**How to find percentage**Mathematics subjects are very helpful and useful in our life’s work. Everyone does the work of doing normal calculations, adding and subtracting money. After this the most commonly used mathematical formula is percentage. The word percentage is made up of two words, the first per-each and the second hundred-100, its display symbol is %. person who **percentage formula** **(How to get percentage) **Knows that he can express any calculation in percentage.

On many occasions, it is seen that children need to calculate percentage, such as percentage of marks, percentage of exam results, comparison of sports scores or percentage of goods after discount. Calculating percentage is the easiest in other forms of mathematics. It seems complicated only until its correct knowledge or its sequence is not clear. Those who know how to calculate percentage use this formula like adding or subtracting numbers.

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**what is the percentage** **(what is the percentage)**

**How to find percentage** Percentages are a way of representing a ratio. The broad meaning of percentage is the total figure out of hundred or hundreds. Whenever the percentage of a number is to be found, then it is divided by the whole number and multiplied by 100. After this the number we get is called the percentage of that number.

**See example –** What will be 20 percent of 100 kg of wheat?

**Answer –** If 100 kg is divided into 100 parts, then 20 percent of it will be the sum of 20 kg of wheat.

Any number which has to be expressed as a percentage is divided by 100. For example, if we want to get 70 percent of a number, then we will show it as 60/100. Keep in mind that after getting the number of percentage, the sign “%” has to be put at the end of it, otherwise that number will remain as a normal figure.

article topic | calculate percentage |

beneficiary | Enumerators/Students |

Category | educational |

related website | http://ncert.nic.in |

**See also :- Hindi Patra Lekhan – Letter writing | format **

**history of percentage** **(How to get percentage)**

**How to find percentage** – Before the advent of the long decimal system in ancient Rome, calculations were done in multiples of parts 1/100, for example Magwitch taxed goods sold at auction 1/100. The calculation by these divisions was similar to the calculation of percentage. As the value of money increased over time in the Middle Ages, it became standard to count with the number 100 as the denominator.

In the 15th-16th century, this type of calculation became a common thing in arithmetic. These were mostly used on profit and loss, interest rates and rule of three. Since the 17th century, it had become a standard to calculate the interest rate in 100th part.

The word percent has evolved from the gradual development of the Italian word per cento in ancient times. It was denoted as “P” and meant ‘for a hundred’.

**where is percentage used**

**How to find percentage** People resort to percentage formulas in a mathematical calculation when it is difficult to identify the situation from the data. We often see the percentage mentioned in the reports of different regions of the country. In sports, in examination results, in different products of the market and in banking and financial planning, interest-loans are told in percentage. No matter how big or complex the data is given in any account, even then it can be easily understood and explained by using percentage.

**How to calculate percentage – Percentage Kaise Nikale**

In the above section a detailed introduction has been given about percentage. Now using some of the methods mentioned below, we will be able to understand the use of percentage. While solving any percentage problem, consider “x(times)” in place of “of” and “1/100” in place of “percentage” in the question, this will make the question more easy.

**Example – **How to represent the number 5 in percentage?

**Answer –** Multiplying the number 5 by 100 gives us 500, that is our answer.

**Example –** What is 10 percent of the number 100?

**Answer –** 10% of 100

=100 (of) 10 (percentage)

= 10x10x1/100

= 10.

**Percentage Kaise Nikale (Percentage Kaise Nikale)**

To get the percentage of a percentage, multiply both the percentages by converting them to two places of hundred or decimal.

Look at the example, what is 50% of 40%?

40×100 = 0.40 and 50×100 = 0.50 , 0.40×0.50 = 0.20 , 0.20 = 20/100 = 20%.

**Percent** integer from number

**Percent**integer from number

If we know the number of a total quantity and we get a percentage of a certain quantity out of that quantity, then we can convert this percentage number into quantity. The number thus obtained is called an “integer”.

Formula for rounding off: (number obtained X 100) ÷ percentage obtained = **integer number**

**see example** **,** Mahesh got 400 marks in seventh standard and he passed the exam with 50 percent marks, then what was his total in the exam?

(400X100) ÷ 50 = (4000) ÷ 50 = **800** (Integer)

**Calculating increase and decrease in percentage (Percentage Kaise Nikale)**

When spoken, there is no explanation of the percentage from the context i.e. in relation to which amount the quantity of the percentage is. If it is said that there has been an increase or decrease of 10 percent in a quantity, then this 10 percent is one-tenth of its initial total quantity. To which the final quantity will be obtained by adding or subtracting from the initial quantity. See an example, the price of an article Rs.200 has been increased by 10 percent.

So the new price will be 200×10 = 2000/100 = 20, Original price (200) + Increase (20) = 220 (new price). Note that this new price is 110 percent (100% + 10%) of the original price.

**Other examples of percentage change – **

- A 100% increase in a value would mean that the final quantity has become 200 percent of the original quantity. Means (original quantity 100% + increased quantity 100 % = 200% of original quantity) or say the quantity has doubled.
- When increased by 800%, the final quantity will be 9 times of the original quantity. (100% + 800% = 900%)
- If there is a decrease of 40 percent, then the final quantity will be said to be 60 percent of the original quantity. (100% – 40% = 60%)
- A 100% reduction would mean the end of everything. (100% – 100% = 0%)

**Percent** convert number to decimal

**Percent**convert number to decimal

Very often it becomes necessary to convert a known number into a percentage in the form of a decimal, the method is very simple. First divide the known number by 100, that will be the answer.

Decimal of X% = X% = X/100

= Z (answer)

Finding the decimal of 10% 10% = 10/100

= 0.10 (Answer)

**convert decimal number to percentage number**

On some occasions the number of percentage is obtained in decimal but it has to be known in percentage. To convert a decimal number into percentage, first multiply that number by 100 and put % at the end of the received number.

Finding the Number 0.15 as a Percent

015 = 015×100

= 15%

**convert percentage to fraction**

Converting any obtained percentage number to a fraction is a very simple process. To do this, first divide the percentage number by 100. Now solve the obtained fraction to its simplest form, you will get that percentage as a fraction.

Fraction of X% = X% = X/100

= X/100 (Answer)

**See example – ** Expressing 22% as a fraction?

22% = 22/100

= 11/50 (Answer)

**Different ****To** **Percent** convert into

**To**

**Percent**convert into

If there is a need to get a different number in percentage, since it is necessary to do this many times while working on percentage. Multiply the fraction by 100 and write the number obtained and put a percent sign at the end. The final number will be the percentage form of the original number.

Converting X/Y to a Percentage (XY x 100)%

= Z% (answer)

**See example –** What is the percentage form of the fraction 4/25?

(4/25 × 100)%

= 16%

**method of percentage error formula**

If any percentage calculation is done manually or by calculator, then some mistake comes in the calculation of percentage. To find out this error, we correct it using an error percentage formula.

**Formula: Error × 100/Actual count**

**See example –** Mohan bought a wood of length 20 cm. Measured, while its length is 18 cm. If there was, how much mistake did Mohana commit?

20 – 18 = 2

(2 ** **100) ÷ 18 = **11.111111 **

**Percentage Kaise Nikale (Percentage Kaise Nikale)**

At present, mobile phones are available with all people, so there is a need to calculate the percentage through a calculator. Whether it is a simple calculator or a mobile calculator, the percentage is the same and simple in both. The people of the business class do the work of calculating the percentage daily, but the common people should also know how to calculate the percentage using a calculator. To know the percentage from the detailed description given below,

Suppose you have to find the deduction number of 30 percent out of 70 thousand rupees.

**First stage,** Type the original number (70,000) into the calculator.

**second step,** On your calculator’s keypad, multiply (_{,}) button and type the percentage number to be removed (30%).

**third step,** Press the percentage (%) button on the keypad of the calculator, then you will see the number of percentages on the screen. **21000** will get.

**Some important percentage formulas**

Fundamental formula of percentage A% = A/100

Suppose we have number A and we want to find B% of it.

- Calculating B% of A = A×B/100
- A is what percent of B = A/B×100
- By what percent B is more than A = BA /A ×100
- By what percentage B is less than A = A -B/A ×100
- Percentage increase = increase/initial value A × 100
- percent decrease = decrease/initial value A × 100
- In increasing A by R%, A /(1+R/100) gives the answer
- In subtracting R% from A, A /(1-R/100) gives the answer
- Finding the new number when A is increased by B% = (100 + B / 100 × A )
- Value of A is more than B by R% and value of B is less than A by R% = ( R / 100 +R × 100 )%
- The value of A is less than B by R% and the value of B is more than A by R% = ( R / 100 – R × 100 )%

**some examples of percentages**

**Example 1. ** Out of 340 students of the first school, 255 students have passed the final examination. And out of 450 students of another school, 315 students have passed in the final examination, then the result of any school has been paramount?

If we compare the number of students passed then the result of second school is good (since 315 > 255 ) but now we have to keep in mind that the total number of students of both the schools are different. So we have to include the figure of total students also in calculating the success of the result.

255/340 = 0.75 , 75/100 = 75 percentile = 75% 1st school

315/450 = 0.70 , 70/100 = 70 percentile = 70% 2nd school

Now, since 75%>70%, we get that the pass percentage of the first school is more than the second school.

**Example 2.** What is the percentage to get 50 apples out of 1250 apples?

For this, the equation will be, 50/1250 = 0.04, the percentage of apples to be obtained will be obtained by placing them in the fraction of the total number of apples.

And 0.04 x 100 = 4%, multiplying the number obtained from the first equation by 100 will be the percentage of 50 apples out of total apples.

### Percentage Calculator – Percentage Calculator

##### What is meant by the word “percentage”?

As it is being known from this word itself, per hundred i.e. numerical quantity out of each hundred.

##### How to know the percentage of a number?

The percentage number ends with a “%” sign. If you get any percentage number, then you must put a % sign behind that number.

##### What are the general formulas for finding percentages?

The formula for finding a percentage for a given number is Percent = (Original Number / Second Number) x 100

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