Calculate the Percentage: Finding What Percent 36 is of 144

Question

Calculate 36 over 144 as a percentage:

Video Solution

Solution Steps

00:00 What percentage is 36 out of 144?
00:05 Let's use the formula for calculating the percentage of one number from another
00:10 Divide one number by another and multiply by 100
00:15 Let's break down 144 into factors 36 and 4
00:21 Let's reduce what we can
00:27 And this is the solution to the question

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 and get:

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

Answer

25%