18 out of 20 is what percentage
The Correct Answer and Explanation is:
To calculate what percentage 18 out of 20 represents, use the percentage formula:Percentage=(PartWhole)×100\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100Percentage=(WholePart)×100
In this case:Percentage=(1820)×100=0.9×100=90%\text{Percentage} = \left( \frac{18}{20} \right) \times 100 = 0.9 \times 100 = 90\%Percentage=(2018)×100=0.9×100=90%
So, 18 out of 20 is 90 percent.
Explanation (300 words):
Percentage is a mathematical concept used to express a number as a fraction of 100. It helps compare values on a common scale, regardless of their actual size. When trying to find what percentage one number is of another, the process involves dividing the part by the whole and multiplying by 100.
In this situation, 18 is the part and 20 is the whole. This means the question is asking, “What percent is 18 when compared to 20?” The fraction 18 divided by 20 gives 0.9. This result is a decimal. To convert a decimal to a percentage, multiply it by 100. So, 0.9 multiplied by 100 gives 90. Therefore, 18 is 90 percent of 20.
Percentages are widely used in daily life. For instance, in school grades, getting 18 correct answers out of 20 often means a 90 percent score, which is typically considered excellent. In business, percentages help in understanding profit margins, discounts, and interest rates. In health, they may represent things like oxygen saturation or the percentage of a recommended daily nutrient intake.
It is also helpful to think in terms of proportional reasoning. If 20 represents the full amount or total possible value, then 10 percent of it would be 2. So, 90 percent of 20 should logically be 18, since 9 times 2 equals 18.
This method of calculating percentages can be applied to any situation where there is a part of a whole and a need to express it as a percent. Understanding how to use this calculation strengthens problem-solving skills and promotes accuracy in real-world applications.
