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90 is 25% of What Number?

If you have come across the phrase “90 is 25% of what number?” and found yourself puzzled, you are not alone. Understanding percentages can sometimes be challenging, but don’t worry, we are here to help you unravel this mathematical mystery.

To find the number that corresponds to 90 being 25% of it, we need to use a simple formula:

(Number × Percentage) ÷ 100 = Given Value

In this case, the given value is 90, and the percentage is 25%. Plugging these values into the formula, we can solve for the unknown number:

(Number × 25) ÷ 100 = 90

To simplify the equation, we can multiply both sides by 100 to get rid of the fraction:

(Number × 25) = 90 × 100

Further simplifying:

Number = (90 × 100) ÷ 25

Number = 360

So, 90 is 25% of 360.

FAQs:

Q: What does it mean when a number is a percentage of another number?

A: When a number is a percentage of another number, it means that the first number represents a portion or fraction of the second number. For example, if we say that 75 is 50% of a certain number, it means that 75 is half of that number.

Q: How do I calculate percentages?

A: To calculate a percentage, you need to divide the given value by the total value and then multiply the result by 100. For example, if you want to calculate 25% of 200, you would divide 25 by 100 to get the decimal form (0.25), and then multiply it by 200. The result is 50.

Q: What is the significance of percentages in everyday life?

A: Percentages are used in various real-life situations. For instance, they are employed in sales to represent discounts, in finance to calculate interest rates, in statistics to analyze data, and in many other fields. Understanding percentages allows us to interpret information, make comparisons, and solve problems more efficiently.

Q: Can percentages be greater than 100?

A: Yes, percentages can be greater than 100. When a percentage is greater than 100, it means that the given value is more than the total value. For example, if a student scores 110% on an exam, it implies that they have scored more than the maximum possible score.

Q: How can I mentally calculate percentages?

A: Mental calculation of percentages can be done using various strategies. One common approach is to find 10% of the given value and then multiply it by the desired percentage. For instance, to calculate 35% of 80, you can find 10% of 80 (which is 8) and then multiply it by 3 to get 24.

Q: Are there any other methods to find the number if a percentage is given?

A: Yes, there are alternative ways to find the number if a percentage is given. You can also multiply the given value by 100 and then divide it by the percentage. For example, to find the number if 20% of it is 50, you can multiply 50 by 100 and then divide it by 20. The result is 250.

In conclusion, when faced with the question “90 is 25% of what number?” we can solve it by using the formula (Number × Percentage) ÷ 100 = Given Value. By plugging in the values, we find that 90 is 25% of 360. Understanding percentages is essential in many aspects of life, and being able to calculate them accurately can greatly benefit our problem-solving skills.

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