Advice 1: How to transfer interest in shares of the

In the solution of economic and statistical tasks often have to translate the interest into shares. Because the percentages themselves are lobes, but a fixed (socimi) shares. In most cases, such a transfer is straightforward – you just need to carefully monitor the correctness of the calculations.
How to transfer interest in shares of the
You will need
  • calculator
Instruction
1
To convert a percent into fraction, it is necessary first to clarify: in what proportion you want to translate them. In tens, tenth, fifth, third, etc.
For example, interest needs to be translated into n-wide share. To do this, use the following formula:KD = K% x n / 100, where:KD – the number of shares
To% - the percentage
n is the "size" of the shares (for the third n=3, for tenths – n=10, etc.).
2
For example, suppose it is known that the concentration of the solution is 2%. Required: what will be the concentration of this solution in thousandths ( ‰ ).
Using the above formula we get 2 x 1000 / 100 = 20. That is, the concentration of 2% solution, expressed in thousandths is equal to 20.
3
However, in practice, to clarify in what proportion it is necessary to translate the interest is often difficult. In this case, choose the most appropriate in this situation share. This should take into account also the amount of interest in each case. Such situations are better dealt with in typical examples.
4
For example, suppose a shareholder owns 20% stake in the company. You want to find out what share of the company he owns.
So 20% is 20/100, then reducing this fraction, we get 1/5. That is, in this case, based on the subject matter and the amount of interest, the answer will be: "Fifth share."
5
If the shareholder has purchased 51% of the shares, to reduce the amount of interest will not succeed. So (theoretically) the most appropriate answer to the above question is "Fifty-one hundredth of a share".
However, in this situation, the answer is not quite appropriate. More informative would be to decompose 51/100 amount: 50/100 + 1/100 = 1/2 + 1/100. Thus, the correct answer is "Half and one hundredth".
6
If you receive acceptable shares of the impossible, and the accuracy of calculations is not critical, then slightly adjust the amount of interest.
For example, it is known that 77% of employees and family. The question is: what proportion of the total number of employees are family workers.
As 77/100 cannot be reduced, you will find a more appropriate numerator. Is - 75. 75/100=3/4. Therefore, the correct (in this case) the answer will be: "More than three-quarters" or "Three out of four".

Advice 2: How to translate into a percentage

Percentage is a relative unit of measurement that expresses the magnitude of a percentage of the whole compared with the number 100. The amount recorded in the format of the fraction shows the ratio of the fraction (the numerator) to the whole (denominator). This allows any number to translate the percent to a proportion, whether it is presented in the form of natural numbers, with ordinary or decimal fractions.
How to translate into a percentage
Instruction
1
To translate into a percentage of the number written in the format of fractions, make the proportion - prirodnaya it to the other fractions, the numerator of which should be the desired percentage, and the denominator is 100%. If we denote the numerator of the original fraction as a variable, the denominator as a variable b and the required number as x, the proportion can be written as: a/b = x/100.
2
We Express the unknown variable from the obtained in the previous step equality through other members the identity transform so that the left part remained only the required number x. The right side should be the original fraction, magnified a hundred times: x = 100*a/b.
3
Obtained in General solution, substitute the values of the variables (the numerator and denominator of the original fraction) and calculate the result. If a common fraction is written in the mixed format, before the beginning of the computation, multiply the whole part by the denominator of the fraction and add the obtained value to the numerator. For example, the fraction corresponds to approximately 100 4/15*4/15≈26,67%. For mixed and improper fractions the result will always be greater than 100%. For example, 2 7/25 is 100*(2*25+7)/25 = 100*57/25 = 228%.
4
To translate into a percentage of the number written as decimal fractions, you can make a proportion, as in the first step. On the left side it should be a decimal converted to a common format. For such transformation in the numerator put the original number from which is withdrawn the decimal point and the denominator is the unit number of zeros equal to the number of digits after the decimal point in the original number. Further actions with the proportion described above.
5
If your lead does not need to translate the decimal into a percentage just move the decimal point two digits to the right. For example, the number 0,782 in percentage terms can be written as 78.2 percent.
6
With a natural number it is still easier to represent it in percent on the right just add two zeros. For example, the number 4 corresponds to 400%.
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