How much will be 100 if 40 is equal to 68000. How to calculate the percentage of the amount in the simplest ways

How to find percentage of a number? How to calculate the percentage of the amount?

To find, for example, 5% of the number 123, you need to multiply 5 by 123 and divide by 100.

How to calculate body fat percentage?

There are many methods for determining the amount of fat in the human body. For these purposes, there are online diet percentage calculators that calculate the Body Mass Index (BMI). To implement this method, which determines the percentage of fat in the body of a woman or a man, body parameters are needed, such as height, weight and circumference.

Percentage formula

Interest calculator by deposit. Deposits - profitable storage of cash savings. In order to increase their liquidity and increase their money turnover, banks attract legal entities and individuals to put their money savings in a deposit account. And since at the moment there are a huge number of banks, considerable competition is being formed, in which each bank tries to attract customers by various methods. Some banking institutions offer an increased interest rate, others offer monthly interest payments, and still others offer the possibility of replenishment. Given these manipulations, deposits can be classified into several types:

• term deposits;
• demand deposits;
• savings deposits.

Term deposits - Deposit interest calculator

A term deposit in a bank means a bank deposit issued for a fixed period, for example, for 1 year. Having put savings on such a deposit, the owner will not be able to partially or completely withdraw them in his personal account. Of course, you can close a term deposit, but this will violate the terms of the agreement, because of which the bank will charge penalties. They may consist in not accruing interest on the deposit or in accruing interest at the lowest rate. Also, in some banking institutions, in order to pick up the deposit ahead of schedule, you must wait a certain period. For example, after writing an application for closing a deposit, the client will be able to pick it up only after a week. In most cases, term deposits cannot be replenished either. As for interest rates, in this case they are maximum.

Demand deposits - interest calculator

Keeping cash savings on a demand deposit is advantageous in that they can be replenished and withdrawn at any time (in whole or in part). Sometimes such a deposit is also called a deposit with free use. On it, banks charge a lower interest, because in this case they cannot fully dispose of the invested amount of money.

savings deposits.

Savings deposits are banking services offered by the bank, which involve opening a deposit for a specified period with the possibility of replenishment. Thanks to the possibility of replenishing the invested cash savings, the owner of a personal account will be able to save and increase personal funds.

Before investing savings, you need to carefully familiarize yourself with what banking services banks offer. Calculate the amount on the deposit interest calculator on the deposit. And only after that, having chosen the most favorable conditions, you can open a deposit agreement.

A percent is one hundredth of something. It follows from the definition that something whole is taken as 100 percent. The percentage is denoted by the "%" sign.

How to solve problems in which it is required to calculate percentages of a number? The percentage of a number can be calculated both with a formula and on a calculator.

• Task example: The price of a basket of apples is 160 rubles. The price of a basket of plums is 20% more expensive. How much more expensive is a basket of plums?
• Solution: In this task, we are required to do nothing more than find out how many rubles make up 20% of the number 160.

Percentage formula:

1 way

Since 160 rubles is 100%, we first find out what 1% will be equal to. And then we multiply this number by the 20% we need.

• 160 / 100 * 20 = 1,6 * 20 = 32

Answer: a basket of plums is 32 rubles more expensive.

2 way

The second method is a modified version of the first method. Multiply the number that is 100% by the decimal. This fraction is obtained by dividing the percentage to be found by 100. In our case:

• 20% / 100 = 0,2

We multiply 160 by 0.2 and get the same answer 32.

3 way

3 way - proportion.

Let's make a proportion of the form:

• x = 20%
• 160 = 100%

We multiply the parts of the proportion cross by cross and get the equation:

• x = (160 * 20) / 100
• x = 32

Calculating a percentage of a number on a calculator

In order to calculate 20% of the number 160 on a calculator, you need:

1. First, dial the number 160 on the screen - that is, our 100%
2. Then press the multiply button "*"
3. we will multiply by the number of percentages that need to be found, that is, by 20. Press 20
4. Now press the % key
5. The screen should display the answer: 32

Read more about interest calculation algorithms in the article.

Anonymous The number A is 56% less than the number B, which is 2.2 times less than the number C. What is the percentage of the number C relative to the number A? NMitra A = B - 0.56 ⋅ B = B ⋅ (1 - 0.56) = 0.44 ⋅ B B = A: 0.44 C = 2.2 ⋅ B = 2.2 ⋅ A: 0.44 = 5 ⋅ A C 5 times more A C 400% more A Anonymous Help. In 2001, revenue increased by 2 percent compared to 2000, although it was planned to double. By what percentage is the plan underfulfilled? NMitra A - 2000 B - 2001 B = A + 0.02A = A ⋅ (1 + 0.02) = 1.02 ⋅ A B = 2 ⋅ A (plan) 2 - 100% 1.02 - x% x = 1.02 ⋅ 100: 2 = 51% (target met) 100 - 51 = 49% (target not met) Anonymous Help answer the question. Watermelon contains 99% moisture, but after drying (put in the sun for a few days), its moisture content is 98%. By what % will the WEIGHT of the watermelon change after drying? If you calculate mathematically, it turns out that my watermelon has completely dried up. For example: with a weight of 20 kg, water is 99% of the mass, that is, the dry weight is 1% \u003d 0.2 kg. Here the watermelon loses liquid, and is already 98%, therefore, the dry weight is 2%. But dry weight cannot change due to water loss, so it is still 0.2 kg. 2%=0.2 => 100%=10 kg. Anonymous Tell me, please, how to calculate the percentage itself in the range of 2 values? Say, what is the percentage of the number 37 in the range of values ​​22-63? I need a formula for an application, I used to solve such problems in a couple of minutes, but now my brain has shrunken). Help out. NMitra It looks like this for me: percentage = (number - z0) ⋅ 100: (z1-z0) z0 - start value of the range z1 - end value of the range For example, x = (37-22) ⋅ 100: (63-22) = 1500 : 41 = 37% For the example below converges

It can be useful not only for high school students. In everyday life, this skill is necessary in order to calculate the loan payment, calculate and check whether the accountants correctly calculated the amount of taxation for you when receiving wages. And for many employees of various firms and enterprises, this skill is simply necessary for work.

What is this - a percentage? From the school curriculum, everyone remembers that a hundredth of something is considered to be a percentage in the world. That is, in other words, the expression "3 percent" should be understood as 3 hundredths of any number. For brevity, people have adopted the designation of the word "percentage" with the sign "%".

And from the school bench, we all know how to calculate the percentage of divided by one hundred, finding the value of one percent, and then the resulting quotient is multiplied by a number indicating the number of percent to be found.

For example, you need to find out what 28% of 500 is equal to. The line of reasoning should be as follows:

1. We find the size of 1% of 500 division.

1. We find the given number by multiplying the resulting quotient by 100.

That is, 28% of 500 is 28/100 of 500. In another way, you can write this action like this:

500 x 28/100 = 140.

Since the number is not always easy in the mind, and a pen and paper are not always at hand, today many people use calculators.

To calculate, you can use the described method: divide the given number by one hundred and multiply by the required percentage.

There is a faster way to calculate:

1. The given number is entered into the calculator. In our case - 500.
2. Next, press the "multiply" key.
3. Then we dial the number of desired percentages - for our version it is 28.
4. Instead of equality, select the% sign on the calculator.
5. We get the result - this is 140 in our example.

1. In the cell that displays the calculated percentage, an equal sign "=" is entered.
2. Next, a given number is written, from which you need to look for a percentage, or the "address" of the cell where this number has already been entered. In our example, we will enter the number 500.
3. The third step is to put the "multiply" or "*" sign.
4. Now you should write down the number that reflects the amount of interest you are looking for. For us it is 28.
5. The penultimate action will be the introduction of the "percentage" sign, which looks like "%".
6. To get the result, it remains only to press the "Enter" button on the keyboard. The result - 140 - will not be slow to appear on the monitor.

Before starting work in the Excel program, you should left-click to set the appropriate format in the cells of the table or use the "menu" function: "format - cells - number - percentage".

For example, we are given the numbers 140 and 500. The question is put in this way: what percentage is 140 of 500?

1. First, let's find what one percent of 500 is equal to. That is, we follow the old scheme and divide 500 by 100. We get 5.
2. Now it remains to find out how many such percentages the given number 140 contains. To do this, 140 must be divided by 5. We get the same 28 percent!
3. In one formula, this calculation can be written as follows:

140: (500: 100) = 140: 500/100 = 140: 500 X 100 = 28.

That is, the number 140 out of 500 is 28 percent.

And in order to find out how many percent one number is of another, we should divide the smaller number by the larger one and multiply the quotient by 100.

These skills are extremely important for an entrepreneur who is engaged in trade. When setting prices for goods, it is usually necessary to know how to calculate the percentage of the number, since with the help of this action the necessary “cheat” on the goods is done. It is most convenient to do the same percentage markup for the entire assortment, for example, 15%.

But to calculate net income, another skill is also needed. For example, the daily revenue in the stall amounted to 3450 rubles. What is the net income from goods sold? Some aspiring entrepreneurs naively calculate 15% of gross revenue, and make a gross mistake! Having withdrawn the “cheat” obtained in such an incorrect way from circulation, then they sit and puzzle over where the shortage came from.

And everything is very simple. After the wrapping, the product began to contain not 100% of the cost, but 100% + 15% = 115%. Therefore, to find the amount of added value generated, 15% is calculated as follows:

1. They find 1% of the revenue, dividing it not by 100, but by 115. That is, in our case

1. And now you can look for added value, which you can bravely extract from circulation.

These figures are taken from the ceiling, so you should not take these data seriously. But the calculation methods themselves deserve attention, there are no errors in them.

Every person in his life almost daily encounters the concept of interest. And this applies not only to obtaining a percentage value from one number, but also to solving the problem of how to calculate the percentage of the sum of numbers. In everyday life and everyday life, many do not pay attention to this, nevertheless, all these calculations have been incorporated in us since school.

What is a percentage

As for the concept of interest, it can be explained in the simplest way, without going into the basics of mathematical calculations. In fact, the percentage is some part of something else. It does not matter in which indicator the correspondence of the percentage with respect to the main source source will be expressed. The main thing is to understand that such a representation can be in the form of a percentage (%) itself or in the form of a fraction, which ultimately determines the ratio of the percentage to the original version.

Using interest in practice

How to calculate interest, each of us knows from the school mathematics course. In everyday life, we are faced with percentages almost every minute. Any housewife, when preparing a dish, uses a recipe in which exactly the percentage is presented. The simplest example: we take half a glass of milk ... This is the mathematical interpretation of what a certain part is in relation to the whole.

The basis of absolutely all calculations is considered to be 100 percent (100%) or one (1) if the calculation will be made using fractions. From this they are repelled when calculating any component from the initial indicator.

The same applies to the question of how to calculate the percentage of the amount, when the initial (100 percent) indicator is not one number, but several. There can be quite a lot of calculation options here. Let's consider the most basic ones.

Calculating Percentage by Proportion

Now we will not take into account the calculation of percentages using the same tables of office programs such as Excel, which do this automatically when setting the appropriate formula.

In some cases, a calculator is used, on which you can set the calculation of such actions. But it's not about that now.

Consider the most common calculation methods familiar to us from the school mathematics course.

The simplest and most common way is to solve the proportion.

In this case, the original number is given as 100 percent (say, some arbitrary number "a"), and its part (say, "b") - as an unknown "x". In math it looks like this:

a = 100%;

Based on the rules of proportion, you can calculate the unknown number x. For this, the so-called cross method is used. In other words, you need to multiply b by 100 and divide by a. Exactly the same rule applies if, in the case of drawing up a proportion, swap b and x in places when the percentage is known, but you need to calculate the part in numerical terms.

Fast Interest Calculation

Of course, calculating percentages with proportion is fundamental. However, with the use of fractional numbers, this procedure is simplified to the point of impossibility. What is 50%, really? Half. That is, 1/2 or 0.5 (based on the initial number 1). Now it’s clear: to calculate half, you need to multiply the desired number either by 1/2, or by 0.5, or divide by 2. This method, however, is only suitable for numbers that are divisible without a remainder.

In the case of a remainder or infinite signs in a period after a decimal point like 0.33333333 ... it is better to use fractional expressions like 1/3. By the way, it is fractions (irrational in some cases) that reflect the number itself with all accuracy, because periodic digits after the decimal point, no matter how you ask, still will not give a whole number. And so the same one-third clearly and clearly expresses the very essence.

In the same recipes, of course, a third can be determined, so to speak, by eye. But in chemical processes, especially those associated with a fine dosage of components, say, in pharmaceuticals, this method will not work. You can't rely on your eyes here. It is necessary to use exact ratios of ingredients, even if one of the indicators is in the form of a number with a digit in the period or is represented as the same irrational fraction. But, as a rule, for example, when weighing, such numbers can be limited after the decimal point to ten thousandths or a maximum of one hundred thousandths.

How to calculate the percentage of the amount

Very often one has to deal with several desired numbers or their sum. The question of how to calculate the percentage of the amount is solved as simply as in the case of using one initial number. The only thing to consider in this case is the usual representation of the amount as a single value.

For example, we have two numbers, a and b, and the initial indicator is the number d. In this case, the proportion will look like this:

d = 100%;

(a + b) = x.

Note that the sum (a + b) can still be represented as a single number. Let it be z. In the case when we set the formula a + b = z, the proportion takes on a completely standard form:

d = 100%;

As you can see, there is nothing complicated about this.

There is another option, when the sum (a + b) = 100%, and d = x.

Here the solution looks like this:

(d x 100)/(a + b) or (d/(a + b)) + 100/(a + b).

As already clear, the principle of a common denominator for fractions is used here.

If we add a and b, the sum of which is equal to z, then the proportion again returns to the standard form:

z = 100%;

The same applies in reverse.

Mathematical explanation

From the point of view of mathematics and its foundations, solving the problem of how to calculate the percentage of the amount comes down only to applying the simplest rules for opening brackets when multiplying the amount by a single number and finding a common denominator, which, in general, is it. In other words, you can represent it in a formula expression like this:

a x (b + c) = ab + ac,

where ab and ac are the products of the terms in brackets (b and c) and the number (coefficient) before the brackets a.

Actually, the same method works in proportion. Let's say we have some number z, which is 100%, and the sum of numbers a and b. The percentage to be calculated is denoted by the unknown number y. In this case, the proportion takes the form:

z = 100%;

(a + b) = y.

Hence the simple solution:

((a + b) x 100%)/z = ((a x 100%) + (b x 100%))/z

Actions are taken in parentheses to emphasize that the multiplication operations are performed first, and the addition of products is performed second. The same action is performed if the sum of the numbers is initially 100%.

back calculation

Very often, in the question of how to calculate the percentage of the amount, an unambiguous reverse translation also arises. In practice, this is due, say, to the reverse calculation of a quarter. Everyone knows that this figure is 25% of the initial number. Let, for example, the price of the goods was increased by 25%, which amounted to 25 rubles. You need to find how much this product began to cost. Now let's try to figure out how to calculate not the original number, knowing the percentage value, but the entire amount that should be obtained in the end. It would seem that the solution is simple:

25 = 25% (1/4 or 0.25);

x = 100%.

No, absolutely wrong. So you can get only the original number, excluding 25%. To calculate the entire amount, taking into account 25%, you need to use the formula:

25 = 25%;

x = 100% + 25%.

Or 100/0.8, which would give a value of 125 (100 + 25), since 100% plus 25% in the unit expression is the number 1.25 (one plus a quarter), and in reverse (1/x) is exactly 0.8. After doing the calculations, we get that x \u003d 125.

Conclusion

As you can see, there is nothing particularly complicated in how to calculate the percentage of the amount. True, in the school curriculum, for some reason, the reverse translation is often omitted. Then many accountants working on reports with the payment of the same VAT very often have problems.

So just follow the basic rules for calculating percentages, and the problems will disappear by themselves.

On the other hand, for convenience, both proportions and the use of fractions can be applied equally. In the first case, we have, so to speak, a classic version, and in the second - a simple and universal solution. Again, it is better to use it in the case of division without a remainder. But when calculating the most popular proportions such as half, quarter, third, etc., this method is very convenient.

Back calculations, as can be seen from the above examples, are also not something complicated. The main thing is to take into account the inverse coefficient when calculating the desired number. I think everything is in place now. As they say, simple math.