What is 27 out of 30 in a percentage?
The Correct Answer and Explanation is :
To find out what 27 out of 30 is in percentage form, you can use the formula for calculating percentage:
[
\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100
]
In this case, the “Part” is 27, and the “Whole” is 30. Plugging the numbers into the formula gives:
[
\text{Percentage} = \left( \frac{27}{30} \right) \times 100
]
Calculating the fraction:
[
\frac{27}{30} = 0.9
]
Now, multiplying by 100:
[
0.9 \times 100 = 90
]
Therefore, 27 out of 30 is 90%.
Explanation
Understanding percentages is crucial in various aspects of daily life, including finance, academics, and statistics. A percentage represents a portion of a whole, expressed as a fraction of 100. In our example, we are determining how much 27 is in relation to 30 and expressing that relationship as a percentage.
- Context of the Calculation: Suppose you take a test with 30 questions and correctly answer 27 of them. To evaluate your performance, it is helpful to convert the raw score into a percentage. This makes it easier to compare results, set goals, and understand performance in a standardized way.
- Importance of Percentages: Percentages allow us to easily compare different quantities and assess performance. For example, knowing that scoring 27 out of 30 results in 90% provides a clear understanding of achievement without needing to reference the actual number of questions.
- Applications: Beyond academics, percentages are widely used in finance (like interest rates), healthcare (percentages of patients responding to treatment), and marketing (conversion rates). Learning to convert fractions into percentages is a foundational skill that facilitates decision-making and analysis across numerous fields.
In conclusion, converting 27 out of 30 into a percentage shows a performance level of 90%, which can be a significant indicator of success in various contexts.