The ATI TEAS will ask the applicant to determine the increase or decrease in percentage as represented by certain numbers. In addition, the applicant can be asked how to calculate percentages into final numbers when provided an operation about a specific percentage change.
HOW TO CALCULATE PERCENTAGES
To begin, we must understand what percentages are and how to calculate them. A percentage is a portion of an amount. Percentages can be expressed in two different ways. Either by a fraction (10/100) or written as 10%.
Simplify the operation: What is 10% of 200?
To perform the operation, we must multiply the number by the percentage given. We must first turn the percentage into a decimal. Start with 10% and move the decimal point to the left two places.
10% = 0.10
Once the percentage is converted to a decimal, you may multiple the operation.
200 x 0.10 = 20
The correct answer is 20.
Percentages can also be greater than 100 and are performed the same.
Simplify the operation: What is 300% of 15?
First, we begin by converting the percentage a decimal number. We move the decimal point to the left two places.
300% = 3.00
Lastly, we multiple 15 by 3.
15 x 3 = 45
The correct answer is 45.
Percentages can also be less than 1 and are performed the same.
Simplify the operation: What is 0.20% of 200?
First, we begin by converting the percentage into a decimal number only. We move the decimal point to the left two places. Be careful with these equations since the percentage is already a decimal.
0.20% = 0.0020
Since the percentage was already a decimal, we simply added two zeros to the right of the decimal.
Next, we multiple 200 by 0.0020.
200 x 0.0020 = 0.4
The correct answer is 0.4.
UNDERSTANDING INCREASES AND DECREASES WITH PERCENTAGES
As stated previously, another kind of operation likely to be found on the ATI TEAS involves increasing and decreasing with percentages.
For example: A computer went on sale for 30% off its original price. The original price is $1060. What is the new sale price?
This operation is asking the applicant to find the decrease percentage of a given quantity. To begin, we must first convert the percentage into a decimal.
30% = 0.30
Now we can multiple $1060 by 0.30 to determine the amount of the sale.
$1060 x 0.30 = $318
Finally, we can subtract the amount of the sale from the original price.
$1060 – $318 = $742
The sale price for the computer is now $742.
If you are looking to save time and your brain, there is another way to perform this operation without the extra step.
We have already established that the computer is 30% off its original price. This means the store is still charging 70% of the computer’s original price.
To begin, we must first convert the percentage into a decimal.
70% = 0.70
Now we can multiple $1060 by 0.70 to determine the amount of the sale.
$1060 x 0.70 = $742.
The ATI TEAS will also test the applicant on how to perform increase percentage operations on given quantities.
For example: A retail store increases its monthly sales from $2,000 to $4,000 in one month. What is the percentage increase in sales for the retail store?
To begin, we must first determine how much more money the retail store made in one month. We will subtract the previous month’s sales ($2,000) from the current month’s sales ($4,000).
$4,000 – $2,000 = $2,000
The total sales increase amount is $2,000. Now, we must determine what the percentage increase is by performing the following operation.
The amount of increase we calculated is $2,000 and the original amount is $2,000 .
The percentage increase is 1 which is converted to 100% after moving the decimal to the right two places.
ATI TEAS Math Basic PERCENTAGES
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Question 1 of 6
1. Question
A car went on sale for 80% of its original price. If the sales price of the car was $20,000, which of the following was the car’s original price?
Correct
The correct answer is B. This question asks you to find the original price of the car. We know that 80% of this price is $20,000. We can use this information to find the original price. First, change the percentage to a decimal number by moving the decimal to the left two places: 80% = 0.80. Next, use the formula for calculating percentage: original price x 0.80 = $20,000. Divide $20,000 by 0.80 to find the original price. The correct answer is $25,000.
Incorrect
The correct answer is B. This question asks you to find the original price of the car. We know that 80% of this price is $20,000. We can use this information to find the original price. First, change the percentage to a decimal number by moving the decimal to the left two places: 80% = 0.80. Next, use the formula for calculating percentage: original price x 0.80 = $20,000. Divide $20,000 by 0.80 to find the original price. The correct answer is $25,000.
Question 2 of 6
2. Question
The number of patients seen at a medical clinic decreased from 460 to 375 in the month of January. Which of the following is the percent decrease to the nearest tenth of a precent?
Correct
The correct answer is A. First, find the amount of decrease in patients seen. Subtract the final number of patients from the original number: 460 – 375 = 85. The number of patients seen decreased by 85. Now divide the amount of the decrease by the original number of patients: 85 ÷ 460 is approximately 0.1848. The percent decrease is about 0.1848, which can be converted to 18.48% and rounded up to 18.5%.
Incorrect
The correct answer is A. First, find the amount of decrease in patients seen. Subtract the final number of patients from the original number: 460 – 375 = 85. The number of patients seen decreased by 85. Now divide the amount of the decrease by the original number of patients: 85 ÷ 460 is approximately 0.1848. The percent decrease is about 0.1848, which can be converted to 18.48% and rounded up to 18.5%.
Question 3 of 6
3. Question
A plumber increased his hourly rate by 10%, which added a total of $8.00 to his rate. Which of the following was the plumber’s original rate?
Correct
The correct answer is B. First, change the percentage to a decimal number by moving the decimal to the left two places: 10% = 0.10. Next, use the formula for calculating percentages: original rate x 0.10 = $8.00. Divide $8 by 0.10 to find the original rate. The correct answer is $80.00.
Incorrect
The correct answer is B. First, change the percentage to a decimal number by moving the decimal to the left two places: 10% = 0.10. Next, use the formula for calculating percentages: original rate x 0.10 = $8.00. Divide $8 by 0.10 to find the original rate. The correct answer is $80.00.
Question 4 of 6
4. Question
Which of the following represents 32% of 1,700?
Correct
The correct answer is C. Change the percentage to a decimal number by moving the decimal to the left two places: 32% = 0.32. Then multiply 1,700 x 0.32. The result is 544.
Incorrect
The correct answer is C. Change the percentage to a decimal number by moving the decimal to the left two places: 32% = 0.32. Then multiply 1,700 x 0.32. The result is 544.
Question 5 of 6
5. Question
The number of residents at an animal shelter went down from 179 to 127 over a 6-month period. Which of the following is the percent decrease to the nearest tenth of a percent?
Correct
First, find the amount of the decrease in residents at the shelter. Subtract the final number of animals from the original number: 179 – 127 = 52. The number of animals decreased by 52. Now divide the amount of the decrease by the original number of animals: 52 ÷ 179 is approximately 0.2905. The percent decrease is about 0.2905, which can be converted to 29.05% and rounded up to 29.1%.
Incorrect
First, find the amount of the decrease in residents at the shelter. Subtract the final number of animals from the original number: 179 – 127 = 52. The number of animals decreased by 52. Now divide the amount of the decrease by the original number of animals: 52 ÷ 179 is approximately 0.2905. The percent decrease is about 0.2905, which can be converted to 29.05% and rounded up to 29.1%.
Question 6 of 6
6. Question
417.6% of 275 =
Which of the following completes the equation above?
Correct
Change the percentage to a decimal number by moving the decimal to the left two places: 417.6% = 4.176. Then multiply 275 x 4.176. The correct answer is 1,148.40.
Incorrect
Change the percentage to a decimal number by moving the decimal to the left two places: 417.6% = 4.176. Then multiply 275 x 4.176. The correct answer is 1,148.40.
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