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What percent of 20 is 5

Step by step, with the reason for every step · Percent · Foundations

Step by step

The question

Question: what percent of 20 is 5?

What percent of 20 is 5?

Percent means out of 100.

So we ask: 5 out of 20 is how many out of 100?

percent = out of 100

1 Write part over whole

5 is the part.

20 is the whole.

We write part over whole.

= 520
partwhole

2 Make the bottom 100

Percent means out of 100.

20 times 5 is 100.

So we multiply the top and the bottom by 5.

= 5 × 520 × 5

5/5 is 1.

Times 1 does not change the size.

55 = 1

5 times 5 is 25.

20 times 5 is 100.

= 25100

25 out of 100 is 25%.

= 25%

So 5 is 25% of 20.

3 Check

Let's check: is 25% of 20 really 5?

25% is 25/100.

Of means times.

To keep the numbers small, we divide the top and the bottom by 25.

25% of 20 = 25100 × 20 = 25 ÷ 25100 ÷ 25 × 20

That is 1/4.

20 divided by 4 is 5.

That is 5.

= 14 × 20 = 5 (20 ÷ 4 = 5)

We get 5.

So it is right!

Let's look back.

First: write part over whole.

Then: make the bottom 100.

Last: check.

Answer
= 25%

Your turn

Try this one yourself, then check:

What percent of 20 is 3?
Show the answer
15%

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