2 is what percent of 200
The Correct Answer and Explanation is:
To determine what percent 2 is of 200, you can use the formula for calculating percentage:
[
\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100
]
In this case, the part is 2, and the whole is 200. Now, substitute these values into the formula:
[
\text{Percentage} = \left( \frac{2}{200} \right) \times 100
]
First, divide 2 by 200:
[
\frac{2}{200} = 0.01
]
Now, multiply by 100 to convert the decimal into a percentage:
[
0.01 \times 100 = 1\%
]
So, 2 is 1% of 200.
Explanation:
This calculation shows how percentages represent a part of a whole. The percentage formula (\frac{\text{Part}}{\text{Whole}} \times 100) allows you to express one number as a fraction of another number and convert that fraction into a percentage.
In this case, you are trying to find what portion of 200 is represented by the number 2. By dividing 2 by 200, you get the decimal 0.01, which means that 2 is 0.01 of 200. To express this value as a percentage, you multiply by 100, which shifts the decimal two places to the right, giving you 1%. This is the percentage representation of 2 relative to 200.
This method is used in many real-world situations, such as calculating discounts, tax rates, and population statistics, where a quantity needs to be expressed as a portion of a total. Understanding how to calculate percentages is a valuable skill in fields ranging from finance to science and everyday life.