27 is what percent of 45

Step by step

The question

Question: what percent of 45 is 27?

Percent means out of 100.

So we ask: 27 out of 45 is how many out of 100?

1 Write part over whole

27 is the part.

45 is the whole.

We write part over whole.

2 Simplify

27 and 45 can both be divided by 9.

That keeps the numbers small.

27 divided by 9 is 3.

45 divided by 9 is 5.

3 Make the bottom 100

Percent means out of 100.

5 times 20 is 100.

So we multiply the top and the bottom by 20.

20/20 is 1.

Times 1 does not change the size.

3 times 20 is 60.

5 times 20 is 100.

60 out of 100 is 60%.

So 27 is 60% of 45.

4 Check

Let's check: is 60% of 45 really 27?

60% is 60/100.

Of means times.

To keep the numbers small, we divide the top and the bottom by 20.

That is 3/5.

45 divided by 5 is 9.

So it is 3 times 9, that is 27.

We get 27.

So it is right!

Let's look back.

First: write part over whole.

Then: simplify.

Then: make the bottom 100.

Last: check.