60 is 24 of what number

Understand the Problem

The question is asking for the number that 60 is 24 percent of. To find this number, we will set up the equation based on the percentage formula.

Answer

The number that 60 is 24 percent of is $250$.
Answer for screen readers

The number that 60 is 24 percent of is $250$.

Steps to Solve

  1. Set up the equation

To find the number that 60 is 24 percent of, we can set up the equation using the formula for percentage:

$$ \text{Percentage} = \left(\frac{\text{Part}}{\text{Whole}}\right) \times 100 $$

In this case, 60 is the part, and we want to find the whole, which we will denote as $x$. Thus, we can rewrite the equation as:

$$ 24 = \left(\frac{60}{x}\right) \times 100 $$

  1. Isolate the variable

Now we need to isolate $x$. First, we can rewrite the equation to eliminate the fraction. Multiply both sides of the equation by $x$ and simplify:

$$ 24x = 60 \times 100 $$

Which gives:

$$ 24x = 6000 $$

  1. Solve for x

Next, we divide both sides by 24 to solve for $x$:

$$ x = \frac{6000}{24} $$

Finally, performing the division:

$$ x = 250 $$

The number that 60 is 24 percent of is $250$.

More Information

The percentage formula is a very useful tool in various real-life scenarios, such as calculating discounts, interest rates, and more. Understanding how to manipulate percentages can help in making more informed decisions.

Tips

  • Mixing up the part and whole values when setting up the equation.
  • Forgetting to convert the percentage to a decimal before performing calculations.
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