60 is 40 percent of what number?
Understand the Problem
The question is asking us to find out what number 60 is 40 percent of. To do this, we can use the formula: part = percent × whole. Rearranging it to find the whole gives us whole = part / percent. We will calculate it accordingly.
Answer
150
Answer for screen readers
The final answer is 150
Steps to Solve
- Convert the percentage to a decimal
Percentages need to be converted to their decimal form for calculations. To do this, divide the percent by 100.
$$ ext{Decimal form of 40 percent} = \frac{40}{100} = 0.40 $$
- Set up the equation to solve for the whole
We use the formula $\text{part} = \text{percent} \times \text{whole}$ and rearrange it to solve for the whole. This gives us:
$$ \text{whole} = \frac{\text{part}}{\text{percent}} $$
- Plug in the known values
We know the part (60) and the percent in decimal form (0.40). Substitute these values into the equation:
$$ \text{whole} = \frac{60}{0.40} $$
- Perform the division
Divide 60 by 0.40 to find the whole:
$$ \text{whole} = \frac{60}{0.40} = 150 $$
The final answer is 150
More Information
In the context of percentages, 60 is 40 percent of 150. This can be useful in situations like determining discounts, interest rates, or any scenario where percentage calculations are relevant.
Tips
A common mistake is to forget to convert the percentage into a decimal before performing the division. Always divide the percentage by 100 to get the correct decimal form.
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