$$ 22.5 \% $$ of what number is $$ 17 ? $$

Question

UpStudy AI · Accepted Answer

To find the number for which $$ 22.5\% $$ is equal to $$ 17 $$, you can set up the equation as follows:

$$
22.5\% \times x = 17
$$

Where $$ x $$ is the unknown number.

### Step-by-Step Solution:

1. **Convert the Percentage to a Decimal:**
   
   $$
   22.5\% = \frac{22.5}{100} = 0.225
   $$

2. **Set Up the Equation:**
   
   $$
   0.225 \times x = 17
   $$

3. **Solve for $$ x $$:**
   
   $$
   x = \frac{17}{0.225}
   $$

4. **Calculate the Value:**
   
   $$
   x = \frac{17}{0.225} \approx 75.555\ldots
   $$

5. **Round to Two Decimal Places (if desired):**
   
   $$
   x \approx 75.56
   $$

### Conclusion:

$$ 22.5\% $$ of **75.56** is $$ 17 $$.
$$ 22.5\% $$ of **75.56** is $$ 17 $$.

\( 22.5 \% \) of what number is \( 17 ? \)