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Write 12/25 as a percent

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

Step by step

The question

Question: write 12/25 as a percent.

1225

1 Make the bottom 100

Percent means out of 100.

So we want a bottom of 100.

25 times 4 is 100.

25 × 4 = 100

We multiply the top and the bottom by 4.

4/4 is 1, so the value stays the same.

= 12 × 425 × 4

12 times 4 is 48.

So we get 48/100.

= 48100

Careful!

As a decimal, 12/25 is 0.48.

But 0.48% means 0.48 out of 100: far too small.

Careful: not 1225 = 0.48% ✗

2 Write the percent

48 out of 100 is 48%.

= 48%

3 Check

Let's check: go back.

48% is 48/100.

Divide the top and the bottom by 4.

We get 12/25.

So the answer is right!

Check: 48% = 48100 = 48 ÷ 4100 ÷ 4 = 1225

Let's look back.

First: make the bottom 100.

Then: write the percent.

Last: check.

Answer
= 48%

Your turn

Try this one yourself, then check:

1725
Show the answer
68%

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