To solve this problem, we need to find out what percentage 4% of a number is with respect to 18% of the same number. Let's go through the solution step by step.
- Let the original number be denoted by \(x\).
- The problem states: \(\text{Percentage of } \frac{4\% \text{ of } x}{18\% \text{ of } x}\).
- First, calculate 4% of \(x\):
\(4\% \text{ of } x = \frac{4}{100} \times x = 0.04x\)
- Next, calculate 18% of \(x\):
\(18\% \text{ of } x = \frac{18}{100} \times x = 0.18x\)
- Now, we need to find the ratio of 4% of \(x\) to 18% of \(x\) and convert it to a percentage:
\(\text{Percentage} = \left(\frac{0.04x}{0.18x}\right) \times 100\%\)
- Simplify the ratio:
\(\frac{0.04x}{0.18x} = \frac{0.04}{0.18} = \frac{4}{18} = \frac{2}{9}\)
- Convert the simplified fraction to a percentage:
\(\frac{2}{9} \times 100\% = 22.22\%\)
Therefore, 4% of a number is approximately 22.22% of 18% of the same number. Hence, the correct answer is 22.22%.
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