162 is what percent of 200
The Correct Answer and Explanation is :
To find what percent 162 is of 200, we can use the basic formula for calculating percentages:
[
\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100
]
Here:
- The Part is 162.
- The Whole is 200.
Substituting these values into the formula:
[
\text{Percentage} = \left( \frac{162}{200} \right) \times 100
]
First, divide 162 by 200:
[
\frac{162}{200} = 0.81
]
Now multiply by 100 to convert this decimal into a percentage:
[
0.81 \times 100 = 81\%
]
So, 162 is 81% of 200.
Explanation
To understand this concept, let’s break down the problem and how percentages work.
A percentage is essentially a way of expressing a number as a fraction of 100. In other words, when we say 50%, we mean 50 out of every 100 parts. The term “percent” itself comes from the Latin word “per centum,” meaning “by the hundred.” To calculate what percent one number is of another, you first divide the part (the number you are interested in) by the whole (the total amount) to get a fraction. Then, you multiply the fraction by 100 to convert it into a percentage.
In our example, 162 is the part, and 200 is the whole. By dividing 162 by 200, you are essentially finding how much of 200 is represented by 162. After converting this fraction into a percentage, you find that 162 is 81% of 200.
This kind of calculation is useful in many real-life situations, such as calculating discounts, determining the success rate of an experiment, or understanding sales data. The process allows you to compare quantities in a standardized way, using percentages to express relative values.