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## How to Solve Percent Problems

Basic math & pre-algebra all-in-one for dummies (+ chapter quizzes online).

## Sign up for the Dummies Beta Program to try Dummies' newest way to learn.

Solve simple percent problems.

Finding 25% of a number: Remember that 25% equals 1/4, so to find 25% of a number, divide it by 4:

To find 20% of a number, move the decimal point one place to the left and double the result:

## Make tough-looking percent problems easy

Suppose someone wants you to figure out the following:

As another example, suppose you want to find

Again, finding 7% is tricky, but finding 200% is simple, so switch the problem around:

Above, you learned that to find 200% of any number, you just multiply that number by 2:

7% of 200 = 200% of 7 = 2 7 = 14

## Solve more-difficult percent problems

Here’s how to find any percent of any number:

Change the word of to a multiplication sign and the percent to a decimal.

So, to find 35% of 80, you would rewrite it as:

Solve the problem using decimal multiplication.

Here’s what the example looks like:

Now you can solve the problem with decimal multiplication:

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## How to Solve Percent Problems? (+FREE Worksheet!)

Learn how to calculate and solve percent problems using the percent formula.

## Related Topics

- How to Find Percent of Increase and Decrease
- How to Find Discount, Tax, and Tip
- How to Do Percentage Calculations
- How to Solve Simple Interest Problems

## Step by step guide to solve percent problems

- In each percent problem, we are looking for the base, or part or the percent.
- Use the following equations to find each missing section. Base \(= \color{black}{Part} \ ÷ \ \color{blue}{Percent}\) \(\color{ black }{Part} = \color{blue}{Percent} \ ×\) Base \(\color{blue}{Percent} = \color{ black }{Part} \ ÷\) Base

## Percent Problems – Example 1:

\(2.5\) is what percent of \(20\)?

## Percent Problems – Example 2:

\(40\) is \(10\%\) of what number?

## Percent Problems – Example 3:

\(1.2\) is what percent of \(24\)?

## Percent Problems – Example 4:

\(20\) is \(5\%\) of what number?

## Exercises for Calculating Percent Problems

- \(51\) is \(340\%\) of what?
- \(93\%\) of what number is \(97\)?
- \(27\%\) of \(142\) is what number?
- What percent of \(125\) is \(29.3\)?
- \(60\) is what percent of \(126\)?
- \(67\) is \(67\%\) of what?

## Download Percent Problems Worksheet

- \(\color{blue}{15}\)
- \(\color{blue}{104.3}\)
- \(\color{blue}{38.34}\)
- \(\color{blue}{23.44\%}\)
- \(\color{blue}{47.6\%}\)
- \(\color{blue}{100}\)

by: Reza about 3 years ago (category: Articles )

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## How to Solve Percent Problems? 13 Amazing Examples!

// Last Updated: January 20, 2020 - Watch Video //

Ratios and proportions help us in solving problems with percents .

Jenn, Founder Calcworkshop ® , 15+ Years Experience (Licensed & Certified Teacher)

Because a percent is the ratio (fraction) of one number to another.

In other words, its a number divided by 100.

First, we will look at how a percent is created by understanding it is simply a proportion:

## Solving Percents (How-To) – Video

Get access to all the courses and over 450 HD videos with your subscription

Monthly and Yearly Plans Available

## Percentage Calculator

## Calculator Use

## How to Calculate Percentages

Let's explore the three basic percentage problems. X and Y are numbers and P is the percentage:

Read on to learn more about how to figure percentages.

## 1. How to calculate percentage of a number. Use the percentage formula: P% * X = Y

- Convert the problem to an equation using the percentage formula: P% * X = Y
- P is 10%, X is 150, so the equation is 10% * 150 = Y
- Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10
- Substitute 0.10 for 10% in the equation: 10% * 150 = Y becomes 0.10 * 150 = Y
- Do the math: 0.10 * 150 = 15
- So 10% of 150 is 15
- Double check your answer with the original question: What is 10% of 150? Multiply 0.10 * 150 = 15

## 2. How to find what percent of X is Y. Use the percentage formula: Y/X = P%

Example: What percent of 60 is 12?

- Convert the problem to an equation using the percentage formula: Y/X = P%
- X is 60, Y is 12, so the equation is 12/60 = P%
- Do the math: 12/60 = 0.20
- Important! The result will always be in decimal form, not percentage form. You need to multiply the result by 100 to get the percentage.
- Converting 0.20 to a percent: 0.20 * 100 = 20%
- So 20% of 60 is 12.
- Double check your answer with the original question: What percent of 60 is 12? 12/60 = 0.20, and multiplying by 100 to get percentage, 0.20 * 100 = 20%

## 3. How to find X if P percent of it is Y. Use the percentage formula Y/P% = X

Example: 25 is 20% of what number?

- Convert the problem to an equation using the percentage formula: Y/P% = X
- Y is 25, P% is 20, so the equation is 25/20% = X
- Convert the percentage to a decimal by dividing by 100.
- Converting 20% to a decimal: 20/100 = 0.20
- Substitute 0.20 for 20% in the equation: 25/0.20 = X
- Do the math: 25/0.20 = X
- So 25 is 20% of 125
- Double check your answer with the original question: 25 is 20% of what number? 25/0.20 = 125

## Remember: How to convert a percentage to a decimal

## Remember: How to convert a decimal to a percentage

## Percentage Problems

## What is P percent of X?

- Written as an equation: Y = P% * X
- The 'what' is Y that we want to solve for
- Remember to first convert percentage to decimal, dividing by 100
- Solution: Solve for Y using the percentage formula Y = P% * X

## Example: What is 10% of 25?

- Written using the percentage formula: Y = 10% * 25
- First convert percentage to a decimal 10/100 = 0.1
- Y = 0.1 * 25 = 2.5
- So 10% of 25 is 2.5

## Y is what percent of X?

- Written as an equation: Y = P% ? X
- The 'what' is P% that we want to solve for
- Divide both sides by X to get P% on one side of the equation
- Y ÷ X = (P% ? X) ÷ X becomes Y ÷ X = P%, which is the same as P% = Y ÷ X
- Solution: Solve for P% using the percentage formula P% = Y ÷ X

## Example: 12 is what percent of 40?

- Written using the formula: P% = 12 ÷ 40
- P% = 12 ÷ 40 = 0.3
- Convert the decimal to percent
- P% = 0.3 × 100 = 30%
- So 12 is 30% of 40

## Y is P percent of what?

- The 'what' is X that we want to solve for
- Divide both sides by P% to get X on one side of the equation
- Y ÷ P% = (P% × X) ÷ P% becomes Y ÷ P% = X, which is the same as X = Y ÷ P%
- Solution: Solve for X using the percentage formula X = Y ÷ P%

## Example: 9 is 60% of what?

- Writen using the formula: X = 9 ÷ 60%
- Convert percent to decimal
- 60% ÷ 100 = 0.6
- X = 9 ÷ 0.6
- So 9 is 60% of 15

## What percent of X is Y?

## Example: What percent of 27 is 6?

- Written using the formula: P% = 6 ÷ 27
- 6 ÷ 27 = 0.2222
- Convert decimal to percent
- P% = 0.2222 × 100
- P% = 22.22%
- So 22.22% of 27 is 6

## P percent of what is Y?

## Example: 20% of what is 7?

- Written using the formula: X = 7 ÷ 20%
- Convert the percent to a decimal
- 20% ÷ 100 = 0.2
- X = 7 ÷ 0.2
- So 20% of 35 is 7.

## P percent of X is what?

## Y of what is P percent?

- Written as an equation: Y / X = P%
- Multiply both sides by X to get X out of the denominator
- (Y / X) * X = P% * X becomes Y = P% * X
- Divide both sides by P% so that X is on one side of the equation
- Y ÷ P% = (P% * X) ÷ P% becomes Y ÷ P% = X

## Example: 4 of what is 12%?

- Written using the formula: X = 4 ÷ 12%
- Solve for X: X = Y ÷ P%
- 12% ÷ 100 = 0.12
- X = 4 ÷ 0.12
- X = 33.3333
- 4 of 33.3333 is 12%

## What of X is P percent?

- Multiply both sides by X to get Y on one side of the equation
- (Y ÷ X) * X = P% * X becomes Y = P% * X

## Example: What of 25 is 11%?

## Y of X is what percent?

## Example: 9 of 13 is what percent?

- Written using the formula: P% = Y / X
- 9 ÷ 13 = P%
- 9 ÷ 13 = 0.6923
- Convert decimal to percent by multiplying by 100
- 0.6923 * 100 = 69.23%
- 9 ÷ 13 = 69.23%
- So 9 of 13 is 69.23%

## Related Calculators

Find the change in percentage as an increase or decrease using the Percentage Change Calculator .

Solve decimal to percentage conversions with our Decimal to Percent Calculator .

Convert from percentage to decimals with the Percent to Decimal Calculator .

Weisstein, Eric W. " Percent ." From MathWorld -- A Wolfram Web Resource.

Cite this content, page or calculator as:

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## Unit 3: Lesson 6

## Percent word problems

- Your answer should be
- an integer, like 6 6 6 6
- a simplified proper fraction, like 3 / 5 3/5 3 / 5 3, slash, 5
- a simplified improper fraction, like 7 / 4 7/4 7 / 4 7, slash, 4
- a mixed number, like 1 3 / 4 1\ 3/4 1 3 / 4 1, space, 3, slash, 4
- an exact decimal, like 0.75 0.75 0 . 7 5 0, point, 75
- a multiple of pi, like 12 pi 12\ \text{pi} 1 2 pi 12, space, start text, p, i, end text or 2 / 3 pi 2/3\ \text{pi} 2 / 3 pi 2, slash, 3, space, start text, p, i, end text

## How do we calculate percentage?

- Solve equations and inequalities
- Simplify expressions
- Factor polynomials
- Graph equations and inequalities
- Advanced solvers
- All solvers
- Arithmetics
- Determinant
- Percentages
- Scientific Notation
- Inequalities

Enter the value(s) for the required question and click the adjacent Go button.

## PERCENTAGES

This section will explain how to apply algebra to percentage problems.

In algebra problems, percentages are usually written as decimals.

The number of questions correct is indicated by:

Ethan got 44 questions correct.

Explanation: % means "per one hundred". So 80% means 80/100 = 0.80.

Example 2. A math teacher, Dr. Pi, computes a student’s grade for the course as follows:

Darrel’s grade for the course is an 89.6, or a B+.

c. Solve the equation when the sale price is $97.

The retail price for the toilet was $114.12. (Note: the answer was rounded to the nearest cent.)

The following diagram is meant as a visualization of problem 3.

Study Tip: Remember to use descriptive letters to describe the variables.

## CHAPTER 1 REVIEW

## Signed Numbers:

Adding or subtracting like signs: Add the two numbers and use the common sign.

Study Tip: All of these informal rules should be written on note cards.

## Introduction to Variables:

Generate a table to find an equation that relates two variables.

Example 6. A car company charges $14.95 plus 35 cents per mile.

## Simplifying Algebraic Equations:

## Solving Equations:

## Applications of Linear Equations:

This section summarizes the major skills taught in this chapter.

Example 9. A cell phone company charges $12.50 plus 15 cents per minute after the first six minutes.

a. Create a table to find the equation that relates cost and minutes.

c. If the call costs $23.50, how long were you on the phone?

If the call costs $23.50, then you were on the phone for approximately 79 minutes.

## Literal Equations:

A literal equation involves solving an equation for one of two variables.

## Percentages:

Write percentages as decimals.

Example 11. An English teacher computes his grades as follows:

Sue has to get a 78.36 in the final exam to get an 80 for the course.

## Study Tips:

## Math Topics

## How to Solve Percentage Problems Like A Math Expert in 2023

## Calculation of MRP of shop A

## Calculation of MRP of shop B

## What is the percentage?

The basic percentage formula is:

## Is it important to learn about percentage?

Yes, it is! There are several applications where the concept of percentage is used, such as:

## How to solve percentage problems?

Suppose students have to find out the 50% of the 70 is 70/2 = 35

Another example can be 50 % of 60 = 60 /2 = 30.

Follow the following steps to solve the percentage problems:

- Determine the whole or the total amount.
- Divide the amount to express it as a percent . In maximum cases, you need to divide the smaller amount by the higher amount.
- Multiply the result with 100.

## Let’s take an example of it:

Suppose you have 60 marbles. 15 of those marbles are red; what percent of all marbles are red?

The number of red marble = (15/60) x 100

It means that you have 25% red marbles.

## Let’s take one more example of it:

Now, the sales tax would be a percentage of the cost:

Solving the value of x , you will get:

1.00 ÷ 6.00 = x = 0.1666666 = 16.666%

The sales tax rate was 16.66%.

## Let’s understand percentages with more practice questions!

So firstly you must learn that percentage is written as % and it means per one hundred.

Thus we write 60 percent of 200 as follows –

Let’s learn how to solve percentage problems by the x method.

So let’s take the answer is X.

So we will have the equation –

## Let’s take another high-level example

Suppose students have to compute your grades for your course as follows –

Suppose you have scored the following –

This is a more tough situation in how to solve percentage problems. Follow the following steps-

Z = 0.05 x 80 + 0.1 x 70 + 0.85 x 95

Thus the total marks in the percentage you have got is 92.75.

## How do you calculate percentages quickly?

## What is percentage of a number?

## Similar Articles

## Top 19 Tips & Tricks On How To Improve Grades?

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## How to solve the percentage problems

## Solving problems with percentages

## Solving Percent Problems

To solve problems with percent we use the percent proportion shown in Proportions and percent.

Homework Support Solutions is a great way to get help with your homework.

Math is all about finding the right answer, and sometimes that means deciding which equation to use.

## Percentage (How to Calculate, Formula and Tricks)

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## Solving Percent Problems (Sections 2

## How to solve percentages

## Solving Percent Problems

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## Percentage Increase and Decrease Word Problems

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## Tutorial of The Best Methods on How to Solve Percentage

## What is a Percentage?

## Understand about percentages

Percentage is written as ‘%’ in mathematics.

Next point to know in percentages is that it is absolute that is 100 %.

## Learn following percentages – How To solve percentage

100 percent of any number will always be the exact number. It shall be the absolute number.

## Steps : How To solve percentage problems

Let’s learn the steps for solving percentage through examples –

## Example 1 – how to solve percentage problems

Of means the multiply which is written as ‘x’.

## Example 2 – how to solve percentage problems

Now write the % as 1/100 and of as x thus we will have the following result –

Thus 50 is the 25 percent of 200.

## Example 3 – how to solve percentage problems

Suppose you have to find the marks percentage on the basis of following information –

Social science – 80 out of 100

So let’s take the percentage as x%. Thus, we will have the following equation –

Thus the person has got 77.5%.

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## Arithmetic vs Mathematics: The Comparison You Should Know

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## Shift your thinking

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To move from protecting your employees to supporting them, you need to make a few key mental shifts:

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## Embrace short-term stumbles for long-term gains.

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## When things go wrong, model a solutions-oriented, optimistic mindset.

- Luis Velasquez , MBA, Ph.D. is an executive coach who works with senior leaders and their teams to become more cohesive, effective, and resilient. He is the founder and managing partner of Velas Coaching LLC , a leadership facilitator at the Stanford University Graduate School of Business, a former University professor, and research scientist. Connect with him on LinkedIn.
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## How To Begin Solving Our Higher Education Problem | Opinion

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In short, the higher education needs to become rational again.

Emily Austin is a sports reporter and activist. Twitter: @emilyraustin .

The views expressed in this article are the writer's own.

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## IMAGES

## VIDEO

## COMMENTS

Simply move the percent sign from one number to the other and flip the order of the numbers. Suppose someone wants you to figure out the following: 88% of 50 Finding 88% of anything isn't an activity that anybody looks forward to. But an easy way of solving the problem is to switch it around: 88% of 50 = 50% of 88

Solution: Use the following formula: Base = Part ÷ Percent = P a r t ÷ P e r c e n t → → Base = 40 ÷ 0.10 = 400 = 40 ÷ 0.10 = 400 40 40 is 10% 10 % of 400 400. Percent Problems - Example 3: 1.2 1.2 is what percent of 24 24? Solution: In this problem, we are looking for the percent. Use the following equation:

The word "of" means multiply. The word "is" means "=". Translate: 92% of a number is 56 You get: (92/100)x = 56 or as decimals 0.92x = 56 Then solve for x. 2) Proportion method. You will often see this described as "is" over "of" = "percent" over 100. The number associated with "is" in your problem is the 56.

Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-fr...

Using the percentage formula, it is easy to figure out how to solve percentage problems quickly. Remember the general algebraic formula for percentage is: {eq}\% \times W = P {/eq}....

Percents as a Proportion And we will quickly see that most problems will follow a very simple Percents Formula, as Khan Academy so accurately states. Together will look at how to change percents to fractions, percents to decimals, and decimals to percents for various problems.

Convert the problem to an equation using the percentage formula: Y/X = P% X is 60, Y is 12, so the equation is 12/60 = P% Do the math: 12/60 = 0.20 Important! The result will always be in decimal form, not percentage form. You need to multiply the result by 100 to get the percentage. Converting 0.20 to a percent: 0.20 * 100 = 20%

Percent word problems. CCSS.Math: 6.RP.A.3, 6.RP.A.3c. Google Classroom. Problem. 2 % 2\% 2 % 2, percent of the students at Hamilton Middle School have red hair. There are 700 700 7 0 0 700 students at Hamilton Middle School. How many students at Hamilton Middle School have red hair?

Content Problems are below Percent Problems from Actual SAT's: Question Number 1 CONTENT PROBLEM . 25% of 100 is how much? 25% = . 25 .25 *100=25: Question Number 2 CONTENT PROBLEM . 3% of 10 is how much? 3% = .30.30 *10=3. Question Number 3 CONTENT PROBLEM . 150% of 10 is how much? 150% = 1.50

c. Solve the equation when the sale price is $97. The retail price for the toilet was $114.12. (Note: the answer was rounded to the nearest cent.) The following diagram is meant as a visualization of problem 3. The large rectangle represents the retail price. The retail price has two components, the sale price and the discount. So

Follow the following steps to solve the percentage problems: Determine the whole or the total amount. Divide the amount to express it as a percent. In maximum cases, you need to divide the smaller amount by the higher amount. Multiply the result with 100. Let's take an example of it:

algebratesthelper 11.8K subscribers John Zimmerman, http://www.algebratesthelper.com explains how to solve percent problems using an equation; In this lesson, students learn to find a percent...

STEP 1: Change the percentage to a decimal. Remove the % sign from the 20% and drop a period in front of the 20 so we have .20. We are allowed to do this because when we are finding percents, we are really multiplying a decimal number against another number.

Word Problems on Percentage. 1. How to calculate percentage of a number. Use the percentage formula: P% * X = Y Convert the problem to an equation using the percentage formula: P% * X = Y

How to solve percentage math problems - Solved Examples on Percentage 1. In an election, candidate A got 75% of the total valid votes. 2. A shopkeeper bought. ... Solving Percent Problems (Sections 2. When you are doing actual math, you need to use actual numbers. Percents, being the values with a percent sign tacked on, are not technically ...

The following percentage calculator will make it very easy to solve all your percentage word problems. Read your problem carefully and just enter the order now. Calculate percentages with Step. In this lesson, we will work through two percentage word problems to give you more experience solving multi-step problems with percentages.

To solve percent problems, you can use the equation, Percent Base = Amount, and solve for the unknown numbers. Or, you can set up the proportion, Percent = Percentage (How to Calculate, Formula and Tricks) Find the percentage of the original or real number. In this case, it's 500.

Percentage Increase and Decrease Word Problems To find 40%, first find 10% and then multiply it by 4. 10% is found by dividing the number by Explain math questions If you're ever stuck on a math question, remember that you can always ask for help.

Social science - 80 out of 100. In order to solve this percentage problem, you first have to add all the marks then we will get the following answer. X = 75 + 90 + 65 + 80. = 310. Thus total marks you have got is 310 and the total number of marks shall be 400 as one subject is of 100 marks and there are 4 subjects.

However, you can provide a few mental models to support your team and encourage them to tackle difficult situations. For example: Create a "safe-to-try" team environment and embrace a growth ...

And if life was was that simple, all would be well. But the reality is that everyone has his/her own issues, and unforeseen circumstances routinely arise. College is a lengthy, expensive process ...

Expert Answer. From the given data,p = 85% or 0.85q = 1 - p = 1 - 0.85 = 0.15Number of students randomly selected (n) = 6a) The probability that all of these six stud …. Problem 5: Use Mega-Stat to solve this problem A report on high school graduation stated that 85 percent of high school students graduate. Suppose 6 high school students are ...

In Summary. •The 22-year-old had struggled with an ankle injury after coming back from Qatar and then found it tough to get game time. •Foden's return to form is timely for City, after a ...