Percent: a ratio of a number to 100 (per-cent = ‘per one ...
Percent: a ratio of a number to 100 (per-cent = ‘per one hundred’)
Ex. 8% means “8 per hundred,” or “8 out of 100.” (8/100)
Because percent means “per hundred,” 100% means, “100 out of 100.” This is why 100% is often used to mean “all” or “the whole thing”. (Think of money…$1.00 is considered 100%, or all)
0% 25% 50% 75% 100%
0 1/4 1/2 3/4 1/1
0 .25 .50 .75 1
Recognizing Percent Shaded:
What is the percent that is shaded?
• We know that it is less than 50% because it is a little less than half shaded. However, it is more than 25% shaded. The answer would be close to 35%.
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Writing percents as fractions in simplest form:
Ex. 40% = 40 40 ÷ 20 = 2
100 100 ÷ 20 = 5
Ex. Up to 55% of the heat lost by your body can be lost through your
head. Write 55% as a fraction in simplest form.
55% = 55 ÷ 5 = 11
100 ÷ 5 = 20
Changing PERCENT to DECIMAL
• Remove the percent sign and move the decimal two places to the LEFT
Ex. 62% = .62
Ex. 145% = 1.45
Changing DECIMAL to PERCENT
• Move the decimal two places to the RIGHT and put a % sign
Ex. .09 = 9%
Ex. 10.784 = 1078.4%
Ex. .7 = 70%
Fraction to Percent
• When changing a fraction to a percent, multiply the fraction by 100.
o Ex. 7 7 · 100 = 700 = 35
20 20 1 20 1
So…7/20 is 35%
Comparing Fractions/Decimals/and Percents
• When comparing fractions, decimals, and percents, change all numbers to decimals. (It’s the easiest way)
o Ex. 6/9 75% .72
6 ÷ 9 = .67 75% = .75 .72 = .72
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