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7 is 20 Percent of What Number?

When faced with a percentage problem such as “7 is 20 percent of what number,” it can be challenging to determine the unknown value. However, with a basic understanding of percentages and some simple calculations, you can easily find the solution. In this article, we will explore the concept of percentages, provide step-by-step instructions on how to solve this problem, and answer some frequently asked questions to clarify any doubts you may have.

Understanding Percentages:

Before diving into the problem at hand, it’s crucial to understand what percentages represent. A percentage is a way of expressing a portion or a fraction of a whole value. It is denoted by the symbol “%.” For instance, if you have 50% of a pizza, it means you have half of the pizza, which is equivalent to 0.5 in decimal form.

Solving the Problem:

To find the number when given a percentage, you can set up a proportion. In this case, we are given that 7 is 20 percent of an unknown number. Let’s call this number “x.” The proportion can be set up as follows:

7 / x = 20 / 100

To solve this proportion, we need to cross multiply:

7 * 100 = 20 * x

Simplifying further:

700 = 20x

Now, isolate the variable by dividing both sides of the equation by 20:

700 / 20 = x

x = 35

Therefore, 7 is 20 percent of 35.

FAQs:

Q1: How did you set up the proportion?

A1: When given a percentage, you can set up a proportion by equating the given percentage to the corresponding fraction. In this case, 20 percent is equivalent to 20/100 or 0.2 in decimal form. By setting up the proportion, we can solve for the unknown number.

Q2: Can I use other methods to solve this problem?

A2: Yes, there are alternative methods to find the unknown number. One such method is multiplying the known number by the reciprocal of the percentage. In this case, you would multiply 7 by 100/20, which also yields the answer of 35.

Q3: What if the percentage is a fraction rather than a whole number?

A3: Percentages can be expressed as fractions as well. For example, if the given percentage is 1/4, you can convert it to a decimal by dividing the numerator (1) by the denominator (4) to get 0.25. Then, follow the same steps outlined above to solve the problem.

Q4: Can I solve this problem using a calculator?

A4: While a calculator can certainly help with the calculations, it’s essential to understand the underlying concepts and steps involved in finding the unknown number. Relying solely on a calculator may hinder your ability to grasp the fundamentals of percentages.

Q5: How can I check if my answer is correct?

A5: To verify your answer, you can calculate what percentage the known number is of the unknown number. In this case, divide 7 by 35 and multiply by 100. The result should be 20%, confirming that your answer is correct.

In conclusion, finding the unknown number when given a percentage can be accomplished by setting up a proportion and solving for the variable. By understanding the fundamentals of percentages and following the step-by-step instructions provided, you can easily determine that 7 is 20 percent of 35. Remember to practice these concepts regularly to strengthen your skills in percentage calculations.

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