We are given that \( 12.5\% \) of \( x \) is 6, and we need to find the value of \( x \).

We can write this as an equation:

\[
12.5\% \times x = 6
\]

Converting \( 12.5\% \) to a decimal:

\[
12.5\% = \frac{12.5}{100} = 0.125
\]

So the equation becomes:

\[
0.125 \times x = 6
\]

Now, solve for \( x \) by dividing both sides of the equation by 0.125:

\[
x = \frac{6}{0.125} = 48
\]

Therefore, the value of \( x \) is \( 48 \).

Would you like more details or have any questions?

Here are some related questions you can explore:
1. If 15% of a number is 9, what is the number?
2. Find the value of \( x \) if 25% of \( x \) is 8.
3. What is 12.5% of 50?
4. If 20% of a number is 10, what is the number?
5. What is the percentage form of \( 0.25 \)?

**Tip:** To quickly convert a percentage to a decimal, divide the percentage by 100.

Find out how to solve the problem '12.5% of x is 6' using percentage formulas and basic algebra. This solution includes converting percentages to decimals and solving for the variable x, suitable for students in Grades 6-8.

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