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How to Calculate the Percentage of Completed Deliveries | Math Problem
Mathematics
Grade 6 of Primary School
Question Content
Keith needs to make a total of 85 deliveries this week. So far he has completed 51 of them. What percentage of his total deliveries has Keith completed?
Correct Answer
60%
Detailed Solution Steps
1
Step 1: Recall the formula for calculating percentage of completion: (Number of completed tasks ÷ Total number of tasks) × 100%
2
Step 2: Substitute the given values into the formula: (51 ÷ 85) × 100%
3
Step 3: Calculate 51 divided by 85, which equals 0.6
4
Step 4: Multiply 0.6 by 100% to get the percentage: 0.6 × 100% = 60%
Knowledge Points Involved
1
Percentage Calculation for Completion Rate
This refers to using the formula (Completed Quantity ÷ Total Quantity) × 100% to find what portion of the whole a completed part is, expressed as a percentage. It is widely used in daily scenarios like work progress, task completion, and academic performance statistics.
2
Fraction to Decimal Conversion
It is the process of converting a fraction (like 51/85) into a decimal by performing division of the numerator by the denominator. This conversion is a necessary step when calculating percentages from fractional relationships.
3
Decimal to Percentage Conversion
To convert a decimal to a percentage, multiply the decimal by 100 and add the percentage symbol (%). This scales the decimal value to a range of 0-100, which is the standard format for representing percentages.
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