Calculate the Whole: If 3 is 15 Percent, What is the Total?

Calculate the whole if 15 percent is equal to 3:

❤️ 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

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Calculate the whole if 15 percent is equal to 3:

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 for finding the whole.
  • Step 3: Perform the necessary calculations.

Now, let's work through each step:
Step 1: We are given that 15 percent of some whole amount is equal to 3.
Step 2: We use the formula for calculating the whole:

whole=part(percentage100) \text{whole} = \frac{\text{part}}{\left(\frac{\text{percentage}}{100}\right)}

Substituting the given values into the formula:
The part is 3, and the percentage is 15%. Thus, we calculate:

whole=3(15100) \text{whole} = \frac{3}{\left(\frac{15}{100}\right)}

Step 3: Simplify the expression:
First, convert 15% to a decimal by dividing by 100, which gives 0.15.
Now calculate:

whole=30.15 \text{whole} = \frac{3}{0.15}

Perform the division:

whole=20 \text{whole} = 20

Therefore, the solution to the problem is 20 20 .

3

Final Answer

20

Practice Quiz

Test your knowledge with interactive questions

Calculate 30 over 100 as a percentage:

🌟 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