What percent is 30 out of 200?
The correct Answer and Explanation is:
To calculate the percentage for 30 out of 200, use the formula:
[
\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100
]
In this case, the part is 30 and the whole is 200:
[
\text{Percentage} = \left( \frac{30}{200} \right) \times 100 = 15\%
]
Explanation:
To understand how to calculate percentages, it helps to break the process down. Percentages represent a part of a whole, expressed in terms of 100. The word “percent” itself means “per hundred.” For example, if you say something is 15%, it means 15 out of 100.
In this problem, we want to figure out what percentage 30 is of 200. The formula to calculate percentages is:
[
\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100
]
This formula converts a fraction into a percentage. The numerator (top part) is the “part” you’re concerned with—in this case, 30. The denominator (bottom part) is the “whole”—in this case, 200.
Step-by-Step Breakdown:
- Divide the part by the whole:
- 30 ÷ 200 = 0.15. This gives you a decimal that represents the fraction of 30 out of 200.
- Convert to a percentage:
- Multiply 0.15 by 100 to get the percentage:
- 0.15 × 100 = 15%.
Why It Works:
Dividing gives us the ratio of the part to the whole, showing how much of the whole is represented by the part. Multiplying by 100 scales this ratio into a percentage, which is easier to interpret.
So, 30 out of 200 equals 15%, meaning that 30 is 15% of 200. Understanding percentages is essential in various fields such as finance, health, and education, where you often need to evaluate parts of a total.