What is 90% of 180?
The correct answer and explanation is:
To calculate 90% of 180, you multiply 180 by 0.90.
Here’s the calculation: 90% of 180=180×0.90=16290\% \text{ of } 180 = 180 \times 0.90 = 162
So, 90% of 180 is 162.
Explanation:
Percentages represent a part of a whole, and they are often calculated by multiplying the total value by the percentage, expressed as a decimal. In this case, 90% is equivalent to the decimal 0.90. This conversion is done by dividing the percentage by 100 (since 100% equals 1 in decimal form). The decimal form of 90% is: 90100=0.90\frac{90}{100} = 0.90
Now, when you want to find 90% of a number (like 180), you multiply the number by 0.90. This is essentially finding 90 parts of the whole, with the whole being 180.
Multiplying 180 by 0.90 means that you’re taking 90% of the total 180. In simpler terms, you’re asking, “How much is 90% of the total amount of 180?” By performing the calculation, you find that 162 is the result.
This process of multiplying a number by a percentage is used frequently in finance, shopping discounts, statistics, and everyday life to determine parts of a whole.
Understanding how to calculate percentages like this is fundamental to many areas of math and is useful in many practical applications. For instance, if you’re calculating a sale price with a 10% discount, you’d find 90% of the original price in the same way.