What is 22% of 50?x = 0.22 . 50x = [?]
The Correct Answer and Explanation is :
To calculate 22% of 50, you multiply 50 by 0.22.
Here’s the equation:
[
x = 0.22 \times 50
]
When you multiply 0.22 by 50:
[
x = 11
]
So, 22% of 50 is 11.
Explanation:
Understanding Percentages:
A percentage represents a fraction out of 100. For example, 22% means 22 parts out of 100. When you are calculating a percentage of a number, you are finding that fractional part of the number.
Steps for Calculating Percentages:
- Convert the percentage to a decimal: To calculate 22% of a number, you first convert the percentage into a decimal. This is done by dividing the percentage by 100. So, 22% becomes ( \frac{22}{100} = 0.22 ).
- Multiply the decimal by the number: Once you have the decimal, you multiply it by the number you’re trying to find the percentage of. In this case, we are finding 22% of 50, so we multiply 0.22 by 50. [
0.22 \times 50 = 11
]
Why this method works:
Multiplying by a decimal equivalent to a percentage is essentially finding that fraction of the number. For instance, 22% means 22 parts of 100, and multiplying 50 by 0.22 finds 22% of 50. This approach applies universally for any percentage and number.
In real-life situations, this is useful for calculating discounts, sales tax, interest rates, and more. For example, if a product is on sale for 22% off, knowing how to calculate that percentage will help determine the discount amount quickly.