Calculate the Percentage: How Much is 222 of 75?

Q: Can a percentage be more than 100%?

Absolutely! When the first number is larger than the second number, you'll always get a percentage over 100%. For example, 222 is much larger than 75, so it makes sense that 222 is 296% of 75.

Q: How do I remember which number goes where in the fraction?

Think of it as: "[First number] is what percent OF [second number]". The word "OF" tells you the denominator! So "222 is what percent OF 75" becomes $ \frac{222}{75} $.

Q: Why do I multiply by 100?

The fraction $ \frac{222}{75} $ gives you a decimal (2.96). To convert any decimal to a percentage, you multiply by 100 and add the % symbol: 2.96 × 100 = 296%.

Q: How can I check if 296% makes sense?

Think logically: 222 is almost 3 times bigger than 75 (since 75 × 3 = 225). So 222 should be close to 300% of 75, which matches our answer of 296%!

Percentage Calculations with Values Over 100%

What is the percentage of 222 over 75?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:04 Let's calculate 222 as a percentage of 75.

00:09 First, we'll use the percentage formula.

00:14 You need to divide 222 by 75, then multiply by 100.

00:20 Now, let's break down 222 into factors: 25 times 3. And 100 is 25 times 4.

00:31 Simplify by reducing wherever possible.

00:40 Great job! That's the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

What is the percentage of 222 over 75?

Step-by-step solution

To solve this problem, we need to express the number 222 as a percentage of 75. To do this, we employ the following method:

Step 1: Write the fraction for which we are determining the percentage, which is $\frac{222}{75}$ .
Step 2: Convert this fraction to a percentage by multiplying it by 100:

$\frac{222}{75} \times 100\%$

Step-by-step breakdown of the calculation:

$\frac{222 \times 100}{75} = \frac{22200}{75}$

Now, let's simplify $\frac{22200}{75}$ :

Compute: $\frac{22200}{75} = 296$

This gives us 296.

Therefore, $222$ is 296% of $75$ .

The correct choice from the given options is 296%, which corresponds to choice 3.

Final Answer

296%

Key Points to Remember

Essential concepts to master this topic

Formula: To find what percent A is of B, calculate (A/B) × 100%
Technique: $\frac{222}{75} \times 100 = \frac{22200}{75} = 296\%$
Check: When A > B, the percentage must exceed 100% ✓

Common Mistakes

Avoid these frequent errors

Confusing which number goes in numerator vs denominator
Don't put 75 over 222 when asked "222 is what percent of 75" = gives 33.8% instead of 296%! This reverses the comparison completely. Always put the number being compared (222) in the numerator and the reference number (75) in the denominator.

Practice Quiz

Test your knowledge with interactive questions

Convert the fraction into a percentage:

$\frac{2}{100}=\text{?}$

FAQ

Everything you need to know about this question

Can a percentage be more than 100%?

Absolutely! When the first number is larger than the second number, you'll always get a percentage over 100%. For example, 222 is much larger than 75, so it makes sense that 222 is 296% of 75.

How do I remember which number goes where in the fraction?

Think of it as: "[First number] is what percent OF [second number]". The word "OF" tells you the denominator! So "222 is what percent OF 75" becomes $\frac{222}{75}$ .

Why do I multiply by 100?

The fraction $\frac{222}{75}$ gives you a decimal (2.96). To convert any decimal to a percentage, you multiply by 100 and add the % symbol: 2.96 × 100 = 296%.

What if I get a decimal answer instead of a whole number?

That's totally normal! Many percentage problems result in decimals like 33.5% or 127.3%. Just round to the nearest tenth or whatever precision the problem asks for.

How can I check if 296% makes sense?

Think logically: 222 is almost 3 times bigger than 75 (since 75 × 3 = 225). So 222 should be close to 300% of 75, which matches our answer of 296%!

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