Calculate the Percentage: Finding What Percent 36 is of 144

Question

Calculate 36 over 144 as a percentage:

00:00 Calculate 36 as a percentage of 144

00:05 Apply the formula for calculating percentages

00:10 Divide one number by the other and proceed to multiply by 100

00:15 Break down 144 into factors of 36 and 4

00:21 Reduce wherever possible

00:27 This is the 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:

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

25%