problem solving with percent

$In 5th grade percentage worksheet, students can practice the questions on percentage. The questions are based on convert percentages to fractions, convert percentages to decimals, convert fractions to percentages, convert decimals to percentages, find the percentage of$

5th Grade Percentage Worksheet | Finding Percentages | Answers

In 5th grade percentage worksheet, students can practice the questions on percentage. The questions are based on convert percentages to fractions, convert percentages to decimals, convert fractions to percentages, convert decimals to percentages, find the percentage of

$Practice the questions given in the worksheet on percentage of a number. We know, to find the percent of a number we obtain the given number and then multiply the number by the required percent i.e., x % of a = x/100 × a 1. Find the following: (i) 22 % of 140$

Worksheet on Percentage of a Number | Find the Percent of a Number

Practice the questions given in the worksheet on percentage of a number. We know, to find the percent of a number we obtain the given number and then multiply the number by the required percent i.e., x % of a = x/100 × a 1. Find the following: (i) 22 % of 140

$In worksheet on percent problems we will practice various types of questions on calculating percentage problems. To answer the questions review application of percentage before practicing the sheet. Fill in the blanks:(i)The symbol of percent is … (ii)The word ‘cent’ means …$

Worksheet on Percent Problems | Questions on Application of Percentage

In worksheet on percent problems we will practice various types of questions on calculating percentage problems. To answer the questions review application of percentage before practicing the sheet. Fill in the blanks:(i)The symbol of percent is … (ii)The word ‘cent’ means …

$What is 18% of 500? 18% of 500 represent 18 parts out of hundred, so 18% of 500 represents 18 parts for each hundred which is 18 + 18 + 18 + 18 + 18 = 90. Thus, 18% of 500 = 90 So, 18% of 500 = $\frac{18}{100}$ × 500 = 18 × 5 = 90. To find the percent of a given number$

To Find the Percent of a Given Number | Word Problem on Percentage

What is 18% of 500? 18% of 500 represent 18 parts out of hundred, so 18% of 500 represents 18 parts for each hundred which is 18 + 18 + 18 + 18 + 18 = 90. Thus, 18% of 500 = 90 So, 18% of 500 = $\frac{18}{100}$ × 500 = 18 × 5 = 90. To find the percent of a given number

$How to convert a decimal into percentage? We will follow the following steps for converting a decimal into a percentage: Step I: Obtain the number in decimal form. Step II: Multiply the number in decimal form by 100 and put percent sign (%)$

Convert a Decimal into Percentage | Conversion of Decimal into Percent

How to convert a decimal into percentage? We will follow the following steps for converting a decimal into a percentage: Step I: Obtain the number in decimal form. Step II: Multiply the number in decimal form by 100 and put percent sign (%)

$To convert a fraction into a percent, we multiply the given fraction by 100 and add the percent symbol after the product. Let us consider how to change a fraction to a percent (i) 42/100 = 42% (ii) 73/100 = 73% (iii) 6/100 = 6%$

To Convert a Fraction into a Percentage|Converting Fraction to Percent

To convert a fraction into a percent, we multiply the given fraction by 100 and add the percent symbol after the product. Let us consider how to change a fraction to a percent (i) 42/100 = 42% (ii) 73/100 = 73% (iii) 6/100 = 6%

$To convert a percentage into a fraction, place the given number over 100 and reduce it to its lowest term. Consider the following example: (i) 20% [We know % = 1/100]$

To Convert a Percentage into a Fraction | Percentage into a Fraction

To convert a percentage into a fraction, place the given number over 100 and reduce it to its lowest term. Consider the following example: (i) 20% [We know % = 1/100]

$How to convert a given percentage into decimal? We will follow the following steps for converting a percentage into a decimal: Step I: Obtain the percentage which is to be converted into decimal Step II: Remove the percentage sign (%) and divide it by 100.$

Percentage into Decimal | Percentage as Decimals|Percent into Fraction

How to convert a given percentage into decimal? We will follow the following steps for converting a percentage into a decimal: Step I: Obtain the percentage which is to be converted into decimal Step II: Remove the percentage sign (%) and divide it by 100.

$A fraction with denominator 100 is called percentage and is denoted by the symbol %. In our daily life, we see a lot of statements with numbers followed by a symbol %. A number followed by % is called a percentage or percent. The term percent comes from the Latin phrase per$

Percentage | Symbol of Percent | Fraction with Denominator 100

A fraction with denominator 100 is called percentage and is denoted by the symbol %. In our daily life, we see a lot of statements with numbers followed by a symbol %. A number followed by % is called a percentage or percent. The term percent comes from the Latin phrase per

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100% of 5 is 5

100% of 91 is 91

100% of 732 is 732

Finding 50% of a number: Remember that 50% means half, so to find 50% of a number, just divide it by 2:

50% of 20 is 10

50% of 88 is 44

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

25% of 40 is 10

25% of 88 is 22

Finding 20% of a number: Finding 20% of a number is handy if you like the service you’ve received in a restaurant, because a good tip is 20% of the check. Because 20% equals 1/5, you can find 20% of a number by dividing it by 5. But you can use an easier way:

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

20% of 80 = 8 2 = 16

20% of 300 = 30 2 = 60

20% of 41 = 4.1 2 = 8.2

Finding 10% of a number: Finding 10% of any number is the same as finding 1/10 of that number. To do this, just move the decimal point one place to the left:

10% of 30 is 3

10% of 41 is 4.1

10% of 7 is 0.7

Finding 200%, 300%, and so on of a number: Working with percents that are multiples of 100 is easy. Just drop the two 0s and multiply by the number that’s left:

200% of 7 = 2 7 = 14

300% of 10 = 3 10 = 30

1,000% of 45 = 10 45 = 450

Make tough-looking percent problems easy

Suppose someone wants you to figure out the following:

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

This move is perfectly valid, and it makes the problem a lot easier. As you learned above, 50% of 88 is simply half of 88:

88% of 50 = 50% of 88 = 44

As another example, suppose you want to find

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

7% of 200 = 200% of 7

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

35% of 80 = ?

Ouch — this time, the numbers you’re working with aren’t so friendly. When the numbers in a percent problem become a little more difficult, the tricks no longer work, so you want to know how to solve all 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.

Changing the word of to a multiplication sign is a simple example of turning words into numbers. This change turns something unfamiliar into a form that you know how to work with.

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

35% of 80 = 0.35 80

Solve the problem using decimal multiplication.

Here’s what the example looks like:

So 35% of 80 is 28.

12% of 31 = 0.12 31

Now you can solve the problem with decimal multiplication:

So 12% of 31 is 3.72.

About This Article

This article can be found in the category:.

Module 1: Whole Numbers, Fractions, Decimals, Percents and Problem Solving

Solving problems using percents, learning outcome.

Evaluate expressions and word problems involving percents

In this section we will solve percent questions by identifying the parts of the problem. We’ll look at a common application of percent—tips to a server at a restaurant—to see how to set up a basic percent application.

When Aolani and her friends ate dinner at a restaurant, the bill came to [latex]\text{\$80}[/latex]. They wanted to leave a [latex]20\%[/latex] tip. What amount would the tip be?

To solve this, we want to find what amount is [latex]20\%[/latex] of [latex]\$80[/latex]. The [latex]\$80[/latex] is called the base . The percent is the given [latex]20\%[/latex]. The amount of the tip would be [latex]0.20(80)[/latex], or [latex]\$16[/latex] — see the image below. To find the amount of the tip, we multiplied the percent by the base.

A [latex]20\%[/latex] tip for an [latex]\$80[/latex] restaurant bill comes out to [latex]\$16[/latex].

Pieces of a Percent Problem

Percent problems involve three quantities: the base amount (the whole), the percent , and the amount (a part of the whole or partial amount).

The amount is a percent of the base.

Let’s look at another example:

Jeff has a Guitar Strings coupon for [latex]15\%[/latex] off any purchase of [latex]$100[/latex] or more. He wants to buy a used guitar that has a price tag of [latex]$220[/latex] on it. Jeff wonders how much money the coupon will take off the original [latex]$220[/latex] price. Problems involving percents will have some combination of these three quantities to work with: the percent , the amount , and the base . The percent has the percent symbol (%) or the word percent. In the problem above, [latex]15\%[/latex] is the percent off the purchase price. The base is the whole amount or original amount. In the problem above, the “whole” price of the guitar is [latex]$220[/latex], which is the base. The amount is the unknown and what we will need to calculate.

There are thee cases: a missing amount, a missing percent or a missing base. Let’s take a look at each possibility.

Solving for the Amount

When solving for the amount in a percent problem, you will multiply the percent (as a decimal or fraction) by the base. Typically we choose the decimal value for percent.

[latex]\text{percent}\cdot{\text{base}}=\text{amount}[/latex]

Find [latex]50\%[/latex] of [latex]20[/latex]

First identify each piece of the problem:

percent: [latex]50\%[/latex] or [latex].5[/latex]

base: [latex]20[/latex]

amount: unknown

Now plug them into your equation [latex]\text{percent}\cdot{\text{base}}=\text{amount}[/latex]

[latex].5\cdot{20}= ?[/latex]

[latex].5\cdot{20}= 10[/latex]

Therefore, [latex]10[/latex] is the amount or part that is [latex]50\%[/latex] of [latex]20[/latex].

What is [latex]25\%[/latex] of [latex]80[/latex]?

The base is [latex]80[/latex] and the percent is [latex]25\%[/latex], so amount [latex]= 80(0.25) = 20[/latex]

Solving for the Percent

When solving for the percent in a percent problem, you will divide the amount by the base. The equation above is rearranged and the percent will come back as a decimal of fraction you can report in the form asked of you.

[latex]\Large{\frac{\text{amount}}{\text{base}}}\normalsize=\text{percent}[/latex]

What percent of [latex]320[/latex] is [latex]80[/latex]?

percent: unknown

base: [latex]320[/latex]

amount: [latex]80[/latex]

Now plug the values into your equation [latex]\Large{\frac{\text{amount}}{\text{base}}}\normalsize=\text{percent}[/latex]

[latex]\large\frac{80}{320}\normalsize=?[/latex]

[latex]\large\frac{80}{320}\normalsize=.25[/latex]

Therefore, [latex]80[/latex] is [latex]25\%[/latex] of [latex]320[/latex].

Solving for the Base

When solving for the base in a percent problem, you will divide the amount by the percent (as a decimal or fraction). The equation above is rearranged and you will find the base after plugging in the values.

[latex]\Large{\frac{\text{amount}}{\text{percent}}}\normalsize=\text{base}[/latex]

[latex]60[/latex] is [latex]40\%[/latex] of what number?

percent:[latex]40\%[/latex] or [latex].4[/latex]

base: unknown

amount: [latex]60[/latex]

Now plug the values into your equation [latex]\Large{\frac{\text{amount}}{\text{percent}}}\normalsize=\text{base}[/latex]

[latex](60)\div(.4)=?[/latex]

[latex](60)\div(.4)=150[/latex]

Therefore, [latex]60[/latex] is [latex]40\%[/latex] of [latex]150[/latex].

An article says that [latex]15\%[/latex] of a non-profit’s donations, about [latex]$30,000[/latex] a year, comes from individual donors. What is the total amount of donations the non-profit receives?

The percent is [latex]15\%[/latex], and [latex]$30,000[/latex] is the amount (or part of the whole). We are looking for the base.

base = [latex]30000\div(.15)=$200000[/latex]

The non-profit receives [latex]$200000[/latex] a year in donations

Here are a few more percent problems for you to try.

Many applications of percent occur in our daily lives, such as tips, sales tax, discount, and interest. To solve these applications we’ll translate to a basic percent equation, just like those we solved in the previous examples in this section. Once you translate the sentence into a percent equation, you know how to solve it.

Dezohn and his girlfriend enjoyed a dinner at a restaurant, and the bill was [latex]\text{\$68.50}[/latex]. They want to leave an [latex]\text{18%}[/latex] tip. If the tip will be [latex]\text{18%}[/latex] of the total bill, how much should the tip be?

In the next video we show another example of finding how much tip to give based on percent.

The label on Masao’s breakfast cereal said that one serving of cereal provides [latex]85[/latex] milligrams (mg) of potassium, which is [latex]\text{2%}[/latex] of the recommended daily amount. What is the total recommended daily amount of potassium?

The figures shows the nutrition facts for cereal.

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Revision and Adaptation of DevMath. Provided by : Monterey Institute of Technology and Education. Located at : http://www.opentextbookstore.com/arithmetic/arith3-5.pdf . License : CC BY: Attribution

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Read on to learn more about how to figure percentages.

Solution: Solve for P% using the percentage formula P% = Y / X

Example: 9 of 13 is what percent?

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 .

If you need to convert between fractions and percents see our Fraction to Percent Calculator , or our Percent to Fraction Calculator .

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

Cite this content, page or calculator as:

Furey, Edward " Percentage Calculator " at https://www.calculatorsoup.com/calculators/math/percentage.php from CalculatorSoup, https://www.calculatorsoup.com - Online Calculators

A percent is a type of ratio where something is compared to a hundred. Probabilities, scores, and success rates are commonly written in percents.

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