How do you calculate the percentage value?

Although there's no real reason, quite a few students are somewhat apprehensive about topics involving percentage calculations. To calculate percentages, all you need to do is memorize basic formulas and apply calculation techniques. Maybe in your first encounter with percentages, you answered relatively simple questions, but as you progress through the curriculum and move to higher grades, the topics and questions become more complex.

Calculating the percentage value is one of the questions you will need to answer. What is the purpose of the question? To understand what percentage represents a certain part. Naturally, such a question will appear as part of various problems you will face, regardless of your study group or the learning units you are assigned to. So how do we calculate a percentage value?

Examples for calculating percentage value:

The formula you will use to calculate the percentage value is: divide the specific part by the total amount, and multiply by one hundred. And now? Examples:

First example:

Michal bought 8080 cupcakes for her birthday party. She couldn't resist waiting for her friends to arrive, and ate 1515 cupcakes by herself before they came. What percentage of the cupcakes did she eat?

Solution

Total number of cakes: 8080

The number of cakes she ate: 1515

The calculation: 1580100=18.75%\frac{15}{80} \cdot 100 = 18.75\%

Second example:

Lana's friends wanted to treat her with a birthday gift! They were interested in a dress that costs about 300300 Dollars, but the seller gave them a special discount of about 6060 Dollars. What percentage discount did Lana's friends receive?

Solution

  • Initial price: 300300.
  • Discount: 6060 Dollars.
  • Calculation: 60300100=20%\frac{60}{300} \cdot100 = 20\%.

Practice Quantity, percentage, percentage value

Examples with solutions for Quantity, percentage, percentage value

Exercise #1

Calculate 10 over 100 as a percentage:

Step-by-Step Solution

In order to determine what percentage 10 is out of 100, we use the following formula:

Percentage=PartWhole×100% \text{Percentage} = \frac{\text{Part}}{\text{Whole}} \times 100\%

.

We substitute in the known values:

Percentage=10100×100%=10% \text{Percentage} = \frac{10}{100} \times 100\% = 10\%

.

Thus, 10 out of 100 is 10% 10\% .

Answer

10%

Exercise #2

Calculate 15% of 100:

Step-by-Step Solution

To find 15% of 100, you can convert the percentage to a decimal by dividing by 100:

15%=15100=0.15 15\% = \frac{15}{100} = 0.15

Next, multiply this decimal by 100:

0.15×100=15 0.15 \times 100 = 15

Thus, 15% of 100 is 15.

Answer

15 15

Exercise #3

Calculate 20% of 100:

Step-by-Step Solution

In order to determine 20% of 100, we begin by converting the percentage into a decimal and then proceed to multiply by the whole number. First, convert 20% to a decimal: 20%=0.2 20\% = 0.2

Next, multiply this decimal by 100 to find the percentage of the whole number: 0.2×100=20 0.2 \times 100 = 20

Thus, 20% of 100 is 20 20 .

Answer

20 20

Exercise #4

Calculate 25 over 100 as a percentage:

Step-by-Step Solution

In order to determine what percentage 25 is out of 100, we use the following formula:

Percentage=PartWhole×100% \text{Percentage} = \frac{\text{Part}}{\text{Whole}} \times 100\%

.

We begin by substituting in the known values:

Percentage=25100×100%=25% \text{Percentage} = \frac{25}{100} \times 100\% = 25\%

.

Thus, 25 out of 100 is 25% 25\% .

Answer

25%

Exercise #5

Calculate 30 over 100 as a percentage:

Step-by-Step Solution

In order to determine what percentage 30 is out of 100, you can use the following formula:

Percentage=PartWhole×100 \text{Percentage} = \frac{\text{Part}}{\text{Whole}} \times 100

We begin by substituting the given values into the formula:

Percentage=30100×100 \text{Percentage} = \frac{30}{100} \times 100

We then proceed to simplify the expression:

Percentage=30% \text{Percentage} = 30\%

Therefore, 30 out of 100 is 30%.

Answer

30%

Exercise #6

Calculate 32 over 100 as a percentage:

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the given fraction 32100 \frac{32}{100} .
  • Step 2: Recognize that the denominator of 100 aligns directly with the meaning of percentage.
  • Step 3: Conclude that when the fraction is Part100 \frac{\text{Part}}{100} , it equals Part% \text{Part}\% .

Now, let's work through each step:

Step 1: The problem gives us the fraction 32100 \frac{32}{100} .
Step 2: Since the denominator is 100, the fraction directly represents a percentage.
Step 3: This means that 32100 \frac{32}{100} is simply 32% 32\% .

Therefore, the solution to the problem is 32% 32\% .

Answer

32%

Exercise #7

Calculate 35% of 100:

Step-by-Step Solution

To find 35% of 100, first convert the percentage into a decimal by dividing by 100: 35%=35100=0.35 35\% = \frac{35}{100} = 0.35 .

Then, multiply this decimal by 100: 0.35×100=35 0.35 \times 100 = 35 .

Therefore, 35% of 100 is 35 35 .

Answer

35 35

Exercise #8

Calculate 3% of 100:

Video Solution

Step-by-Step Solution

To solve this problem, we'll proceed with the following steps:

  • Step 1: Identify the given information
    We are given a percentage of 3% and a whole number of 100.
  • Step 2: Use the percentage formula
    The formula to calculate the percentage of a whole number is given by:
    Percentage value=percentage100×whole number \text{Percentage value} = \frac{\text{percentage}}{100} \times \text{whole number}
  • Step 3: Substitute the values and calculate
    Substituting the given values into the formula, we have:
    3100×100=3 \frac{3}{100} \times 100 = 3

Therefore, the 3% of 100 is 3 3 .

Answer

3

Exercise #9

Calculate 40 over 100 as a percentage:

Step-by-Step Solution

In order to determine what percentage 40 is out of 100, we use the following formula:

Percentage=(PartWhole)×100 \text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100

We begin by substituting in the known values:

Percentage=(40100)×100 \text{Percentage} = \left( \frac{40}{100} \right) \times 100

We then proceed to solve the expression:

Percentage=0.4×100 \text{Percentage} = 0.4 \times 100

Percentage=40 \text{Percentage} = 40

Thus, 40 out of 100 is 40%.

Answer

40%

Exercise #10

Calculate 40 over 100 as a percentage:

Video Solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Use the percentage formula: (PartWhole)×100%\left(\frac{\text{Part}}{\text{Whole}}\right) \times 100\%.
  • Step 2: Substitute the given numbers: (40100)×100%\left(\frac{40}{100}\right) \times 100\%.
  • Step 3: Calculate the division, 40100=0.4\frac{40}{100} = 0.4.
  • Step 4: Multiply by 100 to convert to a percentage: 0.4×100=40%0.4 \times 100 = 40\%.

Therefore, 40 over 100 as a percentage is 40%40\%.

Answer

40%

Exercise #11

Calculate 45% of 100:

Step-by-Step Solution

To find 45% of 100, you can multiply the percentage as a decimal by the whole number. First, convert 45% into a decimal. This is done by dividing by 100: 45%=45100=0.45 45\% = \frac{45}{100} = 0.45 .

Then, multiply this decimal by 100: 0.45×100=45 0.45 \times 100 = 45 .

Therefore, 45% of 100 is 45 45 .

Answer

45 45

Exercise #12

Calculate 50% of 100:

Step-by-Step Solution

In order to determine 50% of 100, we first convert the percentage into a decimal. Convert 50% to a decimal: 50%=0.5 50\% = 0.5 .

Next, multiply the decimal by 100 to get the percentage value: 0.5×100=50 0.5 \times 100 = 50 .

Therefore, 50% of 100 is 50 50 .

Answer

50 50

Exercise #13

Calculate 50 over 100 as a percentage:

Step-by-Step Solution

In order to determine what percentage 50 is out of 100, we use the following formula:

Percentage=PartWhole×100 \text{Percentage} = \frac{\text{Part}}{\text{Whole}} \times 100

Input the known values into the formula:

Percentage=50100×100 \text{Percentage} = \frac{50}{100} \times 100

This simplifies to:

Percentage=50% \text{Percentage} = 50\%

Hence, 50 out of 100 corresponds to 50%.

Answer

50%

Exercise #14

Calculate 65 over 100 as a percentage:

Step-by-Step Solution

To find what percentage 65 is out of 100, use the formula:

Percentage=(PartWhole)×100 \text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100

Substitute the given values:

Percentage=(65100)×100 \text{Percentage}=\left(\frac{65}{100}\right)\times100

Solve the expression:

Percentage=0.65×100 \text{Percentage}=0.65\times100

Percentage=65 \text{Percentage}=65

So, 65 out of 100 is 65%.

Answer

65%

Exercise #15

Calculate 6% of 100:

Video Solution

Step-by-Step Solution

To solve the problem of calculating 6% of 100, we follow these clear steps:

  • Step 1: Convert the percentage to a fraction. The percentage 6% is equivalent to the fraction 6100 \frac{6}{100} .
  • Step 2: Multiply the whole number by this fraction. We calculate 6100×100 \frac{6}{100} \times 100 .
  • Step 3: Perform the calculation. Simplifying 6100×100 \frac{6}{100} \times 100 , we find:
6×100100=6 \frac{6 \times 100}{100} = 6

Therefore, the solution to the problem is 6.

Answer

6