18 out of 20 is what percentage

18 out of 20 is what percentage

The Correct Answer and Explanation is :

To find what percentage 18 out of 20 represents, you can use the formula for percentage, which is:

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

In this case, the “Part” is 18, and the “Whole” is 20. Plugging these numbers into the formula, we get:

[
\text{Percentage} = \left( \frac{18}{20} \right) \times 100
]

First, divide 18 by 20:

[
\frac{18}{20} = 0.9
]

Next, multiply by 100 to convert the decimal to a percentage:

[
0.9 \times 100 = 90
]

Therefore, 18 out of 20 is 90%.

Explanation

Calculating percentages is a common task in various fields, including academics, business, and everyday life. A percentage represents a portion of a whole expressed as a fraction of 100. In this case, we have a straightforward scenario: determining how well something has been done based on a total score.

Using the formula, we first identify the “Part” (18) and the “Whole” (20). The division gives us a decimal, which indicates the ratio of the part to the whole. By converting this decimal to a percentage (by multiplying by 100), we obtain a more intuitive understanding of how much of the whole is represented by the part.

Percentages can help in evaluating performance, understanding data, or making decisions. For instance, in educational settings, scoring 90% might reflect an excellent understanding of the material. In business, knowing that 90% of customers are satisfied could inform strategic decisions regarding product improvements or customer service enhancements.

Overall, understanding how to calculate and interpret percentages is essential for analyzing data and making informed decisions across various contexts.