Calculate the Percentage: Finding What Percent 36 is of 144

Q: Why do I multiply by 100 to get a percentage?

Percent means "per hundred" - so multiplying by 100 converts your decimal or fraction into "parts per 100." For example, $ \frac{1}{4} = 0.25 = 25\% $

Q: How do I know if I can simplify the fraction?

Look for common factors in the numerator and denominator. In $ \frac{36}{144} $, both numbers are divisible by 36, so you can cancel them out!

Q: Can I use this method for any "what percent" problem?

Yes! The formula is always: $ \frac{\text{part}}{\text{whole}} \times 100\% $. Just identify which number is the part and which is the whole.

Q: How do I check if my percentage is reasonable?

Ask yourself: "Is 36 about one-fourth of 144?" Since 144 ÷ 4 = 36, yes! So 25% makes perfect sense.

Percentage Calculations with Fraction Simplification

Calculate 36 over 144 as a percentage:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:04 Let's find what 36 is as a percentage of 144.

00:09 We will use the percentage formula.

00:14 Divide 36 by 144, then multiply the result by 100.

00:21 To make it easier, break 144 into factors of 36 and 4.

00:26 Simplify the fraction by reducing it.

00:31 And there you go! That's the solution.

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Calculate 36 over 144 as a percentage:

Step-by-step solution

Let's write the numbers as fractions:

$\frac{36}{144}$

Now let's multiply by 100 to reveal the percentage:

$\frac{36}{144}\times100=$

Let's note that we can break down 144 into the following expression:

$36\times4$

In other words:

$\frac{36}{36\times4}\times100=$

We can simplify the two 36s in the fraction as follows:

$\frac{100}{4}=25$

Final Answer

25%

Key Points to Remember

Essential concepts to master this topic

Formula: Convert fraction to percentage by multiplying by 100
Technique: Simplify $\frac{36}{144} = \frac{36}{36 \times 4} = \frac{1}{4}$ first
Check: Verify 25% of 144 equals 36: 0.25 × 144 = 36 ✓

Common Mistakes

Avoid these frequent errors

Dividing incorrectly or not simplifying the fraction
Don't calculate $\frac{36}{144} \times 100$ without simplifying = complex arithmetic and errors! This leads to calculation mistakes with large numbers. Always simplify the fraction first by finding common factors, then multiply by 100.

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

Why do I multiply by 100 to get a percentage?

Percent means "per hundred" - so multiplying by 100 converts your decimal or fraction into "parts per 100." For example, $\frac{1}{4} = 0.25 = 25\%$

How do I know if I can simplify the fraction?

Look for common factors in the numerator and denominator. In $\frac{36}{144}$ , both numbers are divisible by 36, so you can cancel them out!

What if the fraction doesn't simplify nicely?

That's okay! You can still divide 36 ÷ 144 = 0.25, then multiply by 100. The answer will be the same: 25%.

Can I use this method for any "what percent" problem?

Yes! The formula is always: $\frac{\text{part}}{\text{whole}} \times 100\%$ . Just identify which number is the part and which is the whole.

How do I check if my percentage is reasonable?

Ask yourself: "Is 36 about one-fourth of 144?" Since 144 ÷ 4 = 36, yes! So 25% makes perfect sense.

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