80% of what number is 24
The Correct Answer and Explanation is :
To find 80% of what number equals 24, we can set up the following equation:
[
0.80 \times X = 24
]
Where ( X ) is the unknown number. To solve for ( X ), we divide both sides of the equation by 0.80:
[
X = \frac{24}{0.80}
]
Now, calculating the value:
[
X = 30
]
So, 80% of 30 is 24.
Explanation:
Percentages are a way of expressing a fraction of a whole number. When we say “80% of a number,” we mean “80 out of 100 parts of that number.” Mathematically, percentages are converted to decimal form by dividing by 100. In this case, 80% becomes 0.80.
To solve this type of problem, we set up an equation where 0.80 (representing 80%) multiplied by some unknown number ( X ) equals 24. This equation essentially asks, “What number, when reduced to 80%, equals 24?”
To isolate ( X ), we perform the reverse operation of multiplication, which is division. By dividing 24 by 0.80, we determine that the original number was 30. This means that 80% of 30 is 24.
You can check this by multiplying 30 by 0.80 to confirm:
[
30 \times 0.80 = 24
]
Understanding this concept is useful in many real-life applications, such as calculating discounts in stores, determining the percentage of a budget spent, or figuring out proportions in cooking. In this case, knowing that 80% of 30 equals 24 helps to clarify the relationship between percentages, fractions, and whole numbers.