Understanding 15% of 165
Introduction
When faced with a mathematical problem or equation, it’s essential to break it down and understand each component individually. In this article, we will explore the meaning and calculation of 15% of 165. By the end, you will have a clear understanding of how to determine this percentage and apply it in various scenarios.
What is a Percentage?
Before we delve into the calculation, let’s refresh our understanding of percentages. A percentage is a fraction expressed as a portion of 100. It is often denoted with the symbol “%.” Percentages are a way to compare quantities, express ratios, and determine proportions in various fields, including mathematics, science, finance, and everyday life.
Calculating 15% of 165
To calculate 15% of 165, we follow a straightforward formula:
Step 1: Convert 15% to decimal form by dividing it by 100.
15 ÷ 100 = 0.15
Step 2: Multiply the decimal form obtained in Step 1 by 165.
0.15 × 165 = 24.75
Therefore, 15% of 165 is equal to 24.75. This means that if we were to take 15% of the quantity 165, the result would be 24.75.
Understanding The Result
The result obtained, 24.75, represents the 15% portion of the total quantity of 165. In other words, if we were to divide 165 into 100 equal parts, each part would have a value of 1.65 (165 ÷ 100 = 1.65).
As we are interested in 15% of 165, we multiply this value by 15, which gives us 24.75 (1.65 × 15 = 24.75). Hence, 15% of 165 represents 24.75 or 24.75 parts of the total quantity.
Applications and Examples
Knowing how to calculate a percentage efficiently can come in handy in various situations. Here are a few examples:
1. Discounts: Suppose you are
shopping and find an item that costs $165, but it’s on sale with a discount of 15%. By applying the formula we discussed earlier, you can determine that the discount amount would be $24.75 (15% of 165). Hence, you would pay $165 – $24.75 = $140.25 for the item.
2. Taxes: Understanding percentages is essential when dealing with taxes. If a sales tax rate is 15% on a purchase of $165, you can calculate the tax amount by finding 15% of 165, which is $24.75. Thus, you would need to pay $165 + $24.75 = $189.75, including taxes.
Conclusion
Understanding percentages is fundamental in many areas of life, including mathematics, finance, and everyday situations. Knowing how to calculate a percentage, such as 15% of 165, allows us to apply this knowledge in various scenarios, from
shopping discounts to determining tax amounts. By following the simple formula and breaking down the calculation, we can calculate percentages effortlessly. Remember that percentages are a powerful tool for comparing quantities and expressing proportions, and they can greatly enhance your problem-solving skills.
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