FutureStarr

11 17 Percentage

## 11 17 Percentage

What's the difference between 12. 5% and 16%? 17%!

### Percentage

via GIPHY

In this section we learn how to express one number as a percentage of annother. For example, by the end of this section we'll have no trouble showing that: $18 = 45\% \ \text{of} \ 40$ We start by learning the method as well as read through a worked example before working through some exercise

You will therefore be able to understand and compare interest rates calculated daily, monthly and yearly. You can also see how to use simple percentage calculators in several different steps to work out complex problems. (Source: www.skillsyouneed.com)

### Number

via GIPHY

In this section we learn how to express one number as a percentage of annother. For example, by the end of this section we'll have no trouble showing that: $18 = 45\% \ \text{of} \ 40$ We start by learning the method as well as read through a worked example before working through some exercises.

A fraction with denominator 100 is called percentage and is denoted by the symbol %. In our daily life, we see a lot of statements with numbers followed by a symbol %. A number followed by % is called a percentage or percent. The term percent comes from the Latin phrase per (Source: www.math-only-math.com)

### Fraction

via GIPHY

Step 2: We write $$\frac{0.45}{1}$$ as an equivalent fraction over $$100$$. To do this we multiply the numerator and the denominator by $$100$$: $\frac{0.45}{1} = \frac{0.45 \times 100}{1\times 100} = \frac{45}{100}$ Finally, since $$\frac{45}{100} = 45\%$$ we can state that $$18$$ is $$45\%$$ of $$40$$

Step 2: we write $$\frac{3}{5}$$ as an equivalent fraction over $$100$$. Using the fact that $$100 = 5\times 20$$, we multiply both the numerator and the denominator by $$20$$ to obtain our fraction: $\frac{3}{5} = \frac{3\times 20}{5\times 20} = \frac{60}{100}$ Finally, since $$\frac{60}{100} = 60\%$$ we can state that $$3$$ is $$60\%$$ of $$5$$. (Source: www.radfordmathematics.com)

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