# A #1/2# cup serving of soup has a total of #70# Calories, #10# of which are from fat. What percentage of the Calories are from fat?

##### 2 Answers

#### Explanation:

Write the amount of calories as fat as a fraction of the total calories

To find the percentage,

It is not clear if the 10 is a count of calories or cups.

This is focused more on teaching and explaining percentage. So it is a bit long.

#### Explanation:

Percentage is basically a fraction. However it is a special fraction as the bottom number (denominator) is always fixed at 100.

There are two ways of writing percentage and they both mean EXACTLY the same thing.

Suppose we have the unknown percentage of

Another way of writing

So we have:

As these both mean the same thing then obviously

So when people write something like:

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As a fraction of the whole this is

Multiply both sides by

So we have

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Multiply by 1 and you do not change the value. However 1 comes in many forms.