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?
Step | Description | Calculation |
---|---|---|
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?
Step | Description | Calculation |
---|---|---|
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?
Step | Description | Calculation |
---|---|---|
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 |
# | A | B | C | D |
E | F | G | H | I |
J | K | L | M | N |
O | P | Q | R | S |
T | U | V | W | X |
Y | Z |
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