What is 6 out of 120 expressed as a percentage
The Correct Answer and Explanation is:
To express 6 out of 120 as a percentage, follow these steps:
Step 1: Set up the equation
The basic formula to convert a fraction into a percentage is:
[
\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100
]
In this case:
- The part is 6.
- The whole is 120.
Step 2: Perform the division
First, divide 6 by 120:
[
\frac{6}{120} = 0.05
]
Step 3: Convert to a percentage
Now, multiply the result by 100 to convert it into a percentage:
[
0.05 \times 100 = 5
]
Final Answer:
Thus, 6 out of 120 expressed as a percentage is 5%.
Detailed Explanation:
To understand this concept more deeply, let’s break down the steps.
When converting a part of something into a percentage, we need to understand what a percentage represents. A percentage is a way of expressing a number as a fraction of 100. This makes it easier to compare different quantities that are parts of a whole.
In the example of 6 out of 120, you are essentially finding what fraction of the total (120) the number 6 represents.
By dividing 6 by 120, you get 0.05, which tells you that 6 is 5% of 120. Multiplying by 100 moves the decimal point two places to the right, thus converting it to a percentage.
This process of converting fractions into percentages is widely used in many fields, such as in determining grades, calculating interest rates, or analyzing statistics. Expressing numbers as percentages makes it easier to understand the proportion or relationship between numbers in a way that is universally standardized.
In practical terms, when you see 5%, it means that 6 is a small part (5%) of 120. Percentages help in making quick comparisons between different parts of a whole, whether it’s in academics, finances, or day-to-day life.