Percentage
Concept 2
Each grid above has 100 boxes. For each grid, the ratio of the number of shaded boxes to the total number of boxes can be represented as a fraction.
Comparing Shaded Boxes to Total BoxesGrid Fraction Percentage
1 96%
2 9%
3 77%
Definition: A percent is a ratio whose second term is 100. Percent means parts per hundred. The word comes from the Latin phrase per centum, which means per hundred. In mathematics, we use the symbol % for percent
We can also show percents as decimals. Here’s how:
To change a percentage into a decimal, take up the % sign and divide by 100.
20%= .208%=.08Challenge: What would you do to change a
decimal to a percentage?
Multiply by 100 and attach a % sign.
Let's look at some examples in which we are asked to convert between, fractions, decimals and percents.
Fraction Decimal Percent
96/100 .96 96%
35/100 .35 35%
8/100 .08 8%
Your task: Write each fraction as a percent and as a decimal.
Extension:
Fraction Decimal Percent
5/100
80/100
2/100
17/100
Fraction Decimal Percent
2/50
30/50
45/50
5/10
25/100
3/20
Let’s try and convert them the other way:
Fraction Decimal Percent
.55
70%
85%
.03
17%
0.7
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