Convert 27/63 into a Percentage: A Practical Guide

Calculate 27 over 63 as a percentage:

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Step-by-step video solution

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00:04 Let's calculate 27 as a percentage of 63.
00:09 First, we'll use the formula to find percentages.
00:13 Divide 27 by 63. Then, multiply by 100.
00:17 Next, break down 27 into factors, which are 9 and 3.
00:22 Now, break down 63 into 9 and 7. Simplify where you can.
00:30 And that's how we find the solution! Great job!

Step-by-step written solution

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1

Understand the problem

Calculate 27 over 63 as a percentage:

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the given information
  • Step 2: Apply the percentage formula
  • Step 3: Perform the necessary calculations

Now, let's work through each step:
Step 1: We are given that the "Part" is 27 and the "Whole" is 63.
Step 2: We'll use the formula for percentage calculation: Percentage=(PartWhole)×100%\text{Percentage} = \left(\frac{\text{Part}}{\text{Whole}}\right) \times 100\%.
Step 3: Plugging in our values, we get:

Percentage=(2763)×100% \text{Percentage} = \left(\frac{27}{63}\right) \times 100\%

Simplifying the fraction 2763\frac{27}{63}, we find the greatest common divisor of both numbers, which is 9, thus:

2763=27÷963÷9=37 \frac{27}{63} = \frac{27 \div 9}{63 \div 9} = \frac{3}{7}

Then, we multiply by 100 to convert to a percentage:

Percentage=37×100%42.8571% \text{Percentage} = \frac{3}{7} \times 100\% \approx 42.8571\%

Rounding to two decimal places, we get 42.85%.

Therefore, the solution to the problem is 42.85%42.85\%.

3

Final Answer

42.85%

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Calculate 30 over 100 as a percentage:

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