How to find percentages of a number on a calculator. We count correctly: how to find the percentage of a sum and a number

In this article we will describe how find the percentage of a number, the proportion of one number to another. Somewhere in the fifth grade, during entertaining mathematics lessons, children begin to study such a topic as "interest". Then for those who like to count it opens fascinating world percentages and fractions. Teachers give a significant number of interesting, exciting problems to solve involving determining percentages. But in school years children think that they will not necessarily need this knowledge, but in vain! After all, this topic is always relevant and is closely related to everyday life and may well be useful in various life situations.

Why is it important to be able to find percentages of numbers?

Everyone definitely needs to be able to calculate percentages. You will ask why? It’s just that any person almost every day is faced with prices for goods and services in certain enterprises and establishments. Almost every second person has a loan, an installment plan, many have savings deposits in banks, and perhaps even more than one. Taxes, insurance, purchases - almost everything in our world involves interest. This topic concerns both financial, economic and other areas of our lives. But when solving children's problems from textbooks in grades 5-6, there are not as many pitfalls as when calculating an adult loan.

IN school curriculum There is 3 patterns to solve problems in percentages:

finding percent from the number;

finding percentage numbers

finding the number itself based on its percentage.

Do not forget that calculating interest is very often used in everyday life. An example of this is using them in your family's budget calculations. Many families take out loans such as: “Car loan”, “Consumer loan”, “Education loan” and of course “Housing loan”, which also has another name that is more familiar to us - “Mortgage”.

How is percentage of a number indicated?

It is known that the percentage is indicated by the icon «%» . Different definitions of the term are used.

• The first one is known to everyone: a percentage is one hundredth of a number.
• The second is the fee charged by the bank or other issuers. financial resources on credit for their use. This concept is extremely common for people in everyday life.

Percentage of a number - the history of the origin of the concept

Few people have wondered where this term came from. But the word “percentage” comes from the Roman Empire. Word "pro centum" can tell you little about it. But its literal designation means “from a hundred” or “for a hundred.” The very idea of ​​expressing parts of a whole in many equal shares was born a long time ago in ancient Babylon. Back then, people used sexagesimal fractions in their calculations. People who lived in Babylon left us “as a souvenir” registers, from which they calculated interest to calculate the amount of debt “accumulated” by interest from the borrower.

Interests were extremely famous even in other states of Antiquity. People who know exact science mathematics, in India they calculated percentages using the triple rule and used proportions in their calculations. The Romans, for example, were professionals in this field, because they called interest the money that the defaulter is forced to return to the one who issued it, and for every hundred. Even then, the Parliament of Rome adopted the maximum permissible interest that was taken from the debtor, because there were cases when lenders tried too hard to get their interest money. And it was from the Romans that the concept of interest passed on to all other peoples.

Who needs to know how to calculate interest?

• Accountant. He just needs to know how to calculate percentages. In any company, at any job, there is a person involved in accrual wages. Calculating, subtracting, multiplying your hard-earned money, earned through honest labor. Who is this? Of course an accountant. For example, he deals with the deduction of a percentage of wages. This percentage is a tax that is this moment is 13% of income.
• A bank employee. He also just needs to know the percentage. For what? Yes, because it is this employee who deals with loans, mortgages, and financial investments. He calculates where people's money goes. Provides information about how much a person will overpay or receive during a transaction with the bank.
• Oculist. A doctor examining the fundus of the eye, studying how well a person sees. It determines vision. He will write out glasses. But with vision, as with glasses, not everything is so simple - we are all individual, and accordingly, our vision is different. Some have +(-) 1, and some have +(-) 0.75. And the ophthalmologist, like no one else, knows a lot about this. And not only education, but also knowledge of the percentage helps him understand this.

Application of finding percentages in different areas

Financial.

Everything is elementary here - this is the same amount that the borrower pays to the lender for the fact that the second provided the first with funds for temporary use. In this case, both persons negotiate the conditions of issuance in advance and individually, documenting the financial relationship. Business vocabulary.

In business there is such a concept - “work for interest.” This means that a person is ready to work and receive remuneration, which is calculated from the profit and turnover of the enterprise.

Significance in economics. A certain amount of profit that the “lender” pays to the “lender” for the capital borrowed. The source of interest is the surplus value that is formed when using its loan capital.

Loan interest. This is a kind of deduction for the temporary use of finances. A category that functions in credit relations. In short, this is a relationship between the lender and the borrower, where each has their own interest in finding and receiving interest. This is not a loan, because the loan interest is only the cost of the profit from the product. It turns out that the interest itself is simply a deduction of profit from the amount at the borrower’s disposal. Deposit interest. Interest deduction for saving Money

in storage facilities that a bank or other borrower takes out. There are two participants in this relationship. The first person (lender) is the bank's client, the second (borrower) is the bank itself.

How to find percentages - formula for finding percentage of a number (2 formulas with examples)

There are two simple formulas for finding percentages of a number:

1. The first formula is how you can calculate the percentage of a number - divide the desired number by one hundred and multiply by the number of percentages that is necessary.
X/100*Y=... Where X is the total number from which the percentage is to be extracted, Y-

the desired percentage of it. Example from life:

You need to transfer 300 rubles to a relative in Kamchatka. You used the Zhmotfinance payment system, in which the transfer fee is 16% of the payment amount. Thus, we need to find out how much 16 percent of the number 300 will be. Divide 300 by 100 and multiply by 16. (300/100*16) = 48. This will be the amount that the greedy payment system will take for itself. 2. And the second, more simple formula - multiply the number from which you want to extract (X) by 0,Y - where Y -, this is the number of desired percentages.

you will get the required amount of interest
X* 0, Y... = Y-

the desired percentage of it. Let's say you again contacted the Zhmotfinance company, which is ready to transfer your funds to anywhere in Russia for the same 16%. But now you need to send another amount to another relative living in Vladivostok - 500 rubles. This means that we need to get a percentage of the number 500. To do this, we simply multiply 500 by 0.16 (500 * 0.16) = 80. The extortionate 80 rubles as interest for the transfer go to the income of this greedy company.

Finally, remember - algebra, geometry, physics, chemistry and many other sciences will always be useful to you. And learning to find the percentage of a number may even benefit you in the future. Numbers and figures play a vital role in a person’s future. And the ability to find percentages of any number in your mind can make your life much easier and help you avoid awkward and awkward situations in everyday life.

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How to find the percentage of a number? General rule such. To find the percentage part of a number, you need:

1. Divide the number by 100. Why 100? Because a percentage is one hundredth of a number. And in order to find a few percent, you first need to find 1% (percent). We divide the number by 100 and thus we find 1% (percent) of the number.

2. Multiply the resulting result by the number of percent. This way we will see what part of the number we were looking for.

Let's look at this with specific examples:

1. Calculate 5% of the number 60. Let’s find 1%, so we need to divide the number 60 by 100 (60: 100= 0.6). Now 0.6 needs to be multiplied by the number of percentages we are looking for. We are looking for 5%. We simply multiply 6*5 =30, as a result you need to separate one decimal place with a comma, because the factors have one decimal place, so 0.6*5= 3

2. Calculate 15% of the number 30. Using the same scheme, 30:100 = 0.3. Now 0.3 needs to be multiplied by the number we are looking for. We are looking for 15%. We simply multiply 3*15 =45, but we need to separate 1 digit with a comma. Therefore 0.3*15= 4.5

3. Calculate 75% of the number 150. Using the same scheme, 150:100= 1.5. Now 1.5 needs to be multiplied by the number we are looking for. We are looking for 75%. therefore, in order to multiply these 2 numbers, you need to discard all the commas and simply multiply 15 * 75 = 1125. Now, as a result, you need to separate as many digits with a comma as there are in both factors in total. We have one digit in both factors. That is, only 5 in the number 1.5. Therefore, we also move the comma by one digit 1.5 * 75 = 112.5.

This way it is easier to find out the percentages.

A percentage is one hundredth of a number taken as a whole. Percentages are used to indicate the relationship of a part to the whole, as well as to compare quantities.

1% = 1 100 = 0,01

The interest calculator allows you to perform the following operations:

Find the percentage of a number

To find the percentage p from a number, you need to multiply this number by a fraction p 100

Let's find 12% of the number 300:
300 12 100 = 300 · 0.12 = 36
12% of 300 is 36.

For example, a product costs 500 rubles and there is a 7% discount on it. Let's find the absolute value of the discount:
500 7 100 = 500 · 0.07 = 35
Thus, the discount is 35 rubles.

What percentage is one number of another?

To calculate the percentage of numbers, you need to divide one number by another and multiply by 100%.

Let's calculate what percentage the number 12 is from the number 30:
12 30 · 100 = 0.4 · 100 = 40%
The number 12 is 40% of the number 30.

For example, a book contains 340 pages. Vasya read 200 pages. Let's calculate what percentage of the entire book Vasya read.
200 340 · 100% = 0.59 · 100 = 59%
Thus, Vasya read 59% of the entire book.

Add percentage to number

To add to a number p percent, you need to multiply this number by (1 + p 100)

Add 30% to the number 200:
200 (1 + 30 100 ) = 200 1.3 = 260
200 + 30% equals 260.

For example, a swimming pool subscription costs 1000 rubles. Starting next month they promised to raise the price by 20%. Let's calculate how much a subscription will cost.
1000 (1 + 20 100 ) = 1000 1.2 = 1200
Thus, the subscription will cost 1200 rubles.

Subtract the percentage from the number

To subtract from a number p percent, you need to multiply this number by (1 - p 100)

Subtract 30% from the number 200:
200 · (1 - 30 100 ) = 200 · 0.7 = 140
200 - 30% equals 140.

For example, a bicycle costs 30,000 rubles. The store gave it a 5% discount. Let's calculate how much the bike will cost taking into account the discount.
30000 · (1 - 5 100 ) = 30000 0.95 = 28500
Thus, the bike will cost 28,500 rubles.

What percentage is one number greater than another?

To calculate how many percent one number is greater than another, you need to divide the first number by the second, multiply the result by 100 and subtract 100.

Let's calculate what percent is the number 20 more number 5:
20 5 · 100 - 100 = 4 · 100 - 100 = 400 - 100 = 300%
The number 20 is 300% greater than the number 5.

For example, the boss’s salary is 50,000 rubles, and the employee’s salary is 30,000 rubles. Let's find out how many percent the boss's salary is greater:
50000 35000 · 100 - 100 = 1.43 * 100 - 100 = 143 - 100 = 43%
Thus, the boss's salary is 43% higher than the employee's salary.

What percentage is one number less than another?

To calculate how many percent one number is less than another, you need to subtract from 100 the ratio of the first number to the second, multiplied by 100.

Let's calculate what percentage is the number 5 less number 20:
100 - 5 20 · 100 = 100 - 0.25 · 100 = 100 - 25 = 75%
The number 5 is 75% less than the number 20.

For example, freelancer Oleg completed orders worth 40,000 rubles in January, and 30,000 rubles in February. Let's find how many percent less Oleg earned in February than in January:
100 - 30000 40000 · 100 = 100 - 0.75 * 100 = 100 - 75 = 25%
Thus, in February Oleg earned 25% less than in January.

Find 100 percent

If the number x This p percent, then you can find 100 percent by multiplying the number x on 100p

Let's find 100% if 25% is 7:
7 · 100 25 = 7 4 = 28
If 25% equals 7, then 100% equals 28.

For example, Katya copies photos from her camera to her computer. In 5 minutes, 20% of the photos were copied. Let's find how long the copying process takes:
5 · 100 20 = 5 5 = 25
We find that the process of copying all photos takes 30 minutes.

The rules for writing numbers with a fractional part provide for several formats, the main ones being “decimal” and “ordinary”. Common fractions, in turn, can be written in formats called "irregular" and "mixed" fractions. To isolate the integer part from the fractional number of each of these notation options, it is more convenient to use different methods.

Instructions

Discard the fractional part if you need to separate it from a positive fraction written in a mixed format. In such a fraction whole part before a fraction - for example, 12 ⅔. The integer part of this fraction is the number 12. If mixed fraction has a sign, then reduce the number obtained in this way by one. The necessity of this action follows from the definition of the integer part of a number, according to which it cannot be greater value original fraction. For example, the integer part of the fraction -12 ⅔ is the number -13.

Divide the numerator of the original fraction without a remainder by its denominator if it is written in the wrong ordinary format. If the original number has positive sign, then the resulting result will be an integral part. For example, the whole part of the fraction 716/51 is equal to 14. If the original number is negative, then one should be subtracted from the result - for example, calculating the whole part of the fraction -716/51 should give the number -15.

Consider zero to be the whole part of a positive fraction, written in ordinary format and not a mixed or improper fraction. For example, this is for the fraction 48/51. If the original fraction is less than zero, then, as in previous cases, the result should be one. For example, the integer part of the fraction -48/51 should be considered the number -1.

Discard all signs after the decimal point if you need to select from positive number, written in the format decimal. In this case, it is the separation

Anonymous Number A is 56% less than number B, which is 2.2 times less than number C. What percentage of number C is relative to number A?

0	10	20	30	40	50	60	70	80	90	100
2	3	4	5	6	7	8	9	10	11	12

Anonymous a - current date b - beginning of the term c - end of the term (a-b) ⋅ 100: (c-b) Anonymous A table and chair together cost 650 rubles. After the table became cheaper by 20%, and the chair became more expensive by 20%, they began to cost 568 rubles together. Find the starting price of the table, start. the price of the chair. NMitra table price - x chair price - y 0.8x + 1.2y = 568 0.8x = 568 - 1.2y x = (568 - 1.2y) : 0.8 = 710 - 1.5y x + y = 650 y = 650 - x y = 650 - (710 - 1.5y) = -60 + 1.5y y - 1.5y = -60 0.5y = 60 y = 120 x = 710 - 1.5 ⋅ 120 = 530 Anonymous Question. There were cars and trucks

35	50%	10	45
16	23%	4,6	20,6
18	26%	5,2	23,2
1	1%	0,2	1,2
70	100%	20	90

. There are 1.15 times more passenger cars. By what percentage are there more passenger cars than trucks?

35	50%	10	45	67,5
16	23%	4,6	20,6	30,9
18	26%	5,2	23,2	34,8
1	1%	0,2	1,2	1,8
70	100%	20	90	135

NMitra By 15%. Kesha Help, please. My head is already swollen... They brought goods for 70,000. The goods are different. 23 species. Of course, their purchase prices vary from 210 rubles. up to 900 rub. Total expenses for transport, etc. = 28,000 rubles. How can I now calculate the cost of these different goods? Quantity 67 pcs. And I want to add 50 percent to them and sell them. How can I then calculate the markup of 50% for each type of product? Thank you in advance. Best regards, KESHA.. The second method is to take the amount of transport and divide by the quantitative amount of goods (in your case 67), that is, 28,000: 67 = 417.91 rubles per product. Here, add 418 (417.91) to the cost of the goods (there are many nuances here that can be take into account, but in general it looks like this).