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Write 3/4 as a percent

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

Step by step

The question

Question: write 3/4 as a percent.

34

1 Make the bottom 100

Percent means out of 100.

So we want a bottom of 100.

4 times 25 is 100.

4 × 25 = 100

We multiply the top and the bottom by 25.

25/25 is 1, so the value stays the same.

= 3 × 254 × 25

3 times 25 is 75.

So we get 75/100.

= 75100

Careful!

As a decimal, 3/4 is 0.75.

But 0.75% means 0.75 out of 100: far too small.

Careful: not 34 = 0.75% ✗

2 Write the percent

75 out of 100 is 75%.

= 75%

3 Check

Let's check: go back.

75% is 75/100.

Divide the top and the bottom by 25.

We get 3/4.

So the answer is right!

Check: 75% = 75100 = 75 ÷ 25100 ÷ 25 = 34

Let's look back.

First: make the bottom 100.

Then: write the percent.

Last: check.

Answer
= 75%

Your turn

Try this one yourself, then check:

24
Show the answer
50%

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