To find what percent of one quantity is another quantity, we can use the formula:
[ \text{Percent} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100 ]
In this case, we want to find what percent of (\frac{5}{8}) is (\frac{8}{5}).
First, we need to find the part and the whole. The part is (\frac{8}{5}) and the whole is (\frac{5}{8}).
Plugging these values into the formula, we get:
[ \text{Percent} = \left( \frac{\frac{8}{5}}{\frac{5}{8}} \right) \times 100 ]
Simplifying the expression inside the parentheses, we have:
[ \left( \frac{8}{5} \times \frac{8}{5} \right) \times 100 ]
Multiplying the fractions, we get:
[ \left( \frac{64}{25} \right) \times 100 ]
Dividing 64 by 25 and multiplying by 100, we find that the percent is:
[ \text{Percent} = \frac{64}{25} \times 100 = 256 ]
Therefore, the correct answer is B) 256.