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Determine the percentage of 60 that equals 38.4.

Answer :

We want to find what percentage of [tex]$60$[/tex] equals [tex]$38.4$[/tex]. To do this, follow these steps:

1. Let [tex]$x$[/tex] be the unknown percentage. Then, we have:
[tex]$$\frac{x}{100} \times 60 = 38.4.$$[/tex]

2. To isolate [tex]$\frac{x}{100}$[/tex], divide both sides by [tex]$60$[/tex]:
[tex]$$\frac{x}{100} = \frac{38.4}{60}.$$[/tex]

3. Compute the fraction:
[tex]$$\frac{38.4}{60} = 0.64.$$[/tex]

4. Now, convert the decimal back to a percentage by multiplying by [tex]$100$[/tex]:
[tex]$$x = 0.64 \times 100 = 64.$$[/tex]

Thus, [tex]$38.4$[/tex] is [tex]$64\%$[/tex] of [tex]$60$[/tex].

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