Solve the Percentage Equation: Find 72% of 5100

Q: Why do I divide by 100 to convert percentages?

Because percent means "per hundred"! So 72% literally means $ \frac{72}{100} $ or 0.72. This conversion is essential for all percentage calculations.

Q: Can I use the fraction method instead?

Absolutely! You can calculate $ \frac{72}{100} \times 5100 $. This gives the same answer: $ \frac{72 \times 5100}{100} = \frac{367200}{100} = 3672 $

Q: How do I handle the multiplication with such big numbers?

Break it down! Calculate 0.72 × 5100 as: 0.72 × 5000 = 36000.72 × 100 = 72Add: 3600 + 72 = 3672

Q: How can I check if 3672 is reasonable?

Use estimation! 72% is close to 75% (or 3/4). So 3/4 of 5100 ≈ 3825. Since 3672 is close to this estimate, it makes sense!

Percentage Calculations with Large Numbers

Calculate 72% of 5100:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Calculate 72% of 5100

00:03 Apply the formula to convert percentages to fractions

00:10 This fraction is equal to 72%

00:16 Multiply the fraction by the desired number and proceed to solve

00:23 Factor and reduce wherever possible

00:34 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Calculate 72% of 5100:

Step-by-step solution

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

Step 1: Convert the given percentage into a decimal.
Step 2: Multiply the decimal by the total quantity to find the percentage value.

Now, let's work through each step:
Step 1: Convert the percentage to a decimal:
$72\% = \frac{72}{100} = 0.72$
Step 2: Multiply this decimal by the total quantity:
$0.72 \times 5100 = 3672$

Therefore, 72% of 5100 is $3672$ .

Final Answer

3672

Key Points to Remember

Essential concepts to master this topic

Conversion Rule: Change percentage to decimal by dividing by 100
Multiplication: Calculate $0.72 \times 5100 = 3672$ step by step
Verification: Check that $\frac{3672}{5100} \times 100 = 72\%$ ✓

Common Mistakes

Avoid these frequent errors

Forgetting to convert percentage to decimal
Don't multiply 72 × 5100 = 367,200! This gives a massive wrong answer because you didn't convert the percentage first. Always convert 72% to 0.72 before multiplying.

Practice Quiz

Test your knowledge with interactive questions

Calculate 30 over 100 as a percentage:

FAQ

Everything you need to know about this question

Why do I divide by 100 to convert percentages?

Because percent means "per hundred"! So 72% literally means $\frac{72}{100}$ or 0.72. This conversion is essential for all percentage calculations.

Can I use the fraction method instead?

Absolutely! You can calculate $\frac{72}{100} \times 5100$ . This gives the same answer: $\frac{72 \times 5100}{100} = \frac{367200}{100} = 3672$

How do I handle the multiplication with such big numbers?

Break it down! Calculate 0.72 × 5100 as:

0.72 × 5000 = 3600
0.72 × 100 = 72
Add: 3600 + 72 = 3672

What if I get a decimal in my final answer?

That's completely normal! Many percentage problems result in decimal answers. Just make sure to round appropriately if the problem asks for it.

How can I check if 3672 is reasonable?

Use estimation! 72% is close to 75% (or 3/4). So 3/4 of 5100 ≈ 3825. Since 3672 is close to this estimate, it makes sense!

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