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Calculate 75% of 64

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

Step by step

The question

Question: work out 75% of 64.

75% of 64

1 Percent

Percent means out of 100.

So 75% is 75/100.

= 75100 × 64

Both 75 and 100 can be divided by 25.

That makes it simpler.

= 75 ÷ 25100 ÷ 25 × 64

So it is 3/4.

= 34 × 64

2 Times and divide

"Of" means times.

of = ×

Before we multiply, we make the numbers smaller.

64 on top and 4 at the bottom both divide by 4.

A top and a bottom divided by the same number: the answer stays the same.

64 and 4: ÷ 4 → 16 and 1

So we multiply smaller numbers.

= 31 × 161

3 times 16 is 48.

= 48

So the answer is 48.

Let's look back.

First: percent.

Last: times and divide.

Answer
= 48

Your turn

Try this one yourself, then check:

Work out 75% of 68
Show the answer
51

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