6.2 Solve General Applications of Percent

What number is $\text{45\%}$ of $120?$

What number is $\text{65\%}$ of $100?$

What number is $\text{24\%}$ of $112?$

What number is $\text{36\%}$ of $124?$

$\text{250\%}$ of $65$ is what number?

$\text{150\%}$ of $90$ is what number?

$\text{800\%}$ of $\mathrm{2,250}$ is what number?

$\text{600\%}$ of $\mathrm{1,740}$ is what number?

$28$ is $\text{25\%}$ of what number?

$36$ is $\text{25\%}$ of what number?

$81$ is $\text{75\%}$ of what number?

$93$ is $\text{75\%}$ of what number?

$\text{8.2\%}$ of what number is $\text{\$2.87}?$

$\text{6.4\%}$ of what number is $\text{\$2.88}?$

$\text{11.5\%}$ of what number is $\text{\$108.10}?$

$\text{12.3\%}$ of what number is $\text{\$92.25}?$

What percent of $260$ is $78?$

What percent of $215$ is $86?$

What percent of $\mathrm{1,500}$ is $540?$

What percent of $\mathrm{1,800}$ is $846?$

$30$ is what percent of $20?$

$50$ is what percent of $40?$

$840$ is what percent of $480?$

$790$ is what percent of $395?$

Geneva treated her parents to dinner at their favorite restaurant. The bill was $\text{\$74.25}.$ She wants to leave $\text{16\%}$ of the total bill as a tip. How much should the tip be?

When Hiro and his co-workers had lunch at a restaurant the bill was $\text{\$90.50}.$ They want to leave $\text{18\%}$ of the total bill as a tip. How much should the tip be?

Trong has $\text{12\%}$ of each paycheck automatically deposited to his savings account. His last paycheck was $\text{\$2,165}.$ How much money was deposited to Trong's savings account?

Cherise deposits $\text{8\%}$ of each paycheck into her retirement account. Her last paycheck was $\text{\$1,485}.$ How much did Cherise deposit into her retirement account?

One serving of oatmeal has $8$ grams of fiber, which is $\text{33\%}$ of the recommended daily amount. What is the total recommended daily amount of fiber?

One serving of trail mix has $67$ grams of carbohydrates, which is $\text{22\%}$ of the recommended daily amount. What is the total recommended daily amount of carbohydrates?

A bacon cheeseburger at a popular fast food restaurant contains $\mathrm{2,070}$ milligrams (mg) of sodium, which is $\text{86\%}$ of the recommended daily amount. What is the total recommended daily amount of sodium?

A grilled chicken salad at a popular fast food restaurant contains $650$ milligrams (mg) of sodium, which is $\text{27\%}$ of the recommended daily amount. What is the total recommended daily amount of sodium?

The nutrition fact sheet at a fast food restaurant says the fish sandwich has $380$ calories, and $171$ calories are from fat. What percent of the total calories is from fat?

The nutrition fact sheet at a fast food restaurant says a small portion of chicken nuggets has $190$ calories, and $114$ calories are from fat. What percent of the total calories is from fat?

Emma gets paid $\text{\$3,000}$ per month. She pays $\text{\$750}$ a month for rent. What percent of her monthly pay goes to rent?

Dimple gets paid $\text{\$3,200}$ per month. She pays $\text{\$960}$ a month for rent. What percent of her monthly pay goes to rent?

Tamanika got a raise in her hourly pay, from $\text{\$15.50}$ to $\text{\$17.55}.$ Find the percent increase.

Ayodele got a raise in her hourly pay, from $\text{\$24.50}$ to $\text{\$25.48}.$ Find the percent increase.

Annual student fees at the University of California rose from about $\text{\$4,000}$ in $2000$ to about $\text{\$9,000}$ in $2014.$ Find the percent increase.

The price of a share of one stock rose from $\text{\$12.50}$ to $\text{\$50}.$ Find the percent increase.

According to Time magazine $\left(\text{7/19/2011}\right)$ annual global seafood consumption rose from $22$ pounds per person in $1960$ to $38$ pounds per person today. Find the percent increase. (Round to the nearest tenth of a percent.)

In one month, the median home price in the Northeast rose from $\text{\$225,400}$ to $\text{\$241,500}.$ Find the percent increase. (Round to the nearest tenth of a percent.)

A grocery store reduced the price of a loaf of bread from $\text{\$2.80}$ to $\text{\$2.73}.$ Find the percent decrease.

The price of a share of one stock fell from $\text{\$8.75}$ to $\text{\$8.54}.$ Find the percent decrease.

Hernando's salary was $\text{\$49,500}$ last year. This year his salary was cut to $\text{\$44,055}.$ Find the percent decrease.

From $2000$ to $2010,$ the population of Detroit fell from about $\mathrm{951,000}$ to about $\mathrm{714,000}.$ Find the percent decrease. (Round to the nearest tenth of a percent.)

In one month, the median home price in the West fell from $\text{\$203,400}$ to $\text{\$192,300}.$ Find the percent decrease. (Round to the nearest tenth of a percent.)

Sales of video games and consoles fell from $\text{\$1,150}$ million to $\text{\$1,030}$ million in one year. Find the percent decrease. (Round to the nearest tenth of a percent.)

Tipping At the campus coffee cart, a medium coffee costs $\text{\$1.65}.$ MaryAnne brings $\text{\$2.00}$ with her when she buys a cup of coffee and leaves the change as a tip. What percent tip does she leave?

Late Fees Alison was late paying her credit card bill of $\text{\$249}.$ She was charged a $\text{5\%}$ late fee. What was the amount of the late fee?

Without solving the problem $“44$ is $\text{80\%}$ of what number”, think about what the solution might be. Should it be a number that is greater than $44$ or less than $44?$ Explain your reasoning.

Without solving the problem “What is $\text{20\%}$ of $300?”$ think about what the solution might be. Should it be a number that is greater than $300$ or less than $300?$ Explain your reasoning.

After returning from vacation, Alex said he should have packed $\text{50\%}$ fewer shorts and $\text{200\%}$ more shirts. Explain what Alex meant.

Because of road construction in one city, commuters were advised to plan their Monday morning commute to take $\text{150\%}$ of their usual commuting time. Explain what this means.