Question

What percent of 20 is 4?

Answer 1

Hint: To find what percent of 20 is 4, we are going to take $x\mathrm{\%}$ of 20 is equal to 4. Now, removing the percentage symbol we are going to divide 100 by x and then multiply this division by 20. After multiplying this division by 20, we are going to equate this multiplication to 4. Now, solve this equation and get the value of x.

Complete step by step answer:
In the above problem, we are asked to find what percent of 20 gives the answer 4.
So, let us assume $x\mathrm{\%}$ of 20 is equal to 4. Now, writing $x\mathrm{\%}$ of 20 in the mathematical form. For that, we are going to eliminate this percentage $\left(\mathrm{\%}\right)$ symbol by dividing x by 100 and then will multiply this division by 20 and we get,
$\Rightarrow {\displaystyle \frac{x}{100}}\times 20$
Now, equating the above multiplication to 4 we get,
$\Rightarrow {\displaystyle \frac{x}{100}}\times 20=4$
Solving the above equation will give us the value of x. Now, as you can see that in the L.H.S of the above equation the numerator and the denominator will get divided by 20 so dividing the numerator and the denominator by 20 we get,
$\Rightarrow {\displaystyle \frac{x}{5}}=4$
On cross multiplying the above equation we get,
$\Rightarrow {\displaystyle \frac{x}{5}}\times 5=4\times 5$
In the L.H.S of the above equation, 5 will be cancelled out in the numerator and denominator we get,
$x=20$

Hence, we have got the value of x as 20. So, we can say that $20\mathrm{\%}$ of 20 is 4.

Note: We can check the percentage which we are getting by substituting the value of x ass that percentage in the following relation:
 $\Rightarrow {\displaystyle \frac{x}{100}}\times 20=4$
Substituting the value of x as 20 in the above equation we get,
$\Rightarrow {\displaystyle \frac{20}{100}}\times 20=4$
In the L.H.S of the above equation, two zeros will be cancelled out in the numerator and the denominator and we get,
$4=4$