What percent of 300 is 90.
The Correct Answer and Explanation is :
To find what percent of 300 is 90, we use the formula for calculating percentages:
[
\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100
]
In this case:
- Part = 90
- Whole = 300
Substitute these values into the formula:
[
\text{Percentage} = \left( \frac{90}{300} \right) \times 100
]
First, divide 90 by 300:
[
\frac{90}{300} = 0.3
]
Now multiply by 100 to convert the decimal to a percentage:
[
0.3 \times 100 = 30
]
So, 90 is 30% of 300.
Explanation in Detail:
To understand this concept fully, let’s break it down:
- The Concept of Percentages: A percentage is simply a way to express a number as a fraction of 100. For example, when we say “30%,” we are really saying “30 out of 100.” The word “percent” itself comes from Latin, meaning “by the hundred.” It’s a way to compare quantities on a common scale.
- The Formula: The formula (\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100) is a mathematical tool that helps convert a part of a number (the “Part”) into a percentage based on the whole number (the “Whole”). It gives you a clear picture of how much the part represents out of 100 parts, making it easy to compare and understand.
- Why This Works: By dividing the part (90) by the whole (300), you find the proportion of 300 that 90 represents. Multiplying by 100 then scales that proportion to a percentage. This is helpful when comparing different amounts in relative terms rather than absolute terms.
Thus, 90 is 30% of 300 because 90 is 30 out of every 100 when 300 is the total amount.