40 of what number is 15?
Understand the Problem
The question is asking to find a number such that 40% of that number equals 15. To solve this, we can set up the equation 0.4 * x = 15 and solve for x.
Answer
The value of the number is $37.5$.
Answer for screen readers
The value of the number is $37.5$.
Steps to Solve
- Set up the equation
We start with the equation that represents the problem. We have:
$$ 0.4x = 15 $$
This equation states that 40% (or 0.4) of a number $x$ equals 15.
- Isolate the variable
Next, we want to isolate $x$. To do that, we will divide both sides of the equation by 0.4:
$$ x = \frac{15}{0.4} $$
- Calculate the value of x
Now, we perform the division:
$$ x = 15 \div 0.4 = 15 \times 2.5 = 37.5 $$
So, the value of $x$ is 37.5.
The value of the number is $37.5$.
More Information
Finding 40% of a number is a common problem in percentages, often applied in financial contexts or measurement conversions. Understanding how to manipulate percentages leads to easier calculations in various real-life scenarios.
Tips
- Miscalculating the division: Ensure correct arithmetic when dividing.
- Confusing percentage representation: Remember that 40% equals 0.4 in decimal form.
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