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Write 2/3 as a percent

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

Step by step

The question

Question: write 2/3 as a percent.

23

1 Multiply by 100%

Percent means out of 100.

But 3 does not go into 100 or 1000.

100% is all of it: 1 whole.

Times 1 does not change the size.

100% = 1 whole

So we multiply by 100%.

= 23 × 100%

2 times 100 is 200.

So it is 200/3 percent.

= 2 × 1003% = 2003%

2 Divide

200 divided by 3 is 66, with 2 left over.

200 ÷ 3 = 66 r 2

The 2 left over is still divided by 3: 2/3.

So it is 66⅔%.

= 6623%

Careful!

66% is not exact.

The 2 left over is part of the answer too: two thirds more.

Careful: not 66% ✗

3 Check

Let's check.

3 times our answer should be 2 times 100%, because 3 times 2/3 is 2.

3 times 66 is 198.

3 times 2/3 is 2.

3 × 66% = 198%, 3 × 23% = 2%

198 plus 2 is 200%: 2 wholes.

So the answer is right!

198% + 2% = 200% = 2 × 100%

Let's look back.

First: multiply by 100%.

Then: divide.

Last: check.

Answer
Careful: not 66% ✗

Your turn

Try this one yourself, then check:

Write 13 as a percent
Show the answer
3313%

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