Charlie needs to make a total of 80 deliveries this week. So far, he has completed 72 of them. What percentage of his total deliveries has Charlie completed?
Understand the Problem
The question is asking us to calculate the percentage of deliveries that Charlie has completed out of his total goal for the week. We will solve it by using the formula for percentage: (completed deliveries / total deliveries) * 100.
Answer
$90\%$
Answer for screen readers
Charlie has completed 90% of his deliveries.
Steps to Solve
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Identify the values needed for the calculation
Charlie has completed 72 deliveries out of a total goal of 80. Therefore, we will use these values:
- Completed deliveries = 72
- Total deliveries = 80
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Apply the percentage formula
To find the percentage of deliveries completed, use the formula:
$$ \text{Percentage} = \left( \frac{\text{completed deliveries}}{\text{total deliveries}} \right) \times 100 $$
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Substitute the values into the formula
Now, substitute the values into the formula:
$$ \text{Percentage} = \left( \frac{72}{80} \right) \times 100 $$
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Calculate the fraction
First, calculate the fraction:
$$ \frac{72}{80} = 0.9 $$
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Multiply by 100 to find the percentage
Next, multiply by 100:
$$ 0.9 \times 100 = 90 $$
Charlie has completed 90% of his deliveries.
More Information
Charlie is on track to meet his goal, having completed 90% of his total deliveries for the week. This indicates strong productivity.
Tips
- Confusing the numerator and denominator when calculating percentage. Ensure that the completed deliveries are in the numerator and total deliveries in the denominator.
- Forgetting to multiply by 100 to convert the decimal to a percentage.
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