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84 Is 60% of What Number?

Have you ever come across a situation where you need to find out what number 84 is 60% of? If so, you are not alone. Many people struggle with calculating percentages and determining the value of a specific percentage of a given number. In this article, we will delve into the topic of finding out what number 84 is 60% of and explore various methods to solve this problem. Additionally, we will address some frequently asked questions related to percentages and their calculations.

Understanding Percentages:

Before we dive into finding the number that 84 is 60% of, let’s first ensure we understand the concept of percentages. A percentage is a way of expressing a fraction or a ratio as a portion of 100. It is denoted by the symbol “%”. Percentages are commonly used in everyday life, such as when calculating discounts, interest rates, or determining proportions.

Calculating What Number 84 Is 60% Of:

To find out what number 84 is 60% of, we can use a simple formula. In this case, the formula can be written as:

Number = (Percentage / 100) × Value

Now, let’s substitute the given values into the formula:

Number = (60 / 100) × Value

Number = 0.6 × Value

To find the value, we can rearrange the formula:

Value = Number / 0.6

Now, let’s plug in the value of Number, which is 84, into the formula:

Value = 84 / 0.6

Value = 140

Therefore, 84 is 60% of 140.

Alternative Method:

Another way to find the number that 84 is 60% of is by setting up a proportion. A proportion is an equation that states that two ratios are equal. In this case, we can write the proportion as:

84 / x = 60 / 100

To solve for x, we can cross-multiply:

84 × 100 = 60 × x

8400 = 60x

Dividing both sides by 60:

x = 8400 / 60

x = 140

Hence, the number that 84 is 60% of is 140.

FAQs:

Q: What is a percentage?

A: A percentage is a way of expressing a fraction or a ratio as a portion of 100. It is denoted by the symbol “%”.

Q: How do I calculate a percentage?

A: To calculate a percentage, divide the part by the whole and multiply the result by 100.

Q: Can percentages be greater than 100?

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

Q: How do I find what number a percentage represents?

A: To find what number a percentage represents, use the formula: Number = (Percentage / 100) × Value.

Q: Can I use a calculator to find percentages?

A: Yes, calculators can be used to find percentages. Most calculators have a percentage button or function that simplifies the calculation.

Q: Are there other methods to find the value of a percentage?

A: Yes, apart from the methods mentioned in this article, there are other methods such as using a proportion or converting the percentage to a decimal and multiplying it by the value.

In conclusion, finding out what number 84 is 60% of can be solved using various methods, including the formula method and the proportion method. Understanding percentages and their calculations is essential in many real-life situations. By grasping the concepts discussed in this article, you will be better equipped to solve similar percentage-related problems in the future.

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