Percent is a ratio meaning for every 100 parts. The symbol for percent is '%'. 50% means 50 parts out of 100 parts, or 50 / 100 = 0.5.
To convert a ratio to percentage, divide the numerator by the denominator, then multiply by 100 and add the percent sign.
Example 1: There are 20 students in a classroom. 9 of the students are girls. What percentage of the students are girls?
|1||Find the ratio. Since 9 out of 20 students are girls, the ratio is 9 / 20.||9 / 20|
|2||Divide the ratio.||9 / 20 = 0.45|
|3||Multiply by 100.||0.45 · 100 = 45|
|4||Add the percent sign.||45%|
|Table 1: Convert a ratio to a percentage example 1|
Example 2: There are 250 students in a school. 100 students prefer strawberry ice cream over vanilla ice cream. What percentage of students prefer strawberry ice cream?
|1||Find the ratio. Since 100 out of 250 students prefer strawberry ice cream, the ratio is 100 / 250.||100 / 250|
|2||Divide the ratio.||100 / 250 = 0.4|
|3||Multiply by 100.||0.4 · 100 = 40|
|4||Add the percent sign.||40%|
|Table 2: Convert a ratio to a percentage example 2|
To convert a percentage to a ratio, remove the percent sign, divide the percentage by 100, then multiply by the total population. You may need to round the result to the nearest whole number.
Example 3: If 27% of voters voted for Jamathan Johnson and there were 64 voters, how many people voted for Jamathan Johnson?
|1||Remove the percent sign.||27% becomes 27.|
|2||Divide the percentage by 100.||27 / 100 = 0.27.|
|3||Multiply by the total population.||0.27 · 364 = 98.28.|
|4||Round to the nearest whole number.||98.28 rounded to the nearest whole number is 98.|
|5||98 of 367 voters voted for Jamathan Johnson.||98 / 367.|
|Table 3: Convert a percentage to a ratio|
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