What percent of 5 is 7?
A. 14%
B. 35%
C. 71%
D. 140%
E. 157%
The Correct Answer and Explanation is:
To find what percent of 5 is 7, we need to use the formula for percentage calculation:
[
\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100
]
In this case:
- The part is 7 (the value we want to know what percentage it is of 5).
- The whole is 5 (the number we are trying to find the percentage of).
Plugging the numbers into the formula:
[
\text{Percentage} = \left( \frac{7}{5} \right) \times 100
]
Now, divide 7 by 5:
[
\frac{7}{5} = 1.4
]
Next, multiply by 100 to convert it into a percentage:
[
1.4 \times 100 = 140
]
So, 7 is 140% of 5.
Explanation:
This problem involves finding what percentage 7 is in relation to 5. The key idea is that percentages are a way of comparing a part to a whole by multiplying the ratio by 100. When the part (7) is larger than the whole (5), the percentage will be greater than 100%.
To understand why the answer is 140%, consider that 100% represents the whole amount (5 in this case). If 7 is exactly the same as 5, it would be 100%. But since 7 is larger than 5, the percentage must exceed 100%. Specifically, it is 1.4 times as large as 5, which is equivalent to 140%.
Thus, the correct answer is D. 140%.