If 30% of a =60, then find a.

Answer

To solve the problem, we need to find the value of \( a \) given that \( 30\% \) of \( a \) is equal to \( 60 \).

### Step-by-Step Solution:

1. **Understand the percentage**:
We know that \( 30\% \) can be expressed as a fraction:
\[ 30\% = \frac{30}{100} \]

2. **Set up the equation**:
According to the problem, \( 30\% \) of \( a \) is equal to \( 60 \). We can write this as:
\[ \frac{30}{100} \times a = 60 \]

3. **Simplify the fraction**:
Simplifying \( \frac{30}{100} \) gives us:
\[ \frac{30}{100} = \frac{3}{10} \]
So the equation becomes:
\[ \frac{3}{10} \times a = 60 \]

4. **Isolate \( a \)**:
To isolate \( a \), we can multiply both sides of the equation by \( \frac{10}{3} \):
\[ a = 60 \times \frac{10}{3} \]

5. **Calculate the right side**:
Now, we compute:
\[ a = 60 \times \frac{10}{3} = \frac{600}{3} = 200 \]

6. **Final answer**:
Therefore, the value of \( a \) is:
\[ a = 200 \]