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7% of what number is 14

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

Step by step

The question

Question: 14 is 7% of what number?

7% of ? = 14

We write it like this: 7% of the number is 14.

14 is a part.

The whole number is what we want.

? = the whole number

Careful!

Many people work out 7% of 14.

But 14 is not the whole.

It is only 7% of it.

Careful: not 7% of 14 ✗

1 Find 1%

7% is 7 lots of 1%.

So we find 1% first.

7% = 7 × 1%

1% is 14 divided by 7: 2.

1% of ? = 14 ÷ 7 = 2

2 Find 100%

The whole number is 100%: 100 lots of 1%.

100% = the whole

2 times 100 is 200.

100% of ? = 2 × 100 = 200

So 14 is 7% of 200.

3 Check

Let's check: is 7% of 200 really 14?

7% is 7/100.

Of means times.

7% of 200 = 7100 × 200

200 divided by 100 is 2.

7 times 2 is 14.

= 7 × 2 = 14 (200 ÷ 100 = 2)

We get 14.

So it is right!

Let's look back.

First: find 1%.

Then: find 100%.

Last: check.

Answer
100% of ? = 2 × 100 = 200

Your turn

Try this one yourself, then check:

8% of ? = 16
Show the answer
200

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