To find the percentage of people who picked chocolate cake, we need to determine the total number of people at the party and then calculate the percentage of those who chose chocolate cake.
From the information provided:
- Number of people who picked chocolate cake = 22
- Number of people who picked coconut cake = 3
The total number of people at the party can be calculated by adding the number of people who picked each type of cake:
\[ \text{Total number of people} = \text{Number who picked chocolate} + \text{Number who picked coconut} = 22 + 3 = 25 \]
Next, we calculate the percentage of people who picked chocolate cake by using the formula:
\[ \text{Percentage} = \left( \frac{\text{Number of people who picked chocolate}}{\text{Total number of people}} \right) \times 100 \]
Substituting the numbers into the formula:
\[ \text{Percentage} = \left( \frac{22}{25} \right) \times 100 \]
Now, we calculate \( \frac{22}{25} \):
\[ \frac{22}{25} = 0.88 \]
Now, multiplying by 100 to convert it to a percentage:
\[ 0.88 \times 100 = 88 \]
Therefore, the percentage of people at the party who picked chocolate cake is:
\[ \boxed{88%} \]