What’s % of 500 = 90
The Correct Answer and Explanation is:
To find what percentage 90 is of 500, we can use the formula for percentage:
[
\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100
]
In this case, the “Part” is 90, and the “Whole” is 500. Plugging the values into the formula gives us:
[
\text{Percentage} = \left( \frac{90}{500} \right) \times 100
]
Calculating this step-by-step:
- First, divide 90 by 500:
[
\frac{90}{500} = 0.18
] - Next, multiply by 100 to convert the decimal to a percentage:
[
0.18 \times 100 = 18
]
Thus, (90) is (18\%) of (500).
Explanation
Understanding percentages is crucial in various fields, including finance, statistics, and everyday decision-making. A percentage represents a part of a whole expressed in hundredths. In this case, we sought to determine how much 90 represents in relation to 500.
Using the formula for calculating percentages is a straightforward method. We start with identifying our part (90) and our whole (500). By dividing the part by the whole, we find the proportion that the part makes up. This fraction gives a decimal, which we then convert into a percentage by multiplying by 100.
In practical terms, this calculation can help in understanding discounts, evaluating performance metrics, or assessing data in research. For instance, if a student scores 90 out of 500 points in a test, knowing that they achieved 18% of the total possible points can help them evaluate their performance. Similarly, businesses often use percentages to determine market shares, profit margins, or growth rates, making the understanding of this concept applicable in real-life scenarios.
Thus, mastering how to calculate percentages is not just an academic exercise; it is a vital skill that enhances our ability to make informed decisions.