Percentage Models

Concept

The term “percentage” was adapted from the Latin word “per centum”, which means “by the hundred”. Percentages are fractions with 100 as the denominator. In other words, it is the relation between part and whole where the value of whole is always taken as 100.

Rules

$\fn_phv 1%=\frac{1}{100}$

x = number of shaded blocks.
y = number of total blocks.

$\fn_phv Fraction\;model =\frac{number\;of\;shaded\;blocks\;(x)}{number\;of\;total\;blocks\;(y)}$

Convert the fraction $\fn_phv \frac{x}{y}$ to an equivalent fraction $\fn_phv \frac{z}{100}= z%$

Example

What percent of the model is shaded?

Solution

The model can be written as a fraction.

$\fn_phv Fraction\;model =\frac{number\;of\;shaded\;blocks\;(x)}{number\;of\;total\;blocks\;(y)}$

= $\fn_phv \frac{9}{10}$

Convert the fraction model into a percentage by using equivalent fractions.

$\fn_phv \frac{9\times 10}{10\times 10}=\frac{90}{100}={\color{Red} 90%}$

Practice Percentage Models

Practice Problem 1

Use the slider and shade the area model to show 53%.

Practice Problem 2

What percent of the model is shaded?

Practice Problem 3

What percent of the model is shaded?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol “%”. A Percent is a part to whole ratio that compare a number to 100.

Pre-requisite Skills
Fractions – Part of a Whole
Equivalent Fractions