Find the value: 2 percent of 3000
The Correct Answer and Explanation is:
To find 2 percent of 3000, you can use the formula for calculating a percentage:
[
\text{Percentage Value} = \left(\frac{\text{Percentage}}{100}\right) \times \text{Total}
]
In this case, the percentage is 2, and the total is 3000. Substituting these values into the formula:
[
\text{Percentage Value} = \left(\frac{2}{100}\right) \times 3000
]
This simplifies to:
[
\text{Percentage Value} = 0.02 \times 3000
]
Now, calculating this gives:
[
\text{Percentage Value} = 60
]
Thus, 2 percent of 3000 is 60.
Explanation
Calculating percentages is a fundamental skill that is useful in various contexts, including finance, statistics, and everyday life. The concept of percentage means “per hundred,” so when we say “2 percent,” we are essentially referring to 2 out of every 100 parts of a whole.
The formula we used, (\left(\frac{\text{Percentage}}{100}\right) \times \text{Total}), breaks down the process into manageable steps. First, we convert the percentage to a decimal by dividing it by 100. This transformation is crucial because it allows for straightforward multiplication with the total amount.
In this example, by converting 2 percent into its decimal form, we got 0.02. Multiplying this decimal by 3000 gives us the actual value represented by 2 percent of that total. The multiplication operation allows us to scale the total down to the specific portion that corresponds to the percentage.
Understanding how to find a percentage is particularly important in financial contexts, such as calculating sales tax, discounts, and interest rates. For example, if an item costs 3000 and is on sale for 2 percent off, knowing that the discount is 60 allows the buyer to make informed purchasing decisions.
In summary, to find 2 percent of 3000, we followed a clear mathematical procedure, yielding a result of 60. This calculation not only demonstrates the use of percentages but also exemplifies how such calculations can be applied in practical scenarios.