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50% of what number is 14

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

Step by step

The question

Question: 14 is 50% of what number?

50% of ? = 14

We write it like this: 50% of the number is 14.

14 is a part.

The whole number is what we want.

? = the whole number

Careful!

Many people work out 50% of 14.

But 14 is not the whole.

It is only 50% of it.

Careful: not 50% of 14 ✗

1 Write the percent as a fraction

Percent means out of 100.

So 50% is 50/100.

50% = 50100

50 and 100 can both be divided by 50.

So 50% is 1/2: 1 of 2 equal parts.

= 50 ÷ 50100 ÷ 50 = 12

2 Draw the whole

One part is 14.

So every part is 14.

3 Find the whole

The whole is 2 parts.

2 times 14 is 28.

2 parts = 2 × 14 = 28

So 14 is 50% of 28.

4 Check

Let's check: is 50% of 28 really 14?

50% is 1/2.

Of means times.

28 divided by 2 is 14.

50% of 28 = 12 × 28 = 14 (28 ÷ 2 = 14)

We get 14.

So it is right!

Let's look back.

First: write the percent as a fraction.

Then: draw the whole.

Then: find the whole.

Last: check.

Answer
2 parts = 2 × 14 = 28

Your turn

Try this one yourself, then check:

50% of ? = 9
Show the answer
18

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