18 is 60% of what number

18 is 60% of what number

The Correct Answer and Explanation is :

To solve the question “18 is 60% of what number?”, we need to set up an equation based on the relationship between a percentage and a whole number.

Step 1: Understand the problem

The question tells us that 18 represents 60% of a certain number, and we are trying to find that unknown number. The formula for calculating a percentage of a number is:

[
\text{Percentage} \times \text{Whole number} = \text{Amount}
]

In this case, we are given:

• The amount (18)
• The percentage (60%)

We need to determine the whole number (let’s call it ( x )).

Step 2: Set up the equation

To express 60% as a decimal, we divide 60 by 100:

[
60\% = \frac{60}{100} = 0.60
]

So, the equation becomes:

[
0.60 \times x = 18
]

Step 3: Solve for ( x )

To find ( x ), we need to isolate it on one side of the equation. Divide both sides of the equation by 0.60:

[
x = \frac{18}{0.60}
]

Now, perform the division:

[
x = 30
]

Step 4: Verify the solution

To ensure that our solution is correct, let’s check if 60% of 30 equals 18:

[
0.60 \times 30 = 18
]

Since the left-hand side equals the right-hand side, the solution is correct.

Conclusion

The number that 18 is 60% of is 30.

Explanation:

This solution involves understanding percentages and how they relate to a whole number. When a percentage of a number is given, we can set up an equation by converting the percentage into its decimal form, then solving for the unknown number. In this case, dividing 18 by 0.60 gives us the number 30, which confirms that 18 is indeed 60% of 30.