Calculate Percentage: Converting 216 ÷ 6 to Percent Form

What is the percentage of 216 over 6?

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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 written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

What is the percentage of 216 over 6?

2

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\% .

3

Final Answer

3600%

Practice Quiz

Test your knowledge with interactive questions

Convert the fraction into a percentage:

\( \frac{24}{100}=\text{?} \)

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Percentage questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations