College

Find the value of [tex]x[/tex] that satisfies the equation [tex]\frac{x}{100} \times 60 = 38.4[/tex].

Answer :

We are given that a certain percentage of 60 is 38.4. To find this percentage, we can set up the equation as follows:

1. Let the unknown percentage in decimal form be [tex]$x$[/tex]. Then, the relationship is given by
[tex]$$
x \times 60 = 38.4.
$$[/tex]

2. Solve for [tex]$x$[/tex] by dividing both sides by 60:
[tex]$$
x = \frac{38.4}{60} = 0.64.
$$[/tex]

3. Since [tex]$x$[/tex] is the decimal equivalent of the percentage, multiply by 100 to convert it to a percentage:
[tex]$$
\text{Percentage} = 0.64 \times 100 = 64\%.
$$[/tex]

Thus, 64% of 60 is 38.4.