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65% Of What Number Is 26?

Have you ever been faced with a math problem that seems to be too complex to solve? Perhaps you’ve encountered the question, “65% of what number is 26?” and found yourself puzzled. Fear not, for in this article, we will break down this problem step by step and provide you with a clear understanding of how to solve it. So, let’s dive in!

To find 65% of a number, we need to multiply that number by 0.65. In this case, we are trying to find 65% of an unknown number, which we will refer to as “x.” Therefore, our equation becomes:

0.65 * x = 26

To solve for x, we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 0.65:

x = 26 / 0.65

Now, let’s calculate this:

x = 40

Hence, the unknown number is 40. Therefore, 65% of 40 is 26.

FAQs

Q: How do I calculate percentages?

A: To calculate a percentage, divide the given value by 100 and then multiply it by the percentage. For example, to find 65% of a number, multiply the number by 0.65.

Q: Can I use a calculator to solve this problem?

A: Absolutely! Using a calculator will make it easier and faster to find the solution. However, it is always beneficial to understand the underlying concept and steps involved in the calculation.

Q: Why do we divide by 0.65?

A: We divide by 0.65 because 0.65 represents 65% in decimal form. Dividing by 0.65 helps us solve for the unknown number, as it cancels out the multiplying factor.

Q: Can this method be applied to find other percentages of a number?

A: Yes, the same method can be applied to find any percentage of a number. Simply replace 0.65 with the desired percentage in decimal form in the equation.

Q: What if the percentage is given in a different form, such as a fraction?

A: If the percentage is given as a fraction, convert it to decimal form before using it in the equation. For example, if the percentage is given as 3/5, divide 3 by 5 to get 0.60 and then multiply it by the number to find the percentage.

Q: Is there an alternative method to find the solution?

A: Yes, there is another way to solve this problem. You can set up a proportion by using the fact that 65% is equivalent to 0.65. The equation will be: x/100 = 26/0.65. Cross-multiply and solve for x to find the answer.

Q: Are there any practical applications of this concept?

A: Calculating percentages is an essential skill in various real-life situations. It can be used in finance, sales, statistics, and many other fields. Understanding how to find percentages helps in analyzing data, determining discounts, and making informed decisions.

In conclusion, finding 65% of a number can be easily accomplished by multiplying the number by 0.65. By following the steps outlined in this article, you can solve the problem “65% of what number is 26?” and apply the same method to other percentage calculations. Remember, practice makes perfect, so keep honing your math skills, and you’ll soon become a master at solving these types of problems.

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