What percent of 40 is 40 Step by Step

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The question

Question: what percent of 40 is 40?

What percent of 40 is 40?

Percent means out of 100.

So we ask: 40 out of 40 is how many out of 100?

percent = out of 100

1 Write part over whole

40 is the part.

40 is the whole.

We write part over whole.

= 4040

partwhole

2 Simplify

40 and 40 can both be divided by 40.

That keeps the numbers small.

= 40 ÷ 4040 ÷ 40

40 divided by 40 is 1.

= 11

3 Make the bottom 100

Percent means out of 100.

1 times 100 is 100.

So we multiply the top and the bottom by 100.

= 1 × 1001 × 100

100/100 is 1.

Times 1 does not change the size.

100100 = 1

1 times 100 is 100.

= 100100

100 out of 100 is 100%.

= 100%

So 40 is 100% of 40.

4 Check

Let's check: is 100% of 40 really 40?

100% is 100/100.

Of means times.

To keep the numbers small, we divide the top and the bottom by 100.

100% of 40 = 100100 × 40 = 100 ÷ 100100 ÷ 100 × 40

That is 1.

1 times 40 is 40.

= 1 × 40 = 40

We get 40.

So it is right!

Let's look back.

First: write part over whole.

Then: simplify.

Then: make the bottom 100.

Last: check.

Answer