54 is 60% of what number?
The Correct Answer and Explanation is :
To determine what number 54 is 60% of, you can set up the equation based on the definition of percentages. The equation is:
[ 54 = 0.60 \times X ]
Where ( X ) is the unknown number we want to find. To isolate ( X ), you can rearrange the equation as follows:
- Divide both sides of the equation by 0.60:
[ X = \frac{54}{0.60} ] - Perform the division:
[ X = 90 ]
Thus, 54 is 60% of 90.
Explanation:
The concept of percentage is fundamentally about understanding proportions. A percentage represents a fraction of 100. Therefore, when we say “60%,” it translates to 60 out of 100 or ( \frac{60}{100} ), which simplifies to 0.60 in decimal form.
To find the base number from a percentage, we can employ the formula ( \text{Part} = \text{Percentage} \times \text{Whole} ). In this instance, 54 is the part we have (the specific value), and we are looking to find the whole number that corresponds to this part when it represents 60% of that whole.
Rearranging the formula to solve for the whole gives us ( \text{Whole} = \frac{\text{Part}}{\text{Percentage}} ). Substituting our known values (Part = 54 and Percentage = 0.60) allows us to compute the value of the whole number.
This calculation is a fundamental skill that can be applied in various contexts, such as financial calculations, statistics, and everyday scenarios, where understanding the relationship between a part and a whole is crucial. Understanding how to manipulate percentages can help in making informed decisions based on numerical data. Thus, knowing that 54 is 60% of 90 can be practical in real-life situations like budgeting or analyzing sales figures.