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.
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
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.
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.