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7 is 10% of what number

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

Step by step

The question

Question: 7 is 10% of what number?

10% of ? = 7

We write it like this: 10% of the number is 7.

7 is a part.

The whole number is what we want.

? = the whole number

Careful!

Many people work out 10% of 7.

But 7 is not the whole.

It is only 10% of it.

Careful: not 10% of 7 ✗

1 Write the percent as a fraction

Percent means out of 100.

So 10% is 10/100.

10% = 10100

10 and 100 can both be divided by 10.

So 10% is 1/10: 1 of 10 equal parts.

= 10 ÷ 10100 ÷ 10 = 110

2 Draw the whole

One part is 7.

So every part is 7.

3 Find the whole

The whole is 10 parts.

10 times 7 is 70.

10 parts = 10 × 7 = 70

So 7 is 10% of 70.

4 Check

Let's check: is 10% of 70 really 7?

10% is 1/10.

Of means times.

70 divided by 10 is 7.

10% of 70 = 110 × 70 = 7 (70 ÷ 10 = 7)

We get 7.

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
10 parts = 10 × 7 = 70

Your turn

Try this one yourself, then check:

10% of ? = 9
Show the answer
90

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