What is what percent of what
What is what percent of what
Percentage Calculator
Percentage calculator is your free online tool to calculate percentages easily
What is the percentage increase/decrease
What is the percentage increase/decrease
Our percentage calculator is perfect for performing both simple and complex calculations. Starting with – what is X of Y? The tool is user-friendly and easy to master in no time. All you need to do is input two fields, and after you press calculate, the answer that you require will automatically be filled in the third field.
You can try entering various combinations in different fields to get an idea of how our tool works. It also shows the complete history of your calculations so that it is easy to keep track.
Value from Percentage
In order to calculate the value based on the percentage, we use the formula V = P% * X
For example, to calculate 20% of 300, we can use the formula mentioned above.
1) Using the formula, V = P% * X, we have P as 20%, X, in this case, is 300.
2) Substituting the values in the formula, we have, V = 20% * 300
3) 20% converted to decimal form equals 0.20
4) So, the value V = 0.20 * 300 = 60
5) V = 60
6) Hence, 20% of 300 is 60.
Using the Percentage Calculator
We need to input ’20’ in the first field and ‘300’ in the second field. The calculator will then return the value 60, which is the same value we got from our calculations.
Converting value to percentage
While there are several different ways of calculating the percentage of a number, the easiest of all indicates the percentage (P) as P = X1 / X2 * 100. This is read as X1 is P percentage of X2.
For example, to find out 80 is what percentage of 200, we use the formula P = X1 / X2 * 100
1) Using the formula, P = X1 / X2 * 100, we have X1 as 80 and X2 as 200.
2) Substituting the values in the formula, we have P = 80 / 200 * 100
3) 80/200 is 0.40
4) 0.40 is the decimal form. To convert it to percentage, we need to multiply it by 100
5) So 0.40 to percentage is 0.40 *100 = 40%
6) Hence, 80 is 40% of 200.
Using the Percentage Calculator
We need to input ’80’ in the first field and ‘200’ in the second field. The calculator will return the value 40%, which is the same as we got from our calculation.
Percentage Increase/Decrease
Sometimes, it is preferred to mention the increase or decrease of a quantity in terms of percentage. The percentage increase or decrease can be calculated by computing the difference between the two values and expressing it relative to the initial value. Mathematically, the difference is taken as an absolute value, and the increase is mentioned with a ‘+’sign, and the decrease is indicated with a ‘-‘ sign.
Using the Percentage Calculator
To calculate the Percentage Increase, we need to input 200 in the first field and 240 in the second field. This will give the output as 20% indicating that there has been an increase of 20% from 200 to 240.
Uses of Percentage Calculator
These functions are required in almost every sphere of life and are crucial to managing finances:
— If you have ever visited a grocery store, you would definitely have come across coupons or banners screaming ‘discount!’ or would have received a bill with complicated percentage calculations.
— If you are a commerce student, then these calculations would be a daily occurrence in your life—such as tax, interest, inflation, etc.
Percentage Calculator (Percent of)
Using this calculator you solve 3 types of percentage problems:
To better understand, just use the calculator above by replacing its default values with yours.
Percent of Chart for 100
| 1 percent of 100 | = | 1 |
| 2 percent of 100 | = | 2 |
| 3 percent of 100 | = | 3 |
| 4 percent of 100 | = | 4 |
| 5 percent of 100 | = | 5 |
| 6 percent of 100 | = | 6 |
| 7 percent of 100 | = | 7 |
| 1 percent of 100 | = | 1 |
| 8 percent of 100 | = | 8 |
| 9 percent of 100 | = | 9 |
| 10 percent of 100 | = | 10 |
| 12 percent of 100 | = | 12 |
| 15 percent of 100 | = | 15 |
| 20 percent of 100 | = | 20 |
| 25 percent of 100 | = | 25 |
Percent of Chart for 100
| 30 percent of 100 | = | 30 |
| 33 percent of 100 | = | 33 |
| 35 percent of 100 | = | 35 |
| 40 percent of 100 | = | 40 |
| 45 percent of 100 | = | 45 |
| 50 percent of 100 | = | 50 |
| 50 percent of 100 | = | 50 |
| 60 percent of 100 | = | 60 |
| 65 percent of 100 | = | 65 |
| 67 percent of 100 | = | 67 |
| 70 percent of 100 | = | 70 |
| 75 percent of 100 | = | 75 |
| 80 percent of 100 | = | 80 |
| 85 percent of 100 | = | 85 |
| 90 percent of 100 | = | 90 |
Sample Percentage Calculations
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Percentages
The term «percentage» was adapted from the Latin word «per centum», which means «by the hundred». Percentages are fractions with 100 as the denominator. In other words, it is the relation between part and whole where the value of whole is always taken as 100.
| 1. | What is Percentage? |
| 2. | Calculation of Percentage |
| 3. | Formula to Calculate Percentage |
| 4. | Percentage Difference Between Two Numbers |
| 5. | Percentage Increase |
| 6. | Percentage Decrease |
| 7. | FAQs on Percentage |
What is Percentage?
Percentage is a fraction or a ratio in which the value of whole is always 100. For example, if Sam scored 30% marks in his math test, it means that he scored 30 marks out of 100. It is written as 30/100 in the fraction form and 30:100 in terms of ratio.
Percentage Definition:
Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol «%».
Calculation of Percentage
Calculating percentage means to find the share of a whole, in terms of 100. There are two ways to find a percentage:
It should be noted that the second method for calculating percentage is not used in situations where the denominator is not a factor of 100. For such cases we use the unitary method.
How to get a Percentage?
Percent is another name for indicating hundredths. Thus, 1% is one-hundredth, that means 1%=1/100=0.01.
Let’s calculate percentage using the two methods given above.
When we have two or more values that add up to 100, then the percentage of those individual values to the total value is that number itself. For example, Sally bought tiles of three different colors for her house. The details of the purchase are given in the following table.
| Colour | Number of Tiles | Rate per Hundred | Fraction | Written as | Read as |
| Yellow | 39 | 39 | 39/100 | 39% | 39 percent |
| Green | 26 | 26 | 26/100 | 26% | 26 percent |
| Red | 35 | 35 | 35/100 | 35% | 35 percent |
Since the total number of items adds up to 100, the percentages can be easily calculated.
What if the total number of items do not add up to 100? In such cases, we convert the fractions to equivalent fractions with the denominator as 100.
For example, Emma has a bracelet which is made up of 20 beads of two different colours, red and blue. Observe the following table which shows the percentage of red and blue beads out of the 20 beads.
Emma’s sisters, Nora and Jenny, calculated the percentages as well, but in different ways.
Nora used the unitary method. Using the unitary method for calculating percentage, we say that out of 20 beads, the number of red beads are 8. Hence, out of 100, the number of red beads will be 8/20 × 100= 40%.
Jenny converted the fraction 8/20 into an equivalent fraction 40/100 by multiplying the numerator and denominator with 5/5.
Formula to Calculate Percentage
The percentage formula is used to find the share of a whole in terms of 100. Using this formula, you can represent a number as a fraction of 100. If you observe carefully, all the three ways to get percentage shown above can be easily calculated by using the formula given below:
Percentage= (Value/Total Value)×100
Percentage Difference Between Two Numbers
Percentage difference is the change in the value of a quantity over a period of time in terms of percentage. Sometimes we need to know the increase or decrease in some quantity as percentages, which is also referred to as Percentage Change. For example, an increase in population, a decrease in poverty, and so on.
We have the formula to show the change in quantity as a percentage. There are two cases that might arise while calculating percentage difference and those are:
How to Calculate Percentage Increase?
Percentage increase refers to the perchange change in the value when it is increased over a period of time. For example, population increase, increase in the number of bacteria on a surface, etc. Percentage increase can be calculated by using the following formula:
Percentage Increase= (Increased Value-Original value)/Original value × 100
How to Calculate Percentage Decrease?
Percentage decrease refers to the perchange change in the value when it is decreased over a period of time. For example, decrease in the level of rainfall, decrease in the number of Covid patients, etc. Percentage decrease can be calculated by using the following formula:
Percentage Decrease= (Original value-Decreased Value)/Original Value × 100
Points to Remember:
Unit Converter
Percentage Calculators
The calculator determines a percentage in common problems, which are represented by common percentage questions.
1. Find the Percentage of a Number Calculator
2. Find the Percent Calculator
3. Find the Number of a Percent Calculator
4. Find the Percent Increase (the Percentage Difference Between Two Numbers) Calculator
5. Find the Percent Decrease (the Percentage Difference Between Two Numbers) Calculator
6. Find the Percent Increase Calculator
7. Find the Percent Decrease Calculator
Examples of Percent Problems and Their Solutions
1. Basic Percentage
How to find M, which is P% of N?
In this equation and equations below:
P% is the percent, that is a number or ratio expressed as a fraction of 100, in our example, P = 25%.
N is the first number (the base), in our example, N = 150.
M is the second number (the amount), in our example, M = 37.5.
Example: What is 25% of 150?
Result: 25% of 150 is 37.5.
2. Find the Percent Calculator
Find the unknown P if P% of N is M. In other words, find the unknown P if M is P% of N.
Example: Find the unknown P if P% of 200 is 25. In other words, 25 is what percent of 200?
Result: 25 is 12.5% of 200.
3. Find the Number of a Percent Calculator
M is P% of what number? In other words, how to find N if P % of N is M?
Example: 200% of what is 50? 50 is 200% of what number? In other words: How to find x if 200% percent of x is 50?
Result: 50 is 200% of 25.
4. Percent of Increase (Percentage Difference) Calculator
Find the percent of increase (P%) from N to M. In other words, find the percentage difference (P%) between two numbers N and M.
Example: What is the percent increase from 180 to 200?
Result: The increase from 180 to 200 is 11.11%.
5. Percent of Decrease (Percentage Difference) Calculator
Find the percent of decrease (P%) from N to M. In other words, find the percentage difference (P%) between two numbers N and M.
6. Percent Increase Calculator
Find M, which is a P% increase of N.
Example: What is a 10% increase of 5?
Result: 10% increase of 5 is 5.5.
7. Percent Decrease Calculator
Example: What is a 10% decrease of 8?
Result: 10% decrease of 8 is 7.2.
This article was written by Anatoly Zolotkov
You may be interested in other calculators in the Mathematics group:
Mathematics
This online unit converter allows quick and accurate conversion between many units of measure, from one system to another. The Unit Conversion page provides a solution for engineers, translators, and for anyone whose activities require working with quantities measured in different units.
We work hard to ensure that the results presented by TranslatorsCafe.com converters and calculators are correct. However, we do not guarantee that our converters and calculators are free of errors. All of the content is provided “as is”, without warranty of any kind. Terms and Conditions.
If you have noticed an error in the text or calculations, or you need another converter, which you did not find here, please let us know!
Unit Converter
Percentage Calculators
The calculator determines a percentage in common problems, which are represented by common percentage questions.
1. Find the Percentage of a Number Calculator
2. Find the Percent Calculator
3. Find the Number of a Percent Calculator
4. Find the Percent Increase (the Percentage Difference Between Two Numbers) Calculator
5. Find the Percent Decrease (the Percentage Difference Between Two Numbers) Calculator
6. Find the Percent Increase Calculator
7. Find the Percent Decrease Calculator
Examples of Percent Problems and Their Solutions
1. Basic Percentage
How to find M, which is P% of N?
In this equation and equations below:
P% is the percent, that is a number or ratio expressed as a fraction of 100, in our example, P = 25%.
N is the first number (the base), in our example, N = 150.
M is the second number (the amount), in our example, M = 37.5.
Example: What is 25% of 150?
Result: 25% of 150 is 37.5.
2. Find the Percent Calculator
Find the unknown P if P% of N is M. In other words, find the unknown P if M is P% of N.
Example: Find the unknown P if P% of 200 is 25. In other words, 25 is what percent of 200?
Result: 25 is 12.5% of 200.
3. Find the Number of a Percent Calculator
M is P% of what number? In other words, how to find N if P % of N is M?
Example: 200% of what is 50? 50 is 200% of what number? In other words: How to find x if 200% percent of x is 50?
Result: 50 is 200% of 25.
4. Percent of Increase (Percentage Difference) Calculator
Find the percent of increase (P%) from N to M. In other words, find the percentage difference (P%) between two numbers N and M.
Example: What is the percent increase from 180 to 200?
Result: The increase from 180 to 200 is 11.11%.
5. Percent of Decrease (Percentage Difference) Calculator
Find the percent of decrease (P%) from N to M. In other words, find the percentage difference (P%) between two numbers N and M.
6. Percent Increase Calculator
Find M, which is a P% increase of N.
Example: What is a 10% increase of 5?
Result: 10% increase of 5 is 5.5.
7. Percent Decrease Calculator
Example: What is a 10% decrease of 8?
Result: 10% decrease of 8 is 7.2.
This article was written by Anatoly Zolotkov
You may be interested in other calculators in the Mathematics group:
Mathematics
This online unit converter allows quick and accurate conversion between many units of measure, from one system to another. The Unit Conversion page provides a solution for engineers, translators, and for anyone whose activities require working with quantities measured in different units.
We work hard to ensure that the results presented by TranslatorsCafe.com converters and calculators are correct. However, we do not guarantee that our converters and calculators are free of errors. All of the content is provided “as is”, without warranty of any kind. Terms and Conditions.
If you have noticed an error in the text or calculations, or you need another converter, which you did not find here, please let us know!