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9 is 75% of what number? This is a common question that many people encounter when dealing with percentages and calculations. In this article, we will delve into the concept of percentages, explain how to solve for the unknown number, and provide a step-by-step guide to finding the answer. Additionally, we will include a FAQs section to address common queries related to this topic.
Understanding Percentages:
Before we delve into solving the equation, it is essential to have a clear understanding of percentages. A percentage is a way to express a fraction or a proportion out of 100. It is denoted by the symbol “%”. Percentages are commonly used in various real-life scenarios, including discounts, taxes, interest rates, and statistics.
Solving for the Unknown Number:
To find the unknown number when given a percentage, we can use a simple formula:
Unknown number = (Percentage / 100) * Total number
In this case, we are given that 9 is 75% of a certain number. Let’s denote this unknown number as “x”. Applying the formula, we can express this equation as:
x = (75 / 100) * 9
Simplifying further, we have:
x = 0.75 * 9
Calculating the equation, we find:
x = 6.75
Therefore, the unknown number is 6.75.
Step-by-Step Guide to Finding the Answer:
To provide a clear understanding, let’s go through the step-by-step process of finding the unknown number.
Step 1: Write down the given information.
In this case, we are given that 9 is 75% of a certain number.
Step 2: Set up the equation.
Using the formula mentioned earlier:
x = (Percentage / 100) * Total number
Substituting the given values:
x = (75 / 100) * 9
Step 3: Simplify the equation.
Multiply 75 by 9 and divide it by 100:
x = 6.75
Step 4: Solve for the unknown number.
The unknown number is 6.75.
FAQs:
Q1: What is the meaning of “75% of a number”?
A1: When we say “75% of a number,” it means that we are trying to find a particular value that is equal to 75% (or three-fourths) of the given number.
Q2: Can I solve this equation using a calculator?
A2: Yes, you can use a calculator to calculate the result quickly. However, understanding the underlying formula and the steps involved will help you in various scenarios where a calculator may not be handy.
Q3: How can I check if my answer is correct?
A3: To check your answer, multiply the unknown number you found by 75% (or 0.75). If the product is equal to 9, then your answer is correct.
Q4: Can this formula be used for other percentages as well?
A4: Yes, the formula mentioned in this article can be used to find any unknown number when given a percentage. Simply substitute the given percentage and the corresponding value in the equation and solve accordingly.
Q5: Are there any practical applications of this concept?
A5: Yes, percentages are widely used in various fields, such as finance, business, and statistics. Understanding how to calculate percentages helps in determining discounts, interest rates, tax amounts, and analyzing data.
In conclusion, finding the unknown number when given a percentage is a straightforward process once you understand the underlying formula and the steps involved. By following the step-by-step guide provided in this article, you can easily solve the equation “9 is 75% of what number?” Additionally, the FAQs section addresses common queries related to this topic, ensuring a comprehensive understanding of the concept.
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