8% of what number is 32

Step by step

The question

Question: 32 is 8% of what number?

We write it like this: 8% of the number is 32.

32 is a part.

The whole number is what we want.

Careful!

Many people work out 8% of 32.

But 32 is not the whole.

It is only 8% of it.

1 Find 1%

8% is 8 lots of 1%.

So we find 1% first.

1% is 32 divided by 8: 4.

2 Find 100%

The whole number is 100%: 100 lots of 1%.

4 times 100 is 400.

So 32 is 8% of 400.

3 Check

Let's check: is 8% of 400 really 32?

8% is 8/100.

Of means times.

400 divided by 100 is 4.

8 times 4 is 32.

We get 32.

So it is right!

Let's look back.

First: find 1%.

Then: find 100%.

Last: check.