use the formula: Percentage = (Number1 / Number2) × 100.
- 01
Percent of a number
Number × Percent ÷ 100
Example
500 × 20 ÷ 100 = 100 - 02
A as a percent of B
(A ÷ B) × 100
Example
(50 ÷ 200) × 100 = 25% - 03
Percentage change
((Final − Start) ÷ Start) × 100
Example
((150 − 100) ÷ 100) × 100 = 50%
Percentage formulas in Excel
- Percent of a number
=A2*B2/100 - A as a percent of B
=A2/B2*100 - Percentage change
=(B2-A2)/A2*100
With the number or starting value in A2 and the percent or final value in B2. If the cell is formatted as a percentage, leave out the “*100”.
How Do You Find a Percentage of a Number?
Finding a percentage of a number is the most common operation in percentage calculation. To do it, you first need a good understanding of the basic formula. A percentage of a number is found by multiplying that number by the percentage rate and dividing by 100.
To show with an example how to find a percentage of a simple number: what is 20% of 500? Answer: 500 × 20 / 100 = 100. So 20% of 500 is 100. Another example: what is 15% of 1000? Answer: 1000 × 15 / 100 = 150. In this way, any percentage of any number can be calculated easily.
- 20% of 500 = 100
- 15% of 1000 = 150
What Percentage of B Is A?
In this type of problem, we need to find the percentage relationship between two given numbers. To find what percentage one number is of another, we divide the first number by the second and multiply the result by 100. Formula: (A / B) × 100 = Percentage.
Example: what percentage of 200 is 50? Answer: (50 / 200) × 100 = 25%. So 50 is 25% of 200. Another example: what percentage of 150 is 30? Answer: (30 / 150) × 100 = 20%. Calculations like these are used when finding discount rates, calculating profit margins and in many business situations.
- 50 is 25% of 200
- 30 is 20% of 150
Calculating Salary Percentages and Pay Rise Percentages A 15% raise on 4,000 TL.
Salary percentage calculation is very important for people in work. Knowing how to calculate percentages is needed when working out pay rises or deductions. Calculating a pay rise percentage means expressing the increase in salary as a percentage.
For example, if your monthly salary is 4000 TL and you receive a 15% rise, what will your salary be after the rise? Answer: 4000 × 15 / 100 = a 600 TL rise. Your new salary will be 4000 + 600 = 4600 TL. Conversely, if you know that your salary went up from 4000 TL to 4600 TL, you can calculate what percentage rise you received: ((4600 – 4000) / 4000) × 100 = a 15% rise.
- Raise
- 4,000 × 15 ÷ 100 = 600 TL
- Raise percentage
- ((4,600 − 4,000) ÷ 4,000) × 100 = 15%
Calculating Percentage Increase and Change Always against the start.
Percentage increase calculation is a method that shows how much a value has increased or decreased over time. It is used in business, economics and many other fields. The percentage change formula: ((Final Value – Starting Value) / Starting Value) × 100.
For example, if the price of a product rose from 100 TL to 150 TL, the percentage increase is ((150 – 100) / 100) × 100 = a 50% increase. If the price of a product fell from 100 TL to 70 TL, the percentage decrease is ((70 – 100) / 100) × 100 = −30%, i.e. a 30% decrease. Change is always calculated relative to the starting value.
- 100 → 150 TL+50%increase
- 100 → 70 TL−30%decrease
Calculating Ratios and Finding Percentages 15:25 = 60%.
Ratio calculation is a mathematical operation that describes the relationship between two or more numbers. A percentage is a special kind of ratio and is always expressed on a base of 100. Ratio calculation can be used as a way of finding percentages.
For example, a class has 25 pupils, 15 of whom are girls and 10 boys. The ratio of girls is 15:25 = 3:5. Expressed as percentages, we can say that (15/25) × 100 = 60% are girls and (10/25) × 100 = 40% are boys. In this way, we find the percentage by calculating the ratio.
- Girls
- 15 / 25 = 60%
- Boys
- 10 / 25 = 40%
- Ratio
- 15:25 = 3:5
How Do You Calculate a Percentage on a Calculator? 200 × 30 % = 60.
Calculating a percentage on a calculator is very simple. Most calculators have a % symbol. To calculate a percentage on your phone, all you need to do is open your phone’s calculator app.
For example, to find 30% of 200: enter 200, then press the × (multiply) key, enter 30, then press the % key and press the = (equals) key. The result 60 will appear on the screen. Now that you know how to calculate a percentage on a calculator, you can use this method for all your percentage calculations. Some calculators may work differently, but the general principle is the same.
Practical Percentage Calculation Examples 10%, 20%, 30%, 60%.
The percentage calculations you meet most often, worked through.
- 10% of 50050
- 20% of 800160
- 30% of 1000300
- 60% of 8048
- 60% of 7042
Calculating 10%: what is 10% of 500? 500 × 10 / 100 = 50. Calculating 20%: what is 20% of 800? 800 × 20 / 100 = 160. Calculating 30%: what is 30% of 1000? 1000 × 30 / 100 = 300.
What is 60% of 80? 80 × 60 / 100 = 48. What is 60% of 70? 70 × 60 / 100 = 42. These examples show how the simple percentage formula is applied.
Percentage Calculator We do the maths, you make the call.
If the percentage formula still seems complicated to you, you can use our online calculator tool on inurdemirel.com. Our discount calculator for discounts on your purchases and our VAT calculator for tax calculations in your business processes are also ready to use.
Our online calculator handles percentage calculation, simple percentage calculation, ratio calculation and percentage change calculations. The tool is completely free and very easy to use. The result is calculated as the numbers are entered. You can find the answer to how percentage calculation is done both by learning the formula and by using our online tool.
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Percentages: no question left unanswered.
From the percentage formula to pay rises: a short answer to every question.
Calculate a PercentageThe percentage formula is (Number × Percentage) / 100. With this simple formula you can solve all percentage problems. For example, to find 25% of 200: 200 × 25 / 100 = 50.
A percentage of a number is calculated by multiplying that number by the percentage rate and dividing by 100. For example, 20% of 500 is 500 × 20 / 100 = 100.
Open your phone’s calculator app. Enter the number, press the multiply key, enter the percentage rate, press the % key and then press the equals key. The result appears on the screen.
The percentage increase formula is ((Final Value – Starting Value) / Starting Value) × 100. For example, if a price rose from 100 TL to 150 TL: ((150 – 100) / 100) × 100 = a 50% increase.
The percentage of a pay rise is calculated with the formula (Rise Amount / Old Salary) × 100. For example, if a salary went up from 4000 TL to 4600 TL: ((4600 – 4000) / 4000) × 100 = a 15% rise.
Formula: (A / B) × 100. For example, what percentage of 150 is 30? Answer: (30 / 150) × 100 = 20%.
The change formula is ((Final Value – Starting Value) / Starting Value) × 100. This formula shows both increases and decreases.
Simple percentage calculation means finding a given percentage of a number. For example, it is the process of answering the question ‘what is 30% of 200?’. Formula: 200 × 30 / 100 = 60.
A ratio shows the relationship between two or more numbers (e.g. 3:5). A percentage is a ratio expressed on a base of 100 (60%). Every percentage is a ratio, but not every ratio is a percentage.
Discount percentage calculation: (Discount Amount / Original Price) × 100. For example, if a 100 TL product is sold for 80 TL with a 20 TL discount: (20 / 100) × 100 = a 20% discount.
An online percentage calculator is a piece of software that can be used on the internet and calculates percentages automatically. Our tool on inurdemirel.com lets you calculate percentages without knowing any formula.
You can phrase any percentage problem as a ‘what is’ question. For example, ‘What is 50% of 100?’ is a standard percentage problem. Questions like this are solved with the formula (Number × Percentage) / 100.
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