Let's break down the information given in the problem:

• 80% of people who responded own a pet.
• 20% of people do not own a pet.
• 10% of those who own a pet own a hamster.

Now, to find the percentage of the total respondents who own a hamster:

1. Since 80% of respondents own a pet, and 10% of those pet owners own a hamster, we need to find 10% of 80%.

   $10\% \text{ of } 80\% = 0.10 \times 0.80 = 0.08 = 8\%$

So, 8% of the total respondents own a hamster.

Final Answer:

8% of the people who responded own a hamster.

Would you like further details or have any questions? Here are some related questions to explore:

1. If 500 people responded to the survey, how many own a hamster?
2. What percentage of people who responded own a pet but do not own a hamster?
3. If 20% of the pet owners also own a cat, what percentage of respondents own a cat?
4. What would the percentage of hamster owners be if 15% of pet owners owned hamsters instead of 10%?
5. How would the percentage of hamster owners change if only 70% of respondents owned pets?

Tip: Always check if you're working with percentages of a total or a subset of a group, as it can affect the calculations.