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Write 7/20 as a percent

Step by step, with the reason for every step · Percents, decimals and fractions · Foundations

Step by step

The question

Question: write 7/20 as a percent.

720

1 Make the bottom 100

Percent means out of 100.

So we want a bottom of 100.

20 times 5 is 100.

20 × 5 = 100

We multiply the top and the bottom by 5.

5/5 is 1, so the value stays the same.

= 7 × 520 × 5

7 times 5 is 35.

So we get 35/100.

= 35100

Careful!

As a decimal, 7/20 is 0.35.

But 0.35% means 0.35 out of 100: far too small.

Careful: not 720 = 0.35% ✗

2 Write the percent

35 out of 100 is 35%.

= 35%

3 Check

Let's check: go back.

35% is 35/100.

Divide the top and the bottom by 5.

We get 7/20.

So the answer is right!

Check: 35% = 35100 = 35 ÷ 5100 ÷ 5 = 720

Let's look back.

First: make the bottom 100.

Then: write the percent.

Last: check.

Answer
= 35%

Your turn

Try this one yourself, then check:

725
Show the answer
28%

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