364 is what percentage of 455 ?

Question

Accepted Answer

To determine what percentage 364 is of 455, we use the formula for percentage calculation:

$$
\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100
$$

In this case, the "Part" is 364 and the "Whole" is 455. Plugging these values into the formula gives:

$$
\text{Percentage} = \left( \frac{364}{455} \right) \times 100
$$

Calculating the division:

$$
\frac{364}{455} \approx 0.8
$$

Multiplying by 100 to convert to a percentage:

$$
0.8 \times 100 = 80\%
$$

Thus, 364 is approximately 80% of 455, which corresponds to Option 3.

**Explanation for why each option is incorrect:**

1. **Option 1 (0.75):** If 364 were 75% of 455, then $\frac{364}{455}$ would equal 0.75. However, as calculated, $\frac{364}{455} \approx 0.8$, not 0.75. Therefore, Option 1 is incorrect.

2. **Option 2 (0.6):** If 364 were 60% of 455, then $\frac{364}{455}$ would equal 0.6. The actual calculation shows $\frac{364}{455} \approx 0.8$, not 0.6. Thus, Option 2 is incorrect.

3. **Option 4 (0.58):** If 364 were 58% of 455, then $\frac{364}{455}$ would equal 0.58. The calculation shows $\frac{364}{455} \approx 0.8$, not 0.58. Hence, Option 4 is incorrect.

Therefore, based on the calculations and logical reasoning, Option 3 is indeed the correct answer, as 364 is approximately 80% of 455.