# SSAT Upper Level Math : How to find percentage from a fraction

## Example Questions

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### Example Question #1 : How To Find Percentage From A Fraction

Convert  to a percent.

Explanation:

Percent also means out of one hundred. Set up the following ratio to find the percent value.

Now, solve for , which will be the percent value because in the ratio we set up,  is the numerator of a fraction with a denominator of .

### Example Question #1 : Fractions And Percentage

In a classroom,  out of  students own dogs. What percent of the class owns a dog?

Explanation:

Percent also means out of one hundred. Set up the following ratio to find the percent value.

Now, solve for , which will be the percent value because in the ratio we set up,  is the numerator of a fraction with a denominator of .

### Example Question #1 : How To Find Percentage From A Fraction

of Julian's songs are rock songs. What percentage of his songs are rock songs?

Explanation:

This question wants you to find the percentage equivalent of .

Percent also means out of one hundred. Set up the following ratio to find the percent value.

Now, solve for , which will be the percent value because in the ratio we set up,  is the numerator of a fraction with a denominator of .

### Example Question #1 : How To Find Percentage From A Fraction

Out of all of Ambrose's computer games,  are simulation games. What percentage of Ambrose's games are simulation games?

Explanation:

This question is asking you to convert  into a percent.

Percent also means out of one hundred. Set up the following ratio to find the percent value.

Now, solve for , which will be the percent value because in the ratio we set up,  is the numerator of a fraction with a denominator of .

### Example Question #1 : How To Find Percentage From A Fraction

Convert  into a percentage.

Explanation:

Percent also means out of one hundred. Set up the following ratio to find the percent value.

Now, solve for , which will be the percent value because in the ratio we set up,  is the numerator of a fraction with a denominator of .

### Example Question #1 : Fractions And Percentage

Express  as a percentage.

Explanation:

Percent also means out of one hundred. Set up the following ratio to find the percent value.

Now, solve for , which will be the percent value because in the ratio we set up,  is the numerator of a fraction with a denominator of .

### Example Question #2 : Fractions And Percentage

In a poll,  out of  people claimed that chocolate cake was their favorite dessert. What percentage of people said chocolate cake was their favorite dessert?

Explanation:

The question is asking you to convert  into a percentage.

Percent also means out of one hundred. Set up the following ratio to find the percent value.

Now, solve for , which will be the percent value because in the ratio we set up,  is the numerator of a fraction with a denominator of .

### Example Question #1 : Fractions And Percentage

In a survey,  out of  people said that their favorite sport was ice hockey. What percent of respondents' favorite sport is ice hockey?

Explanation:

The question is asking you to convert  into a percent.

Percent also means out of one hundred. Set up the following ratio to find the percent value.

Now, solve for , which will be the percent value because in the ratio we set up,  is the numerator of a fraction with a denominator of .

### Example Question #1 : How To Find Percentage From A Fraction

In a poll of  students,  of them said math was their favorite subject. What percentage of students claimed math was their favorite subject?

Explanation:

The question is asking you to convert the fraction  into a percentage.

Percent also means out of one hundred. Set up the following ratio to find the percent value.

Now, solve for , which will be the percent value because in the ratio we set up,  is the numerator of a fraction with a denominator of .

### Example Question #1 : How To Find Percentage From A Fraction

In a class of  students,  of them said they have a brother. What percentage of the class has a brother?