Convert 27/63 into a Percentage: A Practical Guide

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: $\text{Percentage} = \left(\frac{\text{Part}}{\text{Whole}}\right) \times 100\%$.
Step 3: Plugging in our values, we get:

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

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

$\frac{27}{63} = \frac{27 \div 9}{63 \div 9} = \frac{3}{7}$

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

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

Rounding to two decimal places, we get 42.85%.

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