Percents: Percentages in Real Life (2024)

Lesson 3: Percentages in Real Life

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Sales tax

Depending on where you live, you might pay a sales tax on the things you buy. A sales tax is an extra charge added to the price of an item. The amount you pay in tax is almost always a percentage of that price.

Suppose you buy a $50 coffeemaker in an area where the sales tax is 8%. When you check out, 8% of $50 would be added to your total price. How much would you pay total?

Click through the slideshow to learn how to calculate sales tax.

  • Percents: Percentages in Real Life (1)

    Let's say you want to buy a $50 coffeemaker, and the sales tax is 8%.

  • Percents: Percentages in Real Life (2)

    Sales tax is a percentage of the price of the item. This means the sales tax is eight percent of fifty dollars.

  • Percents: Percentages in Real Life (3)

    Whenever you see the phrase "of something" in a math sentence, it's usually a hint that you'll need to multiply.

  • Percents: Percentages in Real Life (4)

    So we'll multiply 50 by 8%.

  • Percents: Percentages in Real Life (5)

    Before we can do that, we'll need to convert 8% into a decimal.

  • Percents: Percentages in Real Life (6)

    We'll move the decimal point two places to the left...

  • Percents: Percentages in Real Life (7)

    We'll move the decimal point two places to the left...so 8% becomes 0.08.

  • Percents: Percentages in Real Life (8)

    Now we can multiply: 0.08 times 50 equals 4.00.

  • Percents: Percentages in Real Life (9)

    So the sales tax is $4.00. Another way to say this is that 8% of $50.00 is $4.00.

  • Percents: Percentages in Real Life (10)

    Remember, sales tax is an extra charge added to the price of an item. So we'll add the sales tax to our original price.

  • Percents: Percentages in Real Life (11)

    $4.00 plus $50.00 equals $54.00.

  • Percents: Percentages in Real Life (12)

    The final price of the coffeemaker is $54.00 after adding sales tax.

  • Percents: Percentages in Real Life (13)

    Let's try another example. Let's say you want to buy a six pack of soda that costs $4.50, and the sales tax on food is 4%.

  • Percents: Percentages in Real Life (14)

    This means the sales tax is 4% of $4.50.

  • Percents: Percentages in Real Life (15)

    So we'll multiply 4% by 4.50.

  • Percents: Percentages in Real Life (16)

    First, we need to convert 4% into a decimal, so we'll move the decimal point two places to the left.

  • Percents: Percentages in Real Life (17)

    4% is the same as 0.04.

  • Percents: Percentages in Real Life (18)

    Now we'll multiply: 4.5 times 0.04 is 0.18, so the sales tax is $0.18, or 18 cents.

  • Percents: Percentages in Real Life (19)

    We could also say that 4% of $4.50 is $0.18.

  • Percents: Percentages in Real Life (20)

    Finally, we'll add the sales tax to the original price.

  • Percents: Percentages in Real Life (21)

    4.50 plus 0.18 is 4.68.

  • Percents: Percentages in Real Life (22)

    So the final price is $4.68 after adding sales tax.

  • Percents: Percentages in Real Life (23)

Try This!

Find the total cost of each item after sales tax. Be sure to round your answer to the nearest cent. For example, $64.24305 would become $64.24.

You buy a pair of sunglasses for $49.00. The sales tax is 7%.

Percents: Percentages in Real Life (24)

You need to purchase $326.00 worth of vinyl siding. The sales tax is 4%.

Percents: Percentages in Real Life (25)

You buy $32.19 worth of groceries. The sales tax is 5.7%.

Percents: Percentages in Real Life (26)

Curious about the sales tax where you live?

You can use this list of State and Local Sales Tax Rates from the Tax Foundation to look up the sales tax rate where you live.

Discounts, markdowns, and sales

Have you ever bought something on sale marked down by twenty percent? Or used a coupon to take 30% off? If so, you've used a discount. A discount is usually a percentage of the original price. The percentage is subtracted from the original price to determine the sale price.

Let's say a shirt costs $8, but it's been marked down by 50%. When you check out, 50% of $8 will be subtracted from the original price. How much would the shirt cost after the discount?

Click through the slideshow to learn how to calculate discounts.

  • Percents: Percentages in Real Life (27)

    Let's say a shirt costs eight dollars, but it's on sale for 50% off.

  • Percents: Percentages in Real Life (28)

    This means it will cost fifty percent less than the original price, or half as much.

  • Percents: Percentages in Real Life (29)

    This discount is a percentage of the original price. Here, 50% off means the discount is 50% of $8.

  • Percents: Percentages in Real Life (30)

    50%, or half, of 8 is 4. This means the shirt will cost $4 less than the original price.

  • Percents: Percentages in Real Life (31)

    Remember, the discount is taken off of the original price. So we'll subtract the discount from the original price.

  • Percents: Percentages in Real Life (32)

    8 minus 4 is 4.

  • Percents: Percentages in Real Life (33)

    So the shirt would cost four dollars on sale.

  • Percents: Percentages in Real Life (34)

    Let's try another example. What if the same shirt was on sale for 20% off?

  • Percents: Percentages in Real Life (35)

    This means it would cost twenty percent less than the original price. This time, it'll take a few more steps to find the final price.

  • Percents: Percentages in Real Life (36)

    The discount is 20% of $8.

  • Percents: Percentages in Real Life (37)

    Whenever, you see the phrase "of something" in a math sentence, it's usually a hint that you'll need to multiply.

  • Percents: Percentages in Real Life (38)

    So we'll multiply 8 by 20%.

  • Percents: Percentages in Real Life (39)

    Before we can do that, we'll need to convert 20% into a decimal.

  • Percents: Percentages in Real Life (40)

    We'll move the decimal point two places to the left...

  • Percents: Percentages in Real Life (41)

    We'll move the decimal point two places to the left...so 20% becomes 0.20.

  • Percents: Percentages in Real Life (42)

    Now we can multiply. 8 times 0.20 equals 1.60.

  • Percents: Percentages in Real Life (43)

    Another way to say this is that 20% of $8.00 is $1.60.

  • Percents: Percentages in Real Life (44)

    The shirt will cost $1.60 less than the original price of $8. So we'll subtract the discount from the original price.

  • Percents: Percentages in Real Life (45)

    8.00 minus 1.60 equals 6.40.

  • Percents: Percentages in Real Life (46)

    So the shirt would cost $6.40 on sale.

  • Percents: Percentages in Real Life (47)

Try This!

Find the final cost for each item.

You find a pair of shoes on sale for 35% off. They originally cost $90.00. What will they cost on sale?

Percents: Percentages in Real Life (48)

You spend $42.00 on groceries, but you have a coupon for 10% off. What is the final price of your bill?

Percents: Percentages in Real Life (49)

A bookstore is going out of business, so all books are 60% off. How much would you spend on a book that originally cost $12.95?

Percents: Percentages in Real Life (50)

Calculating tips

If you've eaten at a restaurant, you've probably left a tip for your server. A tip is a small amount of money that you add to your bill when someone gives you service. The amount of a tip is usually a percentage of the total cost. For example, you might leave a fifteen percent tip at a restaurant for average service.

Let's say you eat at a restaurant with some friends. The bill comes to $12.04, and you'd like to leave a 15% tip. This means you'd like to leave 15% of $12.04. How much money should you leave total?

Click through the slideshow to learn how to calculate tips.

  • Percents: Percentages in Real Life (51)

    Let's say you went out to eat, and your bill is $12.04. You want to leave a 15% percent tip.

  • Percents: Percentages in Real Life (52)

    A tip is a percentage of the total. In this case, it means the tip is fifteen percent of $12.04.

  • Percents: Percentages in Real Life (53)

    Whenever you see the phrase "of something" in a math sentence, it's usually a hint that you'll need to multiply.

  • Percents: Percentages in Real Life (54)

    So we'll multiply 12.04 by 15%.

  • Percents: Percentages in Real Life (55)

    Before we can do that, we'll need to convert 15% into a decimal.

  • Percents: Percentages in Real Life (56)

    We'll move the decimal point two places to the left...

  • Percents: Percentages in Real Life (57)

    We'll move the decimal point two places to the left...so 15% becomes 0.15.

  • Percents: Percentages in Real Life (58)

    Now we can multiply. 0.15 times 12.04 equals 1.80.

  • Percents: Percentages in Real Life (59)

    So the tip is $1.80.

  • Percents: Percentages in Real Life (60)

    We could also say that 15% of $12.04 is $1.80.

  • Percents: Percentages in Real Life (61)

    Remember, a tip is extra money added to the total. So we'll add the tip to the bill.

  • Percents: Percentages in Real Life (62)

    1.80 plus 12.04 equals 13.84.

  • Percents: Percentages in Real Life (63)

    So the final price of the meal is $13.84, after including tip.

  • Percents: Percentages in Real Life (64)

    Let's try another example. Let's say you had excellent service and would like to leave a 20% tip for a meal that cost $68.80.

  • Percents: Percentages in Real Life (65)

    This means the tip will be 20% of $68.80.

  • Percents: Percentages in Real Life (66)

    We'll multiply 20% by 68.80.

  • Percents: Percentages in Real Life (67)

    First, we'll need to convert 20% into a decimal, so we'll move the decimal point two places to the left.

  • Percents: Percentages in Real Life (68)

    20% is the same as 0.20.

  • Percents: Percentages in Real Life (69)

    Now we'll multiply. 68.80 times 0.20 equals 13.76.

  • Percents: Percentages in Real Life (70)

    So the tip is $13.76.

  • Percents: Percentages in Real Life (71)

    Another way to say this is that 20% of $68.80 is $13.76.

  • Percents: Percentages in Real Life (72)

    Finally, we'll add the tip to the bill.

  • Percents: Percentages in Real Life (73)

    68.80 plus 13.76 equals 82.56.

  • Percents: Percentages in Real Life (74)

    The final price, after tip, is $82.56.

  • Percents: Percentages in Real Life (75)

Try This!

Find the final price for each item, including the tip.

You have a pizza delivered to your house. It costs $19. You want to leave the delivery driver a 15% tip. What's the total?

Percents: Percentages in Real Life (76)

You eat out at a restaurant with some friends. The bill comes to $47.50. If you leave a 20% tip, what is the total cost of your bill?

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Your cab fare from home to the airport is $35. You'd like to give your driver an 18% tip. What's the total?

Percents: Percentages in Real Life (78)

Percents: Percentages in Real Life (80)

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Percents: Percentages in Real Life (81)

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Percents: Percentages in Real Life (2024)

FAQs

Percents: Percentages in Real Life? ›

Percentages are used widely and in many different areas. For example, discounts in shops, bank interest rates, rates of inflation and many statistics in the media are expressed as percentages. Percentages are important for understanding the financial aspects of everyday life.

What is a real life example of percentages? ›

Let's say a shirt costs eight dollars, but it's on sale for 50% off. This means it will cost fifty percent less than the original price, or half as much. This discount is a percentage of the original price. Here, 50% off means the discount is 50% of $8.

Where is percentage change used in real life? ›

Percentages are often used to calculate profit margins, interest rates, and discounts. In finance, percentages are used to calculate interest on loans and investments, and to compare the performance of different investments.

How important is knowing percentages in real life? ›

As you can see, percentages are used in many different aspects of our daily lives. By understanding how to calculate percentages, we can make better decisions, solve problems more effectively, and communicate information more accurately. You can understand interest rates through learning about more about percentages.

What is an example of percent composition in everyday life? ›

In daily life, density explains everything from why boats float to why air bubbles will try to escape from soda. It even affects your health because bone density is very important. Similarly, percent composition is commonly used to make animal feed and compounds such as the baking soda found in your kitchen.

What is a real world application of ratios or percentages? ›

You may simply illustrate ratios while checking the prices of different groceries by utilising 2 different boxes of cereal. When a 10 -ounce box of cereal cost $3 and a 20 – ounce box costs $5, the 20-ounce box is the better deal since each ounce of the cereal is less expensive.

How are percentages used in the medical field? ›

Percentage means “out of 100.” Healthcare workers use percentages and proportions to perform tasks like figuring out amounts that patients owe based on their coinsurance or how much a 20% deposit on a medical device would be and calculating dosages based on percent of body weight.

How are percentages used in business? ›

Common calculations used by business include calculations of percentages, percentage changes and averages. Businesses regularly use percentages, for example if they want to find out what percentage of a selling price is profit for a product. Percentages are displayed using the % symbol. A percentage means 'out of 100'.

What is one way to use percentages? ›

Percentages can be used to express a fraction of something. For example, a company started with 15,000 employees and has grown 3% within the past year. O B. Percentages can be used to describe a change.

Why do percentages exist? ›

Percentages are often used to express a proportionate part of a total. (Similarly, one can also express a number as a fraction of 1,000, using the term "per mille" or the symbol "‰".)

What is the purpose of using percentages? ›

It is used to determine “how much” and “how many” and hence helps calculate the exact figure or amount. It helps in finding out quantitative information from a set of data. It helps identify percentage increase or decrease as well as help find out overall profit and loss percent.

What do percentages tell us? ›

We can think of a hundred as a whole, or all of something. A hundred percent of a pizza is the whole pizza. Half a pizza would be 50 percent, or half of a hundred percent. The percentage tells you how much of the whole you have.

How to use percentages in real life? ›

The percentage is used by Banks and financial institutions to calculate interest % on loans, fixed deposits, and savings accounts. Per cent is also used by economists to calculate the growth rate, inflation rate etc. It is also used for many other rates like depreciation rate on cars, trucks, and other vehicles.

What is the significance of percentage? ›

The percentage is used to determine “how much” or “how many.” A percentage number aids in calculating the exact amount or figure that is being discussed. Fractions are compared. Identifying a percentage increase or decrease. Helps in finding profit and loss percentages.

How do you explain percentages? ›

In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100.

What career uses percentages? ›

Graphic designer. Jobs that use maths can also be creative – just ask a graphic designer. They use scale, percentages, proportion, symmetry and pattern recognition to make sure their work is visually appealing and effective.

What are percentages and how are they used? ›

Percentages represent an amount out of 100. This provides a consistent base to compare against when looking at fractional parts. For example, 50%, means 50 out of 100 or . 50% is the same as one half.

Which is one way to use percentages? ›

Percentages can be used to express a fraction of something. For example, a company started with 15,000 employees and has grown 3% within the past year.

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