Calculating the Percentage

Oct 13, 2025 by magicalceylontours.com 24 views

Understanding the Problem

To find $$135%$$ of $$62$$, we need to first understand what the percentage sign means. The percentage sign, denoted by a percent sign (%), is a symbol used to express a value as a fraction of $$100$$. In this case, we are looking for $$135%$$ of $$62$$, which means we need to find $$135%$$ of $$62$$ as a decimal.

Calculating the Percentage

To calculate the percentage, we need to convert the percentage to a decimal by dividing it by $$100$$. So, $$135%$$ can be written as $$\frac{135}{100}$$ or $$1.35$$ as a decimal.

Finding the Answer

Now that we have the decimal equivalent of $$135%$$, we can find $$135%$$ of $$62$$ by multiplying $$62$$ by $$1.35$$. This can be calculated as follows:

62 \times 1.35 = 83.7

Conclusion

Therefore, $$135%$$ of $$62$$ is $$83.7$$.

Why is this Important?

Understanding percentages and how to calculate them is an essential skill in mathematics and real-life applications. Percentages are used to express a value as a fraction of $$100$$ and are commonly used in finance, economics, and other fields.

Real-Life Applications

Percentages are used in various real-life applications, such as:

Calculating interest rates on loans and savings accounts
Determining the cost of goods and services
Expressing the percentage of a population that has a certain characteristic
Calculating the percentage of a group that has a certain skill or trait

Tips and Tricks

When calculating percentages, make sure to convert the percentage to a decimal by dividing it by $$100$$.
When multiplying a number by a percentage, make sure to multiply the number by the decimal equivalent of the percentage.
When dividing a number by a percentage, make sure to divide the number by the decimal equivalent of the percentage.

Common Mistakes

Forgetting to convert the percentage to a decimal before calculating
Multiplying or dividing the number by the percentage sign instead of the decimal equivalent
Not checking the units of the answer to ensure it matches the units of the problem

Conclusion

In conclusion, calculating $$135%$$ of $$62$$ is a simple process that involves converting the percentage to a decimal and then multiplying the number by the decimal equivalent. Understanding percentages and how to calculate them is an essential skill in mathematics and real-life applications.

Final Answer

The final answer is: 83.7

Discussion

What is your take on this problem? Do you have any questions or comments? Share your thoughts below!

Understanding Percentages

Percentages are a way to express a value as a fraction of $$100$$. They are commonly used in finance, economics, and other fields to calculate interest rates, determine the cost of goods and services, and express the percentage of a population that has a certain characteristic.

Q&A

Q: What is a percentage?

A: A percentage is a way to express a value as a fraction of $$100$$. It is denoted by a percent sign (%).

Q: How do I calculate a percentage?

A: To calculate a percentage, you need to convert the percentage to a decimal by dividing it by $$100$$. Then, you can multiply the number by the decimal equivalent of the percentage.

Q: What is the difference between a percentage and a decimal?

A: A percentage is a way to express a value as a fraction of $$100$$, while a decimal is a way to express a value as a fraction with a denominator of $$10$$. To convert a percentage to a decimal, you need to divide it by $$100$$.

Q: How do I convert a percentage to a decimal?

A: To convert a percentage to a decimal, you need to divide it by $$100$$. For example, to convert $$25%$$ to a decimal, you would divide $$25$$ by $$100$$, which equals $$0.25$$.

Q: How do I calculate a percentage of a number?

A: To calculate a percentage of a number, you need to multiply the number by the decimal equivalent of the percentage. For example, to calculate $$25%$$ of $$100$$, you would multiply $$100$$ by $$0.25$$, which equals $$25$$.

Q: What is the formula for calculating a percentage?

A: The formula for calculating a percentage is:

\text{Percentage} = \frac{\text{Number}}{100}

Q: How do I calculate a percentage increase or decrease?

A: To calculate a percentage increase or decrease, you need to find the difference between the original value and the new value, and then divide the difference by the original value. Multiply the result by $$100$$ to get the percentage increase or decrease.

Q: What is the difference between a percentage increase and a percentage decrease?

A: A percentage increase is an increase in value, while a percentage decrease is a decrease in value. For example, if a stock price increases by $$10%$$, it means the price has increased by $$10%$$ of its original value. If a stock price decreases by $$10%$$, it means the price has decreased by $$10%$$ of its original value.

Q: How do I calculate a percentage of a group?

A: To calculate a percentage of a group, you need to divide the number of people in the group by the total number of people, and then multiply the result by $$100$$.

Q: What is the formula for calculating a percentage of a group?

A: The formula for calculating a percentage of a group is:

\text{Percentage} = \frac{\text{Number of people in the group}}{\text{Total number of people}} \times 100

Conclusion

Calculating percentages is an essential skill in mathematics and real-life applications. By understanding how to calculate percentages, you can make informed decisions and solve problems in finance, economics, and other fields.

Final Answer

The final answer is: 83.7

Discussion

What is your take on this problem? Do you have any questions or comments? Share your thoughts below!