24 is 16% of what number?
Understand the Problem
The question is asking to find a number of which 24 is 16%. This involves understanding percentage calculations and setting up a simple equation to solve for the unknown number.
Answer
$150$
Answer for screen readers
$150$
Steps to Solve
- Convert the percentage to a decimal
To convert a percentage to a decimal, divide it by 100. $16% = \frac{16}{100} = 0.16$
- Set up the equation
Let $x$ be the unknown number. We can translate the problem into the following equation: $0.16x = 24$
- Solve for $x$
To isolate $x$, divide both sides of the equation by $0.16$: $x = \frac{24}{0.16}$
- Calculate the value of x
$x = 150$
$150$
More Information
Percentages are a way of expressing a number as a fraction of 100. They are commonly used to represent proportions or rates.
Tips
A common mistake is misunderstanding how to convert a percentage to a decimal or fraction and using the incorrect value in the equation. Another mistake is setting up the equation incorrectly, for instance, multiplying 24 by 0.16 instead of dividing.
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