What is 70 out of 200 as a percentage?
The Correct Answer and Explanation is :
The correct answer is: 35%
To calculate 70 out of 200 as a percentage, follow these steps:
- Formula:
[
\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100
]
In this case, the part is 70 and the whole is 200. - Calculation:
[
\text{Percentage} = \left( \frac{70}{200} \right) \times 100 = 0.35 \times 100 = 35\%
]
Therefore, 70 out of 200 is 35%.
Detailed Explanation:
Percentages are a way of expressing a number as a fraction of 100. The word “percent” comes from the Latin “per centum,” meaning “by the hundred.” In any percentage problem, the whole amount is considered 100%, and the part you’re comparing to the whole is a portion of that 100%.
In this example, you are asked to find what percentage 70 is of 200. To convert a fraction into a percentage, divide the part (70) by the whole (200). The result gives you a decimal, 0.35 in this case, which represents the fraction of the whole. Multiplying this by 100 converts the decimal to a percentage.
This method can be applied in various contexts, such as understanding scores on exams, financial ratios, or other measurements where it’s useful to compare a part to a whole. For instance, if a student scores 70 points out of a possible 200 on a test, they achieved 35% of the total points. Similarly, in a budgeting scenario, spending $70 out of a $200 budget would mean that 35% of the budget has been used.
Understanding how to calculate percentages is crucial for everyday tasks, from interpreting data to making informed decisions in personal and professional settings.