Calculate the Percentage: Finding What Percent 36 is of 144

Calculate 36 over 144 as a percentage:

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Step-by-step video solution

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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

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1

Understand the problem

Calculate 36 over 144 as a percentage:

2

Step-by-step solution

Let's write the numbers as fractions:

36144 \frac{36}{144}

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

36144×100= \frac{36}{144}\times100=

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

36×4 36\times4

In other words:

3636×4×100= \frac{36}{36\times4}\times100=

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

1004=25 \frac{100}{4}=25

3

Final Answer

25%

Practice Quiz

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Convert the fraction into a percentage:

\( \frac{2}{100}=\text{?} \)

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