To determine which number 20 is 22% of, we can use the basic percentage formula which relates the part, the percentage, and the whole:
[tex]\[ \text{part} = \left( \frac{\text{percentage}}{100} \right) \times \text{whole} \][/tex]
Given:
- The part is 20.
- The percentage is 22%.
We need to find the whole. Rearranging the formula to solve for the whole:
[tex]\[ \text{whole} = \frac{\text{part}}{\left( \frac{\text{percentage}}{100} \right)} \][/tex]
Substitute the given values:
[tex]\[ \text{whole} = \frac{20}{\left( \frac{22}{100} \right)} \][/tex]
Simplify the fraction:
[tex]\[ \text{whole} = \frac{20}{0.22} \][/tex]
[tex]\[ \text{whole} \approx 90.91 \][/tex]
Next, compare this approximate value to the provided options:
- A 40
- B 50
- C 75
- D 100
None of these options (A 40, B 50, C 75, D 100) closely match the calculated value of approximately 90.91.
Therefore, none of the given options are correct.
