What percent of 50 is 10

Step by step

The question

Question: what percent of 50 is 10?

Percent means out of 100.

So we ask: 10 out of 50 is how many out of 100?

1 Write part over whole

10 is the part.

50 is the whole.

We write part over whole.

2 Make the bottom 100

Percent means out of 100.

50 times 2 is 100.

So we multiply the top and the bottom by 2.

2/2 is 1.

Times 1 does not change the size.

10 times 2 is 20.

50 times 2 is 100.

20 out of 100 is 20%.

So 10 is 20% of 50.

3 Check

Let's check: is 20% of 50 really 10?

20% is 20/100.

Of means times.

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

That is 1/5.

50 divided by 5 is 10.

That is 10.

We get 10.

So it is right!

Let's look back.

First: write part over whole.

Then: make the bottom 100.

Last: check.