What is 75% of 180?
The Correct Answer and Explanation is:
To find 75% of 180, you can follow these steps:
- Convert the percentage to a decimal: To convert a percentage to a decimal, divide by 100. So, 75% becomes (0.75) (because (75 \div 100 = 0.75)).
- Multiply the decimal by the total: Now, multiply the decimal by the number you want to find the percentage of. Thus, we multiply (0.75) by (180): [
0.75 \times 180 = 135
]
Therefore, 75% of 180 is 135.
Explanation
Percentages are a way to express a number as a fraction of 100. When you want to find a certain percentage of a number, you are essentially calculating a portion of that number. For example, when you say you want to find 75% of a total of 180, you are interested in determining how much 75 parts out of every 100 parts of that total amount would be.
The process begins by converting the percentage into a decimal, which makes it easier to perform calculations. The decimal form allows you to express the part-to-whole relationship mathematically. Once you have the decimal, you multiply it by the original number to determine the specified portion.
In this case, finding 75% of 180 means you are calculating three-quarters of 180. Since 75% is equivalent to ( \frac{75}{100} ) or ( \frac{3}{4} ), you can also view the multiplication as dividing 180 into four equal parts and taking three of those parts. When you do the multiplication, you are effectively scaling the number down to represent that fraction.
Understanding how to manipulate percentages is an important skill in many fields, including finance, health, and everyday decision-making, as it helps in interpreting data and making informed choices based on proportional relationships.