Examples with solutions for Quantity, percentage, percentage value: Calculate the percentage of the whole number

Exercise #1

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 #2

Calculate 8% of 100:

Step-by-Step Solution

To find 8% of 100, first convert the percentage to a decimal by dividing by 100:

8%=8100=0.08 8\% = \frac{8}{100} = 0.08

Then, multiply this decimal by 100:

0.08×100=8 0.08 \times 100 = 8

Hence, 8% of 100 is 8.

Answer

8 8

Exercise #3

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 #4

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 #5

Calculate 95% of 100:

Step-by-Step Solution

In order to calculate 15% of 100, start by converting the percentage into a decimal. Convert 15% to a decimal: 95%=0.95 95\% = 0.95

Then multiply the decimal by 100 to find the percentage value: 0.95×100=95 0.95 \times 100 = 95

So, 95% of 100 is 95 95 .

Answer

95 95

Exercise #6

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 #7

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 #8

Calculate 75% of 100:

Step-by-Step Solution

In order to calculate 75% of 100, we must first convert the percent into a decimal. Convert 75% to a decimal: 75%=0.75 75\% = 0.75 .

Then multiply by the whole number: 0.75×100=75 0.75 \times 100 = 75 .

Therefore, 75% of 100 is 75 75 .

Answer

75 75

Exercise #9

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 #10

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

Exercise #11

Calculate 12% of 25:

Video Solution

Step-by-Step Solution

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

  • Step 1: Convert the percentage to a decimal.
  • Step 2: Multiply the decimal by the whole number.
  • Step 3: Verify the solution corresponds to one of the choices.

Now, let's work through each step:

Step 1: Convert 12% to a decimal:
12% is equivalent to 12100=0.12\frac{12}{100} = 0.12.

Step 2: Multiply the decimal by 25:
0.12×25 0.12 \times 25 .

Step 3: Perform the multiplication:
0.12×25=3 0.12 \times 25 = 3 .

Therefore, the solution to the problem is 3 3 .

The correct answer choice is the one labeled with the value 3, which is Choice 3.

Answer

3

Exercise #12

Calculate 20% of 50:

Video Solution

Step-by-Step Solution

To solve this problem, let'sfollow these steps:

  • Step 1: Convert the percentage into a decimal.
  • Step 2: Multiply this decimal by the given whole number to find the desired amount.

Now, let's apply these steps to the given problem:
Step 1: We have 20%, which is equivalent to 20100=0.2\frac{20}{100} = 0.2.
Step 2: Multiply this decimal by the whole number: 0.2×50=100.2 \times 50 = 10.

Therefore, 20% of 50 is 10 10 .

Answer

10

Exercise #13

Calculate 40% of 20:

Video Solution

Step-by-Step Solution

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

  • Step 1: Convert the percentage to a decimal.
  • Step 2: Multiply the decimal by the given whole number.

Let's go through each step with detailed explanation:

Step 1: The percentage given is 40%. To convert this to a decimal, we divide by 100:
40100=0.4\frac{40}{100} = 0.4.

Step 2: Multiply the decimal (0.4) by the whole number (20).
0.4×20=80.4 \times 20 = 8.

Therefore, 40% of 20 is 8.

Answer

8

Exercise #14

Calculate 4% of 20:

Video Solution

Step-by-Step Solution

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

  • Convert the percentage to a decimal by dividing by 100.
  • Multiply the decimal by the whole number to find the percentage of that number.

Let's apply these steps:

Step 1: Convert 4% to a decimal.
4%=4100=0.04 4\% = \frac{4}{100} = 0.04

Step 2: Multiply this decimal by the whole number 20.
0.04×20=0.8 0.04 \times 20 = 0.8

Therefore, 4% of 20 is 0.8 0.8 .

Answer

0.8

Exercise #15

Calculate 8% of 50:

Video Solution

Step-by-Step Solution

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

  • Step 1: Convert the given percentage to a decimal.
  • Step 2: Multiply this decimal by the whole number.
  • Step 3: Simplify and confirm the result.

Now, let's work through each step:
Step 1: Convert 8%8\% to a decimal by dividing by 100:
8%=8100=0.08 8\% = \frac{8}{100} = 0.08

Step 2: Multiply the decimal 0.080.08 by the whole number 5050:
0.08×50=4 0.08 \times 50 = 4

Step 3: The result is already simplified, so we conclude the value of 8%8\% of 5050 is 44.

Therefore, the solution to the problem is 44, which corresponds to choice 33.

Answer

4

Exercise #16

Calculate 15% of 200:

Video Solution

Step-by-Step Solution

To find 15% of 200, follow these steps:

  1. Convert the percentage to a decimal by dividing by 100: 15%=0.15 15\% = 0.15 .
  2. Multiply the decimal by the whole number: 0.15×200 0.15 \times 200 .
  3. Calculate the result: 0.15×200=30 0.15 \times 200 = 30 .
  4. Thus, 15% of 200 is 30.

Answer

30

Exercise #17

Calculate 8% of 150:

Video Solution

Step-by-Step Solution

To calculate 8% of 150, use the following steps:

  1. Convert the percentage to a decimal by dividing by 100: 8%=0.08 8\% = 0.08 .
  2. Multiply the decimal by the whole number: 0.08×150 0.08 \times 150 .
  3. Calculate the result: 0.08×150=12 0.08 \times 150 = 12 .
  4. Therefore, 8% of 150 is 12.

Answer

12

Exercise #18

Calculate 10% of 60:

Video Solution

Step-by-Step Solution

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

  • Step 1: Identify the percentage rate and the whole number given.
  • Step 2: Use the formula for percentage calculation.
  • Step 3: Perform the calculation to find the solution.

Here's a detailed explanation of each step:
Step 1: We are asked to find 10% of 60. The percentage rate is 10%, and the whole number is 60.
Step 2: We use the formula: percentage value=percentage rate100×whole number\text{percentage value} = \frac{\text{percentage rate}}{100} \times \text{whole number}.
Step 3: We convert 10% to a decimal by calculating 10100=0.1\frac{10}{100} = 0.1. Then, multiply this value by 60: 0.1×60=6 0.1 \times 60 = 6

Therefore, the solution to the problem is 6\mathbf{6}.

Answer

6

Exercise #19

Calculate 10% of 80:

Video Solution

Step-by-Step Solution

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

  • Step 1: Convert the percentage to a decimal form.
  • Step 2: Multiply the decimal by the given number to find 10% of the number.
  • Step 3: Identify the result from the calculation.

Let's go through each step:
Step 1: Convert the percentage to a decimal. Since we are given 10%, we convert it to 0.10. This is done by dividing the percentage by 100: 10100=0.10 \frac{10}{100} = 0.10 .
Step 2: Multiply the decimal by the whole number, 80:
0.10×80=8 0.10 \times 80 = 8 .
Step 3: Therefore, 10% of 80 is 8.

The correct multiple-choice answer is option 1, which is 8.

Answer

8

Exercise #20

Calculate 1% of 30:

Video Solution

Step-by-Step Solution

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

  • Convert the given percentage to a fraction.
  • Multiply this fraction by the whole number.

Let's work through the solution:

Step 1: Convert 1% into a fraction:

The fraction for 1% is 1100\frac{1}{100}.

Step 2: Multiply the fraction by the whole number:

1100×30=0.3\frac{1}{100} \times 30 = 0.3

Therefore, the value of 1% of 30 is 0.3\boxed{0.3}.

Among the provided options, the correct choice corresponding to 1% of 30 is 0.30.3, which matches Choice 3.

Answer

0.3