How to calculate to percentage

How to calculate percentages?

What is the formula for calculating this? (I know this isn’t exactly a coding question but I’m coding this feature and need help!

7 Answers 7

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note that percentage is normally a decimal number between 0 and 1

Given X and Y, X% of Y is X * Y/100. If using integer arithmetic, make sure you do (X * Y)/100, not (X / 100) * Y.

15% of 1000 is (15*1000)/100, which is 150.

Don’t know if I’m missing something here but if you just want the percentage of a number it’s just multiply it by the percentage and divide by 100:

NewTotal = Total * Percentage / 100

NewTotal = 1000 * 15/100

NewTotal = 1000 * 0.15

Are you looking for percentage IN a value, or percentage OF a value?

The difference is that percentage of is based on the original value, while percentage in the percentage assumes that the total already includes your percentage, and the base is correspondingly lower.

Since you mentioned total, I suspect you are looking for percentage IN the total. To derive the formula for it, you have to work backwards from DaEagle’s formula:

His version was:

The total thus would be:

For percentage-in calculation, you know the total, but you don’t know the starting value:

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.

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.

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:

How To Figure Out Percentages – How To Do Percentages

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Percentage Calculator – How To Do Percentages – The Story Of Percentages

How to figure out percentages: the term “per cent” is derived from the Latin per centum, meaning “by the hundred” or can be explained, as the portion of a quantity proportional to its whole relative to “one hundred”. The sign for “per cent % ” evolved by gradual contraction of two circles (zeros) of 100 separated by a horizontal line, and the modern “%” symbol derived. In mathematics, a percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, “%”, or the abbreviated some time as “pct.” Or “pc” used in the case of quantities in economics. In mathematical statement “a percentage is a dimensionless number (pure number)”. For example, 81% (read as eighty one percent) and expressed as, equal to 81 portions of its whole quantity relative to 100. Following will help understanding further:

Examples Of How To Figure Out Percentages

Example1: 81 is the 81% of 100. The formula for this calculation is: (81/100) x 100

Example2: 162 is the 81% of 200. The formula for this calculation is: (162/200) x 100

Example3: 243 is the 81% of 300. The formula for this calculation is: (243/300) x 100

Were 100, 200 and 300 are Total Marks.

Were 81, 162 and 243 are Obtained Marks.

Were 81% is a Percent Mark Achieved.

We can notice the total and achieved marks vary but once expressed in terms of 100, the percentage remains unchanged, meaning thereby, the percentage is independent of numerical value of its dependents, however does not exceed 100. This is simplest example to understand what is meant by percentage. How to calculate percentage for above mentioned results is expressed by this formula:

( Obtained Mark / Total Mark ) x 100

Let us go a little beyond simple situation. Whenever we are required to calculate percentage, it is important to specify what it is relative to, i.e. what is the total that corresponds to 100%. The following problem illustrates this point.

In a certain college 60% of all students are female, and 10% of all students are computer science majors. If 5% of female students are computer science majors, what percentage of computer science majors are female?

We are asked to compute the ratio of female computer science majors to all computer science majors. We know that 60% of all students are female, and among these 5% are computer science majors, so we conclude that (60/100) × (5/100) = 3/100 or 3% of all students are female computer science majors. Dividing this by the 10% of all students that are computer science majors, we arrive at the answer: 3%/10% = 30/100 or 30% of all computer science majors are female.

You are welcome to use our percentage calculator to solve percentages (to figure out percentages) in a seconds!

Percentage Calculator – Ultimate Guide to Percentages

Use this percentage calculator to solve one of the problems below.

Result:

On this page:

How to Calculate Percentage

A percentage is the proportion of a part to the whole amount or the portion of a value. It can be expressed as a fraction/decimal or as a whole number with a percent symbol.

To solve the percentage between two values or one of the values themselves, use the percentage formula:

Simply put, the value y is equal to value x multiplied by the percentage p, divided by 100.

By rewriting this formula, it’s possible to solve any of the values if the other two are known.

For example: let’s solve 75% of 60.

y = x × p / 100
y = 60 × 75 / 100
y = 4500 / 100
y = 45

How to Calculate Percent of Change

To find the amount of change between two numbers expressed as a percent, use the percent change formula:

p = y – x / |x| × 100

Thus, the percent of change p is equal to the final value y minus the initial value x, divided by the absolute value of the initial value x, times 100;

You can also easily find the amount of change from one value to another with our percent change calculator.

How to Calculate Percent Increase or Decrease

When increasing by a percentage, find the result using the percent increase formula:

y = x + (x × p / 100 )

So when increasing the value x by percentage p, the result will be x plus x times the percent p, divided by 100.

When decreasing by a percentage, find the result using the percent decrease formula:

y = x – (x × p / 100 )

So when decreasing the value x by percentage p, the result will be x minus x times the percent p, divided by 100.

Our percent increase and percent decrease calculators make it easy to solve these equations.

How to Convert Percentage to a Decimal

Percentages are often represented as a whole number with the “%” symbol after it, but they can also be expressed as a decimal. Since percent means “per 100,” the decimal conversion is just a division by 100.

See the percentage to decimal conversion formula:

How to Calculate Percentage?

In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100. If we want to calculate the percent of a number out of a given number then we have to divide the number by the given number and multiply the result by 100. Hence, the percentage means a part per hundred. The word percent means per out of 100. It is represented by the symbol “%”.

Examples of percentages are:

10% is equivalent to 1/10 fraction
20% is equivalent to ⅕ fraction
25% is equivalent to ¼ fraction
50% is equivalent to ½ fraction
75% is equivalent to ¾ fraction
90% is equivalent to 9/10 fraction

Percentages have no dimension. Hence it is a dimensionless number. If we say 50% of a number, it means 50 percent of its whole.

Percentages can also be represented in decimal or fraction form, such as 0.6%, 0.25%, etc. In academics, the marks obtained in any subject are calculated in terms of percentage

There are many formulas for calculating percentage problems. but we can think of the most basic as

X is the number obtained,

Y is the number out of which we have to calculate the percentage.

Question: How to calculate the percentage of a number, as what is 5% of 150?

Answer:

Convert the given problem into an equation using the percentage formula as follows:

5% of 150 = 5/100 × 150

So 5% of 150 is 7.5

Fraction to Percentage

We will follow the following steps for converting a decimal into a percentage:

Percentage = Fraction × 100

Question: Change the given fractions into percentages.

Answer:

1. Express 11/20 as a percent.

Let us consider how to change a fraction to a percentage

11/20 = 11/20 × 100 %

2. Express 2/4 as a percent.

Let us consider how to change a fraction to a percentage

3. Express 30/5 as a percent.

Let us consider how to change a fraction to a percentage

4. Express 10/2 as a percent.

Let us consider how to change a fraction to a percentage

5. Express 19/4 as a percent.

Let us consider how to change a fraction to a percentage

6. Express 27/2 as a percent.

Let us consider how to change a fraction to a percentage

Ratio to Percentage and vice versa

Ratios are often expressed in the form

m:n or m/n.

To convert a ratio into the form of a percentage, simply divide m by n and then multiply the result by 100.

The ratio to percentage formula is used to convert the ratio to percentage. The ratio to percentage formula is given as follows:

Percentage = Ratio × 100

Question: Change ratios into percentages

Answer:

1. Convert the ratio 3:1 to percentage.

The percentage value of 4:1 is calculated as follows:

Thus, the percentage of the ratio of 3:1 is 300%

2. Convert 75% into a ratio.

Therefore, 75% = 3: 4

3. What is 25% as a ratio?

Therefore, the ratio equivalent to 25% is 1:4

4. Convert 45% into the ratio.

Therefore, 45% = 9:20

5. What is 55% as a ratio?

Therefore, the ratio equivalent to 55% is 11/20.

6.Convert the ratio 2:1 to percentage.

The percentage value of 2:1 is calculated as follows

Thus, the percentage of the ratio of 2:1 is 200%

Decimal into a Percentage

We will follow the following steps for converting a decimal into a percentage:

Obtain the number in decimal form. Multiply the number in decimal form by 100 and put the percent sign (%)

Note: When we multiply the decimal number by 100, then we need to shift the decimal point two places to the right

Question: Change decimals into percentages

Answer:

Conversion of decimal into percentage

(i) 0.29 = 0.29 × 100 % = 29 %

(ii) 0.25 = 0.25 × 100 % = 25 %

(iii) 0.01 = 0.01 × 100 % = 1 %

(iv) 0.51 = 0.51 × 100 % = 51 %

(v) 13.01 = 13.01 × 100 % = 1301 %

(vi) 201.17 = 201.17 × 100 % = 20117 %

(vii) 100.11 = 100.11 × 100 % = 10011 %