# What is the proportion of 240 percent

### Determine the proportion

Felix likes to eat strawberry jam for life. At breakfast he reads the list of ingredients to his mother. After the strawberries comes the sugar.

For every 100 g of strawberry jam there are 40 g of sugar.

Felix wants to know how high it is **proportion of** of sugar in the jam.

So here is the whole (100 g) and the fraction (40 g). You are looking for the fraction that indicates the proportion.

### Calculation paths

There are 2 ways to determine the proportion. At some point you will definitely only take the second route, because it is faster.

**Way 1: Think of an intermediate step.**

You want to get from the whole (100 g) to the fraction (40 g).

Think of an intermediate step. 1 always works.

You can shorten $$ 40/100 $$: $$ 40/100 = 4/10 = 2/5 $$

The proportion of 40 g to 100 g is $$ 2/5 $$.

You can also think of other intermediate steps:

**Way 2: do the math right away**

You may already see that you don't actually need an intermediate step.

You calculate: $$ (fraction) / (whole) $$

So: $$ (40 g) / (100 g) = 4/10 = 2/5 $$

How to calculate the proportion:

$$ portion = (fraction) / (whole) $$

You gave the whole and the fraction. Then you can calculate the fraction of the whole.

As soon as possible.

### Even more tasks

**example 1**

In a class with 28 students, 20 are on Instagram. What is the percentage of students who use Instagram?

Bill: $$ 20/28 = 10/14 = 5/7 $$

The share is $$ 5/7 $$.

**Example 2**

In 2016 there were around 2,500,000 apps in the Google Play Store.

Around 500,000 of these are game apps. What is the share of game apps?

Calculation: $$ 500000/2500000 = 5/25 = 1/5 $$

The share is $$ 1/5 $$.

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