Question

What is 7 out of 50 as a percentage?

Answer 1

Hint: We first change the given statement into fraction to get the ratio form. Then form the ratio we find the percentage by multiplying by 100. Now to do it without calculation, we just need to find the equivalent number of 7 out of 100 instead of 50. We multiply 2 with 7 to get the solution.

Complete step by step answer:
For the given statement 7 out of 50, we need to find the ratio of numbers 7 and 50. The ratio is used to find the unitary value of a particular number with respect to another number. Therefore the ratio of any two numbers x and y can be expressed as ${\displaystyle \frac{x}{y}}$. Ratios work like fractions. The number becomes the numerator and the denominator of the ratio. For the fraction ${\displaystyle \frac{x}{y}}$, we first find the G.C.D of the denominator and the numerator. If it is 1, then it's already in its simplified form and if the G.C.D of the denominator and the numerator is any odd number, d, then we need to divide the denominator and numerator with d and get the simplified form as ${\displaystyle \frac{{\displaystyle \frac{x}{d}}}{{\displaystyle \frac{y}{d}}}}$ .
So, for 7 out of 50, the ratio will be ${\displaystyle \frac{7}{50}}$. We now try to find the percent value of the fraction; we multiply the fraction with 100.
Therefore, ${\displaystyle \frac{7}{50}}\times 100=14\mathrm{\%}$.
Now to complete it without multiplication and calculation, we just need to find the equivalent number of 7 out of 100 instead of 50. For that we multiply 2 with 7, which is, $7\times 2=14\mathrm{\%}$.

Note: The value of a fraction is actually the unitary value of 7 out of 100. Therefore in percentage value we got 14 as a percentage. Percent deals with the ratio of out of 100. We know 7 out of 50 changes to 14 out of 100. Both of them have similar ratios.