60 is what percent of 48?
The Correct Answer and Explanation is:
To calculate what percent 60 is of 48, we can use the formula for finding percentages:
[
\text{Percentage} = \left(\frac{\text{Part}}{\text{Whole}}\right) \times 100
]
In this case:
- The part is 60 (the number we are trying to express as a percentage).
- The whole is 48 (the reference number from which we are determining the percentage).
Step 1: Set up the equation
We know that the part is 60 and the whole is 48, so we plug these values into the formula:
[
\text{Percentage} = \left(\frac{60}{48}\right) \times 100
]
Step 2: Simplify the fraction
Now, we divide 60 by 48:
[
\frac{60}{48} = 1.25
]
Step 3: Multiply by 100
Next, we multiply the result by 100 to convert the decimal into a percentage:
[
1.25 \times 100 = 125
]
So, 60 is 125% of 48.
Explanation:
This means that 60 is 125% of 48, or in other words, 60 is 1.25 times greater than 48. The process of finding a percentage essentially compares how much a part is in relation to the whole. In this case, 60 is more than 100% of 48, which indicates that 60 exceeds 48 by 25%.
Understanding percentages is essential in various real-world applications, from calculating discounts to understanding data comparisons. In this case, 60 represents 125% of 48, meaning that it is 25% larger than the original number (48).