6.1 Understand Percent

Before you get started, take this readiness quiz.

Translate “the ratio of $33$ to $\text{5}\"$ into an algebraic expression.
If you missed this problem, review the reference.

Write $\frac{3}{5}$ as a decimal.
If you missed this problem, review the reference.

Write $0.62$ as a fraction.
If you missed this problem, review the reference.

According to the Public Policy Institute of California $\left(2010\right) , \text{44}\%$ of parents of public school children would like their youngest child to earn a graduate degree. Write this percent as a ratio.

Write the percent as a ratio.

According to a survey, $\text{89}\%$ of college students have a smartphone.

Write the percent as a ratio.

A study found that $\text{72}\%$ of U.S. teens send text messages regularly.

In $2007 ,$ according to a U.S. Department of Education report, $21$ out of every $100$ first-time freshmen college students at $\text{4}-\text{year}$ public institutions took at least one remedial course. Write this as a ratio and then as a percent.

Write as a ratio and then as a percent: The American Association of Community Colleges reported that $62$ out of $100$ full-time community college students balance their studies with full-time or part time employment.

Write as a ratio and then as a percent: In response to a student survey, $41$ out of $100$ Santa Ana College students expressed a goal of earning an Associate's degree or transferring to a four-year college.

Convert each percent to a fraction:

1. ⓐ $\text{36}\%$
2. ⓑ $\text{125}\%$

Convert each percent to a fraction:

1. ⓐ $\text{48}\%$
2. ⓑ $\text{110}\%$

Convert each percent to a fraction:

1. ⓐ $\text{64}\%$
2. ⓑ $\text{150}\%$

Convert each percent to a fraction:

1. ⓐ $\text{24}.\text{5}\%$
2. ⓑ $33 \frac{1}{3} \%$

Convert each percent to a fraction:

1. ⓐ $\text{64}.\text{4}\%$
2. ⓑ $66 \frac{2}{3} \%$

Convert each percent to a fraction:

1. ⓐ $\text{42}.\text{5}\%$
2. ⓑ $8 \frac{3}{4} \%$

Convert each percent to a decimal:

1. ⓐ $\text{6}\%$
2. ⓑ $\text{78}\%$

Convert each percent to a decimal:

1. ⓐ $\text{9}\%$
2. ⓑ $\text{87}\%$

Convert each percent to a decimal:

1. ⓐ $\text{3}\%$
2. ⓑ $\text{91}\%$

Convert each percent to a decimal:

1. ⓐ $\text{135}\%$
2. ⓑ $\text{12}.\text{5}\%$

Convert each percent to a decimal:

1. ⓐ $\text{115}\%$
2. ⓑ $\text{23}.\text{5}\%$

Convert each percent to a decimal:

1. ⓐ $\text{123}\%$
2. ⓑ $\text{16}.\text{8}\%$

Among a group of business leaders, $\text{77}\%$ believe that poor math and science education in the U.S. will lead to higher unemployment rates.

Convert the percent to: ⓐ a fraction ⓑ a decimal

Convert the percent to: ⓐ a fraction and ⓑ a decimal

Twitter's share of web traffic jumped $\text{24}\%$ when one celebrity tweeted live on air.

Convert the percent to: ⓐ a fraction and ⓑ a decimal

The U.S. Census estimated that in $2013 , \text{44}\%$ of the population of Boston age $25$ or older have a bachelor's or higher degrees.

Convert the percent to: ⓐ a fraction, and ⓑ a decimal

The probability that it will rain Monday is $\text{30}\% .$

Convert the percent to: ⓐ a fraction, and ⓑ a decimal

The probability of getting heads three times when tossing a coin three times is $\text{12}.\text{5}\% .$

Convert each decimal to a percent: ⓐ $0.05$ ⓑ $0.83$

Convert each decimal to a percent: ⓐ $0.01$ ⓑ $0.17 .$

Convert each decimal to a percent: ⓐ $0.04$ ⓑ $0.41$

Convert each decimal to a percent: ⓐ $1.05$ ⓑ $0.075$

Convert each decimal to a percent: ⓐ $1.75$ ⓑ $0.0825$

Convert each decimal to a percent: ⓐ $2.25$ ⓑ $0.0925$

Convert each fraction or mixed number to a percent: ⓐ $\frac{5}{8}$ ⓑ $\frac{11}{4}$ ⓒ $3 \frac{2}{5}$

Convert each fraction or mixed number to a percent: ⓐ $\frac{7}{8}$ ⓑ $\frac{9}{4}$ ⓒ $1 \frac{3}{5}$

Convert $\frac{5}{7}$ to a percent.

Convert the fraction to a percent: $\frac{3}{7}$

Convert the fraction to a percent: $\frac{4}{7}$

Convert the fraction to a percent:

According to the U.S. Census Bureau, about $\frac{1}{9}$ of United States housing units have just $1$ bedroom.

Convert the fraction to a percent:

According to the U.S. Census Bureau, about $\frac{1}{6}$ of Colorado residents speak a language other than English at home.

Write each percent as a ratio.

In $2014 ,$ the unemployment rate for those with only a high school degree was $\text{6}.\text{0}\% .$

Write each percent as a ratio.

The unemployment rate for those with Bachelor's degrees was $\text{3}.\text{2}\%$ in $2014 .$

Write as

1. ⓐ a ratio and
2. ⓑ a percent

$57$ out of $100$ nursing candidates received their degree at a community college.

Write as

1. ⓐ a ratio and
2. ⓑ a percent

$42$ out of $100$ first-time freshmen students attend a community college.

Convert each percent to a fraction and simplify all fractions.

$\text{4}\%$

Convert each percent to a fraction and simplify all fractions.

$\text{17}\%$

Convert each percent to a fraction and simplify all fractions.

$\text{52}\%$

Convert each percent to a fraction and simplify all fractions.

$\text{125}\%$

Convert each percent to a fraction and simplify all fractions.

$\text{37}.\text{5}\%$

Convert each percent to a fraction and simplify all fractions.

$\text{18}.\text{4}\%$

Convert each percent to a fraction and simplify all fractions.

$9 \frac{1}{2} \%$

Convert each percent to a fraction and simplify all fractions.

$5 \frac{1}{3} \%$

Convert each percent to a decimal.

$\text{5}\%$

Convert each percent to a decimal.

$\text{1}\%$

Convert each percent to a decimal.

$\text{63}\%$

Convert each percent to a decimal.

$\text{40}\%$

Convert each percent to a decimal.

$\text{115}\%$

Convert each percent to a decimal.

$\text{150}\%$

Convert each percent to a decimal.

$\text{21}.\text{4}\%$

Convert each percent to a decimal.

$\text{7}.\text{8}\%$

Convert each percent to

1. ⓐ a simplified fraction and
2. ⓑ a decimal

In $2010 , \text{1}.\text{5}\%$ of home sales had owner financing. (Source: Bloomberg Businessweek, 5/23–29/2011)

Convert each percent to

1. ⓐ a simplified fraction and
2. ⓑ a decimal

According to government data, in $2013$ the number of cell phones in India was $\text{70}.\text{23}\%$ of the population.

Convert each percent to

1. ⓐ a simplified fraction and
2. ⓑ a decimal

A couple plans to have two children. The probability they will have two girls is $\text{25}\% .$

Convert each percent to

1. ⓐ a simplified fraction and
2. ⓑ a decimal

According to the local weather report, the probability of thunderstorms in New York City on July $15$ is $\text{60}\% .$

Convert each decimal to a percent.

$0.01$

Convert each decimal to a percent.

$0.18$

Convert each decimal to a percent.

$1.35$

Convert each decimal to a percent.

$3$

Convert each decimal to a percent.

$0.009$

Convert each decimal to a percent.

$0.0875$

Convert each decimal to a percent.

$1.5$

Convert each decimal to a percent.

$2.254$

Convert each fraction to a percent.

$\frac{1}{4}$

Convert each fraction to a percent.

$\frac{3}{8}$

Convert each fraction to a percent.

$\frac{7}{4}$

Convert each fraction to a percent.

$6 \frac{4}{5}$

Convert each fraction to a percent.

$\frac{5}{12}$

Convert each fraction to a percent.

$2 \frac{2}{3}$

Convert each fraction to a percent.

$\frac{3}{7}$

Convert each fraction to a percent.

$\frac{5}{9}$

Convert each fraction to a percent.

$\frac{1}{4}$ of washing machines needed repair.

Convert each fraction to a percent.

According to the National Center for Health Statistics, in $2012 , \frac{7}{20}$ of American adults were obese.

Complete the table.

Sales tax Felipa says she has an easy way to estimate the sales tax when she makes a purchase. The sales tax in her city is $\text{9}.\text{05}\% .$ She knows this is a little less than $\text{10}\% .$

1. ⓐ Convert $\text{10}\%$ to a fraction.
2. ⓑ Use your answer from ⓐ to estimate the sales tax Felipa would pay on a $\$\text{95}$ dress.

Write seller $\text{C}’\text{s}$ rating as a fraction and a decimal.

Write seller $\text{A}’\text{s}$ rating as a percent and a decimal.

Convert $\text{25}\% , \text{50}\% , \text{75}\% , \text{and} \text{100}\%$ to fractions. Do you notice a pattern? Explain what the pattern is.

When the Szetos sold their home, the selling price was $\text{500}\%$ of what they had paid for the house $\text{30 years}$ ago. Explain what $\text{500}\%$ means in this context.