Question

What percentage is 142-58

Answer 1

SOLUTION:

Step 1 :

In this question, we are meant to find what percent of 142 is 58.

Step 2 :

We make the assumption that 142 is 100 % since it is our output value.

Step 3:

We next represent the value we see with x.

Step 4 :

From step 2, it follows that 100 % = 142.

Step 5 :

In the same vein, x % = 58.

Step 6 :

This gives us a pair of simple equations:

$\begin{gathered} 100\text{ \% = 142 ---- equ 1} \\ x\text{ \% = 58 }\ldots\ldots\ldots\ldots\text{ equ 2} \end{gathered}$

Step 7 :

By simply dividing equation 1 by equation 2 and

taking note of the fact that the Left-Hand Side of both equations have the same unit ( % ), we have that :

$\frac{100\text{ \%}}{x\text{ \%}}\text{ = }\frac{142}{58}$

Step 8 :

Taking the inverse ( or reciprocal ) of both sides yields:

$\frac{x\text{ \%}}{100\text{ \%}}\text{ = }\frac{58}{142}$$\begin{gathered} x\text{ = }\frac{58\text{ x 100}}{142} \\ \text{x = }\frac{5800}{142} \\ x\text{ = 40.85\%} \end{gathered}$

CONCLUSION:

Therefore, 58 is 40.85 % of 142.