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3 is what percent of 200

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

Step by step

The question

Question: what percent of 200 is 3?

What percent of 200 is 3?

Percent means out of 100.

So we ask: 3 out of 200 is how many out of 100?

percent = out of 100

1 Write part over whole

3 is the part.

200 is the whole.

We write part over whole.

= 3200
partwhole

2 Multiply by 100

Percent means out of 100.

The bottom 200 can't easily become 100.

So we multiply the fraction by 100.

= 3 × 100200

3 times 100 is 300.

300 divided by 200 is 1.5.

So it is 1.5%.

= 1.5%
300 ÷ 200 = 1.5

So 3 is 1.5% of 200.

Let's look back.

First: write part over whole.

Last: multiply by 100.

Answer
300 ÷ 200 = 1.5

Your turn

Try this one yourself, then check:

What percent of 200 is 7?
Show the answer
3.5%

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