The word "percent" in Greek means a hundredth of a number. In mathematics, and throughout the world, it is customary to consider the absolute as 100%. Based on this principle, all computational rules are built.
There are several options for tasks related to the goal of calculating the percentage of the number. Each such task has its own individual solution principle.
Find the percentage of a number
In the condition of the problem, a certain numerical value is given and it is required to find its percentage. For example, we have the number 47 and we need to calculate it 25%.
Solution: For the solution we take the original number as 100%. After that, we translate this percentage into a decimal fraction and we get that 25% \u003d 0, 25. We multiply 47 by the percentage expressed as a fraction, and we get the desired number 470, 25 \u003d 11, 75.
Answer: 11, 75 is 25% of 47.
Find a number by percentage
The next type of problem, related to the question of how to find the percentage of a number, is the calculationvalues for the available percentage. Given that 57 is 45% of some number. You need to find this number.
Solution: To solve such a problem, it is necessary to divide the existing number by the percentage that it is of the whole. So, we get that 57/0, 45=126, 67. To better understand this action, it would be useful to analyze the entire process in detail. 57 is 45%, i.e. To find the value of one percent, you need to divide the number by the number of percent. It turns out that 1% of the integer is 1.2667. Next, to find the integer, we multiply the resulting value by 100.
Answer: A number 45% of which is 57 is 126, 67.
Find the percentage of one number from another
Tasks are a little more difficult, in which you need to find the percentage value that one number is from another. How to find the percentage of a number in this case? The answer is very simple. Let's take a look at a small example. We have two numbers: let's say it's 45 and 58. To find out what percentage is 45 of 58, you need to multiply it by 100 and divide by 58. We get that 45 is 77.6% of 58.
You can often see situations where people do not understand how the price of a product will change if it increases by 15%. People forget elementary school math and for this reason they wonder how to find the percentage of a number.
Knowledge of the percentage message in the field of exchange communications and operations is especially important. When making deposits to a bank account, we also deal withpercent. The principle of floating interest or capitalization often operates there, which complicates the principle of calculating the final total a little.
As we can see, with a little repetition, you can easily remember, or re-learn how to find a percentage of a number, and indeed how to work with a similar mathematical and financial unit. This knowledge will not only expand the general human outlook, but will also help you navigate more confidently in situations with changes in prices, exchange rates, bank interest, profit margins and other very important processes. Of course, at first glance it seems that the ability to calculate in the mind can save only a few seconds, but the minute gained from making one decision can result in several days freed up in a year.
