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What is 18% of 300?
The Correct Answer and Explanation is:
To calculate 18% of 300, we can use the following steps:
- Understanding Percentages: A percentage is a way to express a number as a fraction of 100. In this case, 18% means 18 out of 100. When we want to find a certain percentage of a number, we multiply that number by the percentage expressed as a decimal.
- Converting Percentage to Decimal: To convert 18% into decimal form, we divide it by 100:
[
18\% = \frac{18}{100} = 0.18
] - Multiplying by the Total Amount: Now that we have the decimal equivalent, we can calculate 18% of 300 by multiplying:
[
0.18 \times 300
] - Performing the Calculation:
[
0.18 \times 300 = 54
]
Therefore, 18% of 300 is 54.
Explanation
Understanding how to calculate percentages is crucial in various real-life applications, from financial decisions to academic assessments. The calculation of a percentage involves breaking down the total into manageable parts.
In this example, when we refer to 18% of 300, we are looking for a portion of 300 that corresponds to 18 parts out of every 100 parts. This method allows us to make comparisons and understand proportions effectively.
Calculating percentages can be particularly useful in contexts like sales tax, discounts, or determining grades. For instance, if you purchase an item costing $300 and there’s an 18% discount, knowing how to find that percentage quickly helps you make informed decisions about your finances.
Furthermore, understanding percentages is foundational in mathematics. It builds skills that are applied in algebra, statistics, and everyday calculations. Mastering these concepts early on can help individuals navigate various challenges, whether in personal finance, health metrics, or academic performance.
In summary, to find 18% of 300, we converted the percentage to a decimal and multiplied it by the total amount, resulting in 54, illustrating both the mathematical process and its practical relevance.