A business owner conducted a survey to find out how satisfied her customers are with a new product. Out of 500 customers surveyed, 400 reported being satisfied. She wants to presen... A business owner conducted a survey to find out how satisfied her customers are with a new product. Out of 500 customers surveyed, 400 reported being satisfied. She wants to present the satisfaction rate as a percentage. What should the percentage be?
Understand the Problem
The question is asking for the percentage of satisfied customers based on a survey. From 500 customers surveyed, 400 reported being satisfied. We will calculate the percentage by using the formula: (Number of satisfied customers / Total number of customers) * 100.
Answer
The percentage of satisfied customers is \( 80\% \).
Answer for screen readers
The percentage of satisfied customers is ( 80% ).
Steps to Solve
- Identify the values needed for the calculation
We need the number of satisfied customers and the total number of customers surveyed.
- Number of satisfied customers = 400
- Total number of customers surveyed = 500
- Apply the percentage formula
The formula to calculate the percentage of satisfied customers is:
$$ \text{Percentage} = \left( \frac{\text{Number of satisfied customers}}{\text{Total number of customers}} \right) \times 100 $$
- Substitute the values into the formula
Using the identified values from step 1:
$$ \text{Percentage} = \left( \frac{400}{500} \right) \times 100 $$
- Calculate the fraction
Calculate the fraction:
$$ \frac{400}{500} = 0.8 $$
- Multiply by 100 to find the percentage
Now multiply by 100:
$$ 0.8 \times 100 = 80 $$
The percentage of satisfied customers is ( 80% ).
More Information
This result indicates that 80% of the surveyed customers were satisfied with the product. It's a positive outcome for any business, suggesting good customer reception.
Tips
- Failing to multiply by 100 after calculating the fraction.
- Misreading the number of satisfied customers or total customers.
- Confusing the fraction with a percentage without proper conversion.
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