Calculate 10% of 70 Easy

The question

Question: work out 10% of 70.

Percent means out of 100.

So 10% is 10 out of 100: one tenth.

To find 10%, we divide by 10.

1 Find 10%

70 divided by 10 is 7.

So 10% of 70 is 7.

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Calculate 45% of 120 Medium

The question

Question: work out 45% of 120.

Percent means out of 100.

So 10% is 10 out of 100: one tenth.

To find 10%, we divide by 10.

1 Find 10%

120 divided by 10 is 12.

2 Build 45%

We build 45% from easy pieces: 45% is 40% and 5%.

40% is 4 times 10%.

4 times 12 is 48.

5% is half of 10%.

Half of 12 is 6.

3 Add the pieces

Now we add the pieces.

48 plus 6 is 54.

So 45% of 120 is 54.

Let's look back.

First: find 10%.

Then: build 45%.

Last: add the pieces.

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What percent of 60 is 75 Harder

The question

Question: what percent of 60 is 75?

Percent means out of 100.

So we ask: 75 out of 60 is how many out of 100?

1 Write part over whole

75 is the part.

60 is the whole.

We write part over whole.

2 Simplify

75 and 60 can both be divided by 15.

That keeps the numbers small.

75 divided by 15 is 5.

60 divided by 15 is 4.

3 Make the bottom 100

Percent means out of 100.

4 times 25 is 100.

So we multiply the top and the bottom by 25.

25/25 is 1.

Times 1 does not change the size.

5 times 25 is 125.

4 times 25 is 100.

125 out of 100 is 125%.

So 75 is 125% of 60.

4 Check

Let's check: is 125% of 60 really 75?

125% is 125/100.

Of means times.

To keep the numbers small, we divide the top and the bottom by 25.

That is 5/4.

60 divided by 4 is 15.

So it is 5 times 15, that is 75.

We get 75.

So it is right!

Let's look back.

First: write part over whole.

Then: simplify.

Then: make the bottom 100.

Last: check.

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