What number is 75% of 500?
A 365
B 375
C 387
D 390
The Correct Answer and Explanation is :
To find 75% of 500, we can use the formula for percentage calculation, which is:
[
\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100
]
In this case, we want to find 75% of 500. This can also be expressed as:
[
75\% = \frac{75}{100} = 0.75
]
Now, we can calculate 75% of 500 by multiplying:
[
0.75 \times 500
]
Performing the multiplication:
[
0.75 \times 500 = 375
]
Therefore, the correct answer is 375.
Explanation
To better understand the calculation of percentages, let’s break down the concept. A percentage represents a fraction of 100. So, when we say “75%,” we are referring to 75 parts out of 100. The calculation of a percentage involves converting that percentage into a decimal or fraction and then multiplying it by the total quantity to get the desired part.
For example, in this case, 500 is our whole or total quantity. To find out what 75% of this total is, we convert 75% into a decimal, which is 0.75. By multiplying this decimal by the total (500), we determine how much 75% corresponds to in numerical terms.
This method can be applied to any percentage or total. If you wanted to find, say, 20% of 500, you would convert 20% to 0.20 and multiply:
[
0.20 \times 500 = 100
]
In practical terms, understanding percentages is crucial in many areas such as finance, healthcare, and everyday life. It helps in making decisions about discounts, taxes, and any situation where portions of a whole are relevant. Hence, calculating 75% of 500 gives us 375, which illustrates the application of percentage calculations effectively.