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72 Is 18% of What Number?

Have you ever come across a math problem that leaves you scratching your head? If you’ve ever wondered what number 72 is 18% of, you’re not alone. This seemingly simple question can be a bit tricky to solve, especially if you’re not familiar with percentage calculations. In this article, we’ll break down the problem and guide you through the steps to find the answer. So, let’s dive in!

Understanding Percentages

Before we tackle the problem at hand, let’s briefly discuss percentages. A percentage is a way to express a fraction or a portion of a whole as a number out of 100. The symbol “%” represents a percentage. For example, 50% means 50 out of 100, or half of something.

Now, let’s move on to the main question: What number is 72 18% of?

Step-by-Step Solution

To find the number that 72 is 18% of, we can use a simple formula:

Part/Whole = Percentage/100

We know that 72 is the part (18% of something) and we want to find the whole number. We can rewrite the formula as follows:

72/Whole = 18/100

To solve for the whole number, we cross-multiply:

(72 * 100) = (18 * Whole)

7200 = 18 * Whole

Now, divide both sides of the equation by 18:

7200/18 = Whole

The calculation gives us a whole number of 400. Therefore, 72 is 18% of 400.

FAQs:

Q: How did you come up with the formula Part/Whole = Percentage/100?

A: The formula is derived from the concept of percentages. Percentages represent a fraction of a whole, and the formula helps us find the missing part or whole based on the given percentage.

Q: Why did you cross-multiply during the calculation?

A: Cross-multiplication helps us solve for the unknown variable (in this case, the whole number) when we have a proportion equation. It simplifies the equation by eliminating fractions.

Q: Can this formula be used for other percentage calculations?

A: Yes, the formula Part/Whole = Percentage/100 can be used to solve a wide range of percentage problems. It is a versatile tool that can be applied to various scenarios.

Q: Is there an alternative method to solve this problem?

A: Yes, there is another approach. We can use the formula Whole = Part / (Percentage/100). Applying this formula to our problem, we can calculate Whole = 72 / (18/100) = 72 / 0.18 = 400.

Q: Can percentages be greater than 100%?

A: Yes, percentages can exceed 100%. Percentages greater than 100% indicate that the part is larger than the whole.

Q: How are percentages used in real-life situations?

A: Percentages are widely used in various fields, including finance, statistics, and everyday calculations. They help us compare quantities, express discounts, calculate interest rates, and analyze data.

In conclusion, determining what number 72 is 18% of may initially seem challenging, but with a basic understanding of percentages and the right formula, we can easily find the solution. Remember, the formula Part/Whole = Percentage/100 is a useful tool for solving percentage problems. So, the next time you encounter a similar math problem, you’ll be well-equipped to find the answer.

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