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Ratio to percent calculator soup

The simplest method for calculating a percent change is to subtract the original number from the new number, and then divide that difference by the original number and multiply by 100 to get a percentage. For example, a change of 5 to 6 has a difference of 1, divided by the original 5 is 0.2, which is a change of 20 percent when multiplied by 100. Another method is to divide the new number by the old number, multiply by 100, and then subtracte 100. For the increase from 5 to 6, dividing 6 from 5 yields 1.2%, which is 120%. Subtracting 100 gives the correct answer to the 20% increase. Percentages are found in many contexts beyond practice problems in math textbooks. One of the best examples is sales prices, which are often advertised as a certain percentage of the price. Tips on a restaurant bill are also typically calculated as a percentage of the total bill. Knowing how to calculate percentages is a useful skill; sometimes you will need to know the exact percentage of the number, while others only require an estimate. You can perform these calculations in your head or by using a calculator. To start calculating a percentage, you must convert it to decimal format by moving the decimal point of the two spaces to the right. For example: 72 percent equals 0.72 300 percent equals 3 4 percent equal to 0.04 Once you have a decimal number, multiply it by the number for which you strive to calculate a percentage; that is, if you need to know 30 percent of 100, you convert 30 percent to decimal (0.30) and multiply by 100 (0.30 x 100, which equals 30). For example, if you're told that 72 percent of all students have cellphones, and there are 30 students in the class, you can figure out how many students will have cellphones multiplying 0.72 from 30 to get 21.6 students. In this example, you may need to round up your response because you can't have 21.6 people. If you calculate the percentage of people or animals or other things that cannot be represented by fractions, you need to round to the nearest integer. For example, that would be 22 students who would have cell phones. Another example is that when calculating sales tax, the answer should be rounded to the nearest penny. If you are in a store and need to quickly figure out the price of a sales item, you may need to learn to calculate the percentages in your head. For example, if you find an item that costs $45 but sells for a 20 percent discount, you'll need to figure out how much you'll have to pay. The first thing to do is convert a percentage into a fraction or sum of fractions. A percentage or percent means 100, so 20 percent means 20 to a hundred, or 20 out of every 100. You can write it as a fraction this way: 20/100. Then you can reduce the fraction by dividing the top and bottom by the biggest common factor. In the example above, divide the number (20, the number above) and the denominator (100, the lower number) by 20 to get 1/5. Once you've reduced the fraction to a minimum, the number for which you find the percentage per denomin objector of the fraction. In an example, you'd split the regular price of $45 by five, which equals nine. Then multiply nine by the number of fractions (one), which is equal to nine. So the item is $9 off and will cost $36. If the item was 40 percent reduced, the fraction would be 40/100, reduced to 2/5. Then you'd split the price, $45, by denominator, and that's five, into equal nine. Then you'd multiply nine by two and get 18, which means the item is $18. You can repeat these steps with multiple calculations for problems that have percentages that are not simple fractions. For example, when calculating a tip on a restaurant bill, you might be trying to find 15 percent of $27. Instead of turning 15 percent into 15/100 or 3/20, you can think of it as 10/100 or 1/10 and then add half of it, because it's much easier to find 1/10 than 3/20. So you'd calculate $1/10 of $27, which is $2.70, plus half of that, or $1.35, to get a $3.05 tip. The percentage means 100 or from each hundred. In other words, the percentage is a value divided by 100 or a ratio of 100. There are many real benefits to finding a percentage. Real estate agents, car dealers and pharmaceutical sales representatives earn commissions that are a percentage or part of a sale. For example, a real estate agent can earn a portion of the sale price of a house that helps a client buy or sell. The car salesman earns a portion of the selling price of the car he sells. Real-life percentage work problems can help you better understand the process. Noel, a real estate agent, intends to make at least $150,000 this year. She earns a 3 percent commission on every house she sells. What is the total amount of houses she has to sell to achieve her goal? Start the problem by defining what you know and what you want to determine: Noel will earn $3 per $100 on sale. She will earn $150,000 per (what dollar amount) on sale? Express the problem as follows, where with advocates for total sales: 3/100 = $150,000/s To solve the problem, cross yourself. First, write fractions vertically. Take the number of the first fraction (the upper number) and multiply it by the denominator of the second fraction (the lower number). Then take the number of the second part and multiply it by the denominator of the first fraction, as follows: 3 x s = $150,000 x 1003 x s = $15,000,000 Divide both sides of the equation by 3 solve for s: 3s/3 = $15,000,000/3s = $5,000,000 So, earn $150,000 in annual commission, Noel is scheduled to sell houses totaling $5 million. Ericka, another real estate agent, specializes in apartment leasing. Her commission is 150 percent of the client's monthly rent. Last week, she earned an $850 commission for an apartment she helped rent to a client. What's the monthly rent? Start by defining what you know and what you want to determine: $150 per $100 monthly rent paid to Ericka as a commission.$850 per (what amount) of monthly rent is paid to Ericka as a commission? Express the problem as follows, where r denotes monthly rent: 150/100 = $850/r Now cross multiply: $150 x r = $850 x 100 $150r = $85,000 Divide both sides of the equation by 150 to solve for r: 150r/150 = 85,000/150r = $566.67 So, The monthly rent (for Jessica to earn $850 commission) is $556.67. Pierre, an art dealer, earns a 25 percent commission from the dollar value of the art he sells. Pierre made $10,800 this month. What was the total value of the art he sold? Start by defining what you know and what you want to determine: $25 per $100 pierre's art sale is paid to him as a commission.$10,800 per (what dollar amount) of Pierre's art sales are paid to him as commission? Write the problem as follows, where with pro-sales: 25/100 =$10,800/s First, Cross multiply: 25 x s = $10,800 x 10025s = $1,080,000 Divide both sides of the equation by 25 solve for s: 25s/25 = $1,080,000/25s = $43,200 So, The total value of the art Pierre sold was $43,200. Alexandria, a saleswoman at the car dealership, earns a 40 percent commission from the sale of luxury vehicles. Last year, her commission was $480,000. What was the total amount of her sales in dollars last year? Define what you know and what you want to determine: $40 per $100 in car sales is paid to Ericka as a commission.$480,000 per (what dollar amount) of car sales is paid to Ericka as commission? Write the problem as follows, where with denotes car sales: 40/100 = $480,000/s Next, cross multiply: 40 x s = $480,000 x 10040s = $48,000,000 Divide both sides of the equation by 40 to solve for s. 40s/40 = $48,000,000/40s = $1,200,000 So the total amount of dollars of Alexandria car sales last year was $1.2 million. Henry is an agent for entertainers. He earns 10 percent of his clients' salaries. If he made $72,000 last year, how much did his clients make anyway? Define what you know and what you want to determine: $10 per $100 the entertainer's salary is paid to Henry as a commission.$72,000 per (what dollar amount) of the entertainer's salary is paid to Henry as commission? Write the problem as follows, where with advocates for wages: 10/100 =$72,000/s Then, Cross multiply: 10 x s = $72,000 x 10010s = $7,200,000 Divide both sides of the equation by 10 solve for s: 10s/10 = $7,200,000/10s = $720,000 Total, Henry's clients made $720,000 last year. Alejandro, a pharmaceutical sales representative, sells statins for the drugmaker. He earns a 12 percent commission from the total sales of statins he sells to hospitals. If he made a $60,000 commission, what was the total value of the drug he sold? Define what you know and what you want to determine: $12 per $100 worth of drugs is paid to Alejandr as at (what dollar value) is the drug paid to Alejandr as a commission? Write the problem as where d indicates dollar value: 12/100 = $60,000/d Then, cross multiply: 12 x d = $60,000 x 10012d = $6,000,000 Divide both sides Equations by 12 solved for d: 12d/12 = $6,000,000/12d = $500,000 The total value of the dollar of drugs that Alejandro sold was $500,000. $500,000.

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