How Do You Know When to Add a 1 in Front of a Percentage

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Knowing how to calculate percentages will help y'all not only score well on a math examination but in the existent world as well. You can work out percentages to calculate how much to tip at restaurants, find the percent change of a price, or even decide statistics of your favorite sports team. While the language may initially seem confusing, computing percentages tin can really be quite like shooting fish in a barrel.^[i] We'll walk you through the main types of percentage issues yous'll come across in math homework and business, and we'll requite yous everyday examples of per centum calculations.

1. i

   Put the two values into a fraction. The smaller part goes on top of the fraction (numerator), and the value of the whole goes on the bottom (denominator).^[two] For case, let's say nosotros accept a jar containing 1199 red marbles and 485 blue marbles, making it 1684 marbles in total. If we're looking to find the percentage of bluish marbles, that is our "part." The "whole" is the full number of marbles (1684). Therefore the fraction is 485/1684 (part/whole).^[3]

   • When you lot're setting upwards two proportions, it'south easiest to set them both upwardly every bit the part over the whole on either side of the equation.^[4]

2. ii

   Catechumen the fraction into a decimal. Percentages are all-time calculated from the decimal form.^[5] For the marbles instance, to plow 485/1684 into a decimal, split up 485 past 1684 using a calculator or pencil and newspaper. This comes to 0.288.^[vi]

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3. iii

   Convert the decimal into a percent. Multiply the result obtained in the step higher up past 100.^[7] For the marbles example, 0.288 multiplied by 100 equals 28.8%.^[eight]

   • A uncomplicated way to multiply a decimal by 100 is to motion the decimal to the correct two digits.
   • The percentage symbol is then just tacked on at the end, like a unit would exist.

4. four

   Bonus Case i: Jerry, an electrician, worked 7 months out of the year. What pct of the year did he piece of work?^[ix]

   • In that location are 12 months total in a year, so Jerry worked vii/12 months.
   • Then, convert the fraction to a decimal: 7/12 = 0.58
   • Next, convert the fraction to a percent: 0.58 10 100% = 58%
   • Jerry the electrician worked 58% of the yr.

5. 5

   Bonus Example 2: Donovan took a math examination and got 35 correct and 10 incorrect answers. What was the percentage of correct answers?

   • 35 correct answers + 10 incorrect answers = 45 answers full
   • We can gear up this problem upwardly as the fraction 35/45.
   • 35/45 = 0.78
   • 0.78 x 100 = 78%
   • Donovan got 78% of the answers correct on his test.

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1. 1

   Use this method when you're given a percentage and a "whole." Set the numbers y'all're given into the percent formula P/100 = Function/Whole. Say yous borrowed money from a friend who is going to accuse you daily interest. The amount borrowed was initially $fifteen and the interest rate is 3% per day. Then, three% would be P in the formula, and $15 would be the "whole" corporeality. Plug the numbers into the formula to get three/100 = X/15.^[10]

2. 2

   Convert the per centum into a decimal. Divide the percentage by 100%, or you tin multiply by 0.01 (they're the exact aforementioned). 3%/100% = 3/100 = 0.03. You'd be left with 0.03=X/fifteen.^[11]

   • Yous can translate any percentage into a decimal by dividing by 100. For instance, 26% = 26/100 = .26^[12]

   You tin also simply motion the decimal to the left two places.

3. 3

   Cross multiply to solve for X. Information technology helps to reword your problem with the new value(s) now in the grade of "Ten of Y is Z." X is the decimal form of your pct, "of" means to multiply, Y is the whole amount, and Z is the answer. And so, 0.03 x $15 is $0.45.^[thirteen]

   • In this example, $0.45 is the amount of interest accrued each day that yous practise not pay your friend back.
   • If you demand to further calculate the total due afterward 1 day, yous would add the corporeality you borrowed to the amount of the interest times the number of days. So $fifteen + ($0.45 x ane day) = $15.45.

4. 4

   Bonus Case 1: A baseball bullpen won 80% of the games he pitched. If he pitched 35 ballgames, how many games did he win?^[14]

   • We tin can reword this problem as "What is 80% of 35?"
   • Plug the values into the formula P/100 = Part/Whole
   • 80/100 = X/35
   • 0.8 = 10/35
   • 35 ten 0.8 = 10
   • 10 = 28
   • The bullpen won 28 games.

5. v

   Bonus Example ii: A metal bar weighs eight.fifteen ounces. 93% of the bar is silver. How many ounces of silverish are in the bar?^[15]

   • Nosotros can reword this trouble as "What is 93% of 8.15?"
   • Plug the values into the formula P/100 = Part/Whole
   • 93/100 = X/8.15
   • 0.93 = 10/viii.fifteen
   • 0.93 x 8.xv = X
   • X = 7.58
   • In that location are 7.58 ounces of silver.

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1. 1

   Use this method to solve for a missing "whole" when you're given a per centum and a "office." Fix the numbers you're given into the percent formula P/100 = Part/Whole, which we can write as P/100 = X/Y. For example, imagine yous're given the problem "45% of what number is 12?" Plug the numbers into the equation similar this: 45/100 = 12/Y.

   • A shortcut: find you can dispense the percentage equation to get this formula beneath.
     • Function/Percent (in decimal class) = Whole
     • Keep reading for a full walk-through if you're not sure how to go there.

2. ii

   Convert the percentage into a decimal. Divide the per centum by 100, or simply move the decimal place over two places to the left. 45%/100% = 45/100 = 0.45. Yous'll end up with 0.45 = 12/Y.^[16]

3. three

   Cross multiply to move Y into the numerator. That means you'll move from 0.45 = 12/Y to 0.45 10 Y = 12. Now yous can solve for your missing variable Y. In your head, you can reword this to "45 percent of Y is 12." Remember "of" ways "multiply."

4. four

   Divide the part by the percent (in decimal grade) to become your respond. For the main example, solve for Y by dividing both sides past 0.45. Y'all'll get Y = 12/0.45, which equals 26.67. For these types of bug, check your work past making sure that the respond is bigger than the original part you were given.

5. 5

   Check out these additional examples below.

   • Bonus Case 1: This year, Acme Computers fabricated approximately 72% of its sales online. There were 1,380 online purchases. Rounding up to the nearest whole number, how many full sales did Peak Computers make this year?
     • Plug the values into the formula P/100 = Role/Whole
     • 72/100 = one,380 online sales/Y full sales
     • 72/100 = 1,380/Y
     • 0.72 = 1,380/Y
     • 0.72 x Y = ane,380
     • 1,380/0.72 = Y
     • Y = 1916.66
     • Acme Computers made 1917 total sales this year.
   • Bonus Example two: 39% of what number is 89?
     • Plug the values into the formula P/100 = Part/Whole
     • 39/100 = 89/Y
     • 0.39 = 89/Y
     • 0.39 x Y = 89
     • 89/0.39 = Y
     • Y = 228.2

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1. 1

   Subtract the original amount from the new, bigger amount. Imagine your small company makes $44,000 in one yr. The next year, you lot make $49,750. To start computing the pct change in revenue, observe the difference between $49,750 and $44,000: $49,750 - $44,000 = $five,750. You'll treat $5,750 as the "office" of the "whole" (which is your original number).^[17]

2. 2

   Dissever the difference of the numbers by the original amount. You might recognize this equally the first pace in a basic percentage calculation–you're setting up a fraction with the "function" over the "whole." For the pocket-size business organization example, separate $5,750 past $44,000: $5,750 / $44,000 = 0.13.^[eighteen]

3. iii

   Multiply the decimal by 100% to go the percentage. You could also move the decimal place over twice to the correct–it's the same thing! In this case, we'd have 0.thirteen x 100% = 13%.^[19]

4. iv

   Bonus Instance 1: A game cost $thirteen.99 last month, but this calendar month it costs $fifteen.75. Summate the percent increase of the price.

   • New Amount - Original Amount = Deviation
   • $15.75 - $13.99 = $i.76
   • (Departure / Original Amount) x 100% = Percent Increase
   • ($ane.76 / $13.99) x 100% = 12.v%
   • The toll of the game went up by 12.5%.

5. v

   Bonus Example ii: A sweater company buys sweaters from a mill for $22. Then, they put their brand on the sweaters and sell them for $55. What's the percentage of their markup (the divergence in toll)?

   • New Amount - Original Amount = Difference
   • $55 - $22 = $33
   • (Deviation / Original Corporeality) x 100% = Per centum Increase
   • ($33 / $55) x 100% = 60%
   • The company has a 60% markup on sweaters.

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1. i

   Subtract the new amount from the original, bigger amount. For example, imagine you're looking to invest in the stock market. A certain stock sold at $67 per share in ane calendar month. Now, the price has dropped to $52 per share. Subtract $52 from $67: $67 - $52 = $15. That $15 difference is the "part" of the "whole" ($67).

2. 2

   Divide the departure by the original corporeality. This is the basic pct calculation–you're essentially putting the "part" over the "whole" in fraction form. For the stock example, divide $67 by $fifteen: $15 / $67 = 0.22.^[20]

3. 3

   Multiply the decimal past 100% to get the percentage. For a quick way to practice this, move the decimal place over twice to the right. In this example, we'd accept 0.22 x 100% = 22%.^[21]

4. 4

   Bonus Example i: Jane worked 42 hours a week in April. In May, she worked 39 hours a week. What was the pct change in her hours betwixt the 2 months?

   • Original Amount - New Amount = Divergence
   • 42 - 39 = iii
   • (Divergence / Original Corporeality) x 100% = Per centum Increase
   • (3 / 42) x 100% = 7%
   • Jane'southward hours decreased by 7%.

5. five

   Bonus Example ii: Company A starts out with 563 employees. Afterward layoffs, they're left with 542 employees. What's the pct change in the number of employees?

   • Original Corporeality - New Amount = Departure
   • 563 - 542 = 21
   • (Difference / Original Corporeality) ten 100% = Per centum Increase
   • (21 / 563) ten 100% = 3.7%
   • Company A decreased their number of employees past 3.7%.

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1. 1

   Calculate a restaurant tip in your head. You can summate eating place tips with tricks that involve moving the decimal place over for the total cost of your neb. Here are quick strategies to work out tip percentages without a calculator:^[22]

   • Computing a 10% tip: Just move the decimal place over once to the left.
     • Instance: If your bill is $54, a 10% tip would be $5.four.
   • Calculating a fifteen% tip: Find 10% by moving the decimal place over to the left. So, divide that number in half to get 5% of the bill. And then, add the ten% and 5% values together.
     • Case: For a $54 bill, 10% is $five.4. Half of $five.4 is $ii.seven. Finally, $5.4 + $2.7 = $viii.i.
   • Calculating a 20% tip: Double the total bill, so move the decimal place over once to the left.
     • Example: For a $54 bill, double that is $108. If y'all move the decimal one place to the left, you'll go $10.80.

2. 2

   Calculate your savings from a price discount. Write down the original price and the discount percent. Then, decrease the discount per centum from 100. For example, if you want to buy a shirt that'south thirty% off, 100% - 30% is seventy%. That means y'all'll pay 70% of the original price. Now you lot're ready to walk through this like shooting fish in a barrel adding:^{[23] [24]}

   • Movement the decimal ii places to the left. In this example, 70%/100% = seventy/100 = 7/10 = 0.7.^[25]
   • Multiply the original cost by the new decimal. If the shirt y'all want is $xx, multiply $20 by 0.7. This comes to $xiv, meaning the shirt is now on sale for $14.^[26]
   • Calculate your savings. Simply decrease the auction price from the original price ($xx - $xiv = $six saved)!

3. 3

   Summate the total cost with sales tax. To calculate the cost of an item plus revenue enhancement, start by converting the sales tax to a decimal. Next, add together that number to 1 (think of one every bit 100% of the toll of the original item). For case, if sales tax is eight%, you'd do 0.08 + 1 = i.08. So, multiply the price of your item past 1.08. If your item costs $20, the item plus 8% tax would be $twenty 10 1.08, which equals $21.vi.^[27]

   • Bonus Example: Mark is buying a sweater that costs $xv. Sales revenue enhancement is 9%. How much volition he pay at checkout?
     • Convert ix% to a decimal: 0.09
     • Add together the decimal to 1: 0.09 + 1 = 1.09
     • Multiple that value by the original price: $xv x 1.09 = $16.35
     • Mark will pay $16.35 at checkout.

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Endeavour it yourself! Enter a office (X) and a whole (Y).

X / Y * 100 = P

=

Add New Question

• Question

  How practice yous calculate the percentage of a number?

  

  Jake Adams
  Academic Tutor & Test Prep Specialist

  Jake Adams is an academic tutor and the owner of Simplifi EDU, a Santa Monica, California based online tutoring business organisation offering learning resources and online tutors for academic subjects K-College, Sabbatum & Human activity prep, and college admissions applications. With over 14 years of professional person tutoring experience, Jake is dedicated to providing his clients the very best online tutoring feel and access to a network of excellent undergraduate and graduate-level tutors from top colleges all over the nation. Jake holds a BS in International Concern and Marketing from Pepperdine University.

  

  Academic Tutor & Test Prep Specialist

  Expert Answer

  Set up up the equation then that each side is a part over the whole. That style your piece of missing information with be either the office or the whole on either side. For instance, if you want to know 38% of 52, the equation would be 38/100 = ten/52, where x is the number you're solving for.

• Question

  How can you summate a per centum using a calculator?

  

  This answer was written by one of our trained squad of researchers who validated it for accurateness and comprehensiveness.

  

  wikiHow Staff Editor

  Staff Respond

  One of the quickest means to calculate a percentage with a calculator is to convert the percentage into a decimal and multiply information technology past the number you lot're trying to find the percentage of. For case, if you lot want to find lx% of 285, enter 285 ten .6 into your computer to get 171. To figure out what percentage a number represents out of a whole, divide the smaller number by the larger one and convert the resulting decimal number into a percent. For example, 171 ÷ 285 = 0.vi = 60%.

• Question

  How practise you calculate a percentage in Excel?

  

  This answer was written past 1 of our trained team of researchers who validated it for accuracy and comprehensiveness.

  

  wikiHow Staff Editor

  Staff Answer

  To summate a basic percentage in Excel, utilise the "Percent Fashion" button nether the Home Tab>Number Grouping and utilise it to the column where y'all'd like to display the percent (e.g., cavalcade D). Utilise the formula C2/B2 in column D to calculate the what percentage of the number in cavalcade B is represented past the number in cavalcade C. For example, if column A specifies your product, cavalcade B might represent the total produced and column C might be the total shipped. If B is 75 and C is 69, enter C2/B2 in column D to get 92%.

• Question

  How do I summate 9% of $456.39?

  

  Convert the percent to a decimal like so: 0.09. And so multiply that decimal by 456.39.

• Question

  I know that 1325 is 12.2% of the total. How do I summate the total?

  

  Split 1325 by 0.122.

• Question

  My kid got 447 marks in 450, then what percentage did he become?

  

  He got a footling over 99.333...%. Divide 447 by 450. The answer was a decimal which is then converted into a per centum by moving the decimal bespeak two places to the correct.

• Question

  I saved 185.73 an income is 2456.85 a year. How do I calculate the percentage I saved?

  

  Split up 185.73 by 2456.85. The answer was a decimal which is and then converted into a per centum past moving the decimal point two places to the right. You've saved vii.559%

• Question

  What is the per centum of $177.78 of $444.45?

  

  Dissever the showtime number by the second number, and multiply by 100.

• Question

  How tin can I calculate the percent change between two numbers?

  

  To calculate the pct increment, work out the difference (increase) between the ii numbers you are comparing. Then divide the increase by the original number and multiply the answer past 100. If your respond is a negative number, then this is a percentage decrease.

• Question

  How do I add a per centum of a number to the number?

  

  First you need to calculate what number the percentage is equal to. Do this by converting the percent to a decimal and then multiplying the decimal past the original number. Now you lot tin add together this answer to the original number.

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• x% of y is the same equally y% of x. For instance, 10% of thirty = iii = xxx% of x.^[28]

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To calculate percentages, start by writing the number y'all desire to turn into a percentage over the total value so you end upward with a fraction. So, turn the fraction into a decimal past dividing the tiptop number past the lesser number. Finally, multiply the decimal by 100 to detect the percentage. To learn how to calculate a discount using a percentage, scroll down!

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