Calculate Percentage: Converting 216 ÷ 6 to Percent Form

Question

What is the percentage of 216 over 6?

Video Solution

Solution Steps

00:00 Calculate 216 as a percentage of 6
00:05 Apply the formula for calculating percentages
00:10 Divide one number by the other and then proceed to multiply by 100
00:15 Break down 216 into factors of 6 and 36
00:20 Reduce wherever possible
00:27 This is the solution

Step-by-Step Solution

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

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

Now, let's work through each step:
Step 1: We are given the part as 216 and the whole as 6.
Step 2: We'll use the formula for percentage, which is Percentage=(PartWhole)×100% \text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100 \% .
Step 3: Plugging in our values, we have Percentage=(2166)×100% \text{Percentage} = \left( \frac{216}{6} \right) \times 100 \% .
First, perform the division: 216÷6=36 216 \div 6 = 36 .
Next, multiply the result by 100 to convert it into a percentage: 36×100=3600% 36 \times 100 = 3600 \% .

Therefore, the percentage of 216 over 6 is 3600% 3600\% .

Answer

3600%