Examples with solutions for Quantity, percentage, percentage value: The Whole number is a Multiple of 100

Exercise #1

Calculate 12 over 20 as a percentage:

Video Solution

Step-by-Step Solution

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

  • Step 1: Divide 12 by 20.
  • Step 2: Multiply the result by 100 to convert the decimal to a percentage.

Now, let's work through each step:

Step 1: We start by calculating the fraction of 12 over 20.

1220=0.6 \frac{12}{20} = 0.6

Step 2: Convert the decimal 0.6 into a percentage by multiplying by 100.

0.6×100=60 0.6 \times 100 = 60

Therefore, 12 over 20 as a percentage is 60%.

Answer

60%

Exercise #2

Calculate 12 over 50 as a percentage:

Video Solution

Step-by-Step Solution

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

  • Step 1: Divide the numerator by the denominator.
  • Step 2: Multiply the result by 100 to convert it into a percentage.

Now, let's work through each step:

Step 1: Divide 12 by 50.

1250=0.24 \frac{12}{50} = 0.24

Step 2: Multiply the result by 100 to convert it to a percentage.

0.24×100=24% 0.24 \times 100 = 24\%

Therefore, the solution to the problem is that 12 12 over 50 50 is 24% 24\%. The correct choice is: :

24%

.

Answer

24%

Exercise #3

Calculate 13 over 20 as a percentage:

Video Solution

Step-by-Step Solution

To convert the fraction 1320\frac{13}{20} into a percentage, we need to follow these steps:

  • Step 1: Divide the numerator 13 by the denominator 20 to get a decimal:
  •   1320=0.65\ \ \frac{13}{20} = 0.65
  • Step 2: Multiply the resulting decimal by 100 to convert it into a percentage:
  •   0.65×100=65%\ \ 0.65 \times 100 = 65\%

Thus, the fraction 1320\frac{13}{20} is equivalent to 65%\textbf{65\%} when expressed as a percentage.

Answer

65%

Exercise #4

Calculate 20 over 25 as a percentage:

Video Solution

Step-by-Step Solution

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

  • Step 1: Divide the numerator by the denominator.
  • Step 2: Convert the result into a percentage by multiplying by 100.
  • Step 3: Compare with multiple-choice options for confirmation.

Now, let's work through each step:
Step 1: Divide 20 by 25:
2025=0.8 \frac{20}{25} = 0.8
Step 2: Multiply by 100 to convert to a percentage:
0.8×100=80% 0.8 \times 100 = 80\%

Therefore, the fraction 2025 \frac{20}{25} expressed as a percentage is 80%.

Answer

80%

Exercise #5

Calculate 24 out of 25 as a percentage:

Video Solution

Step-by-Step Solution

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

  • Step 1: Identify the given values
  • Step 2: Use the percentage formula
  • Step 3: Calculate the result

Now, let's work through each step:
Step 1: The problem gives us that we have 24 out of a total of 25.
Step 2: We'll use the formula for converting a fraction to a percentage: partwhole×100%\frac{\text{part}}{\text{whole}} \times 100\%. In this case, the part is 24 and the whole is 25.
Step 3: Plugging in our values, we get 2425×100%=0.96×100%=96%\frac{24}{25} \times 100\% = 0.96 \times 100\% = 96\%.

The fraction 24 out of 25 equals 96% when expressed as a percentage, which corresponds to choice 1.

Answer

96%

Exercise #6

Calculate 2.6 over 10 as a percentage:

Video Solution

Step-by-Step Solution

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

  • Step 1: Simplify and calculate the given fraction
  • Step 2: Convert the result to a percentage

Now, let's work through each step:
Step 1: The given fraction is 2.610\frac{2.6}{10}. Calculate this as a decimal:
2.610=0.26 \frac{2.6}{10} = 0.26

Step 2: Convert the decimal from Step 1 to a percentage by multiplying by 100100:
0.26×100=26 0.26 \times 100 = 26

Therefore, the solution to the problem is 26%.

Answer

26%

Exercise #7

Calculate 2 over 10 as a percentage:

Video Solution

Step-by-Step Solution

To solve the problem of converting the fraction 210 \frac{2}{10} into a percentage, we need to follow these steps:

  • Step 1: Recognize the given fraction, 210 \frac{2}{10} .
  • Step 2: Convert this fraction to a percentage by multiplying by 100, as percentage means "per hundred".
  • Step 3: Simplify the expression to find the percentage.

Now, let's execute these steps:
Step 1: We have 210 \frac{2}{10} .
Step 2: Multiply 210 \frac{2}{10} by 100 to convert it into a percentage:
(210)×100=20010\left(\frac{2}{10}\right) \times 100 = \frac{200}{10}.
Step 3: Simplify 20010\frac{200}{10} to get 20.

Thus, 210 \frac{2}{10} expressed as a percentage is 20% 20\% .

Answer

20%

Exercise #8

Calculate 2 over 50 as a percentage:

Video Solution

Step-by-Step Solution

To solve the problem of converting 250\frac{2}{50} to a percentage, we will follow these steps:

  • Step 1: Identify the 'part' and the 'whole' from the given fraction. Here, the 'part' is 2, and the 'whole' is 50.
  • Step 2: Apply the formula to convert the fraction to a percentage: PartWhole×100%\frac{\text{Part}}{\text{Whole}} \times 100\%.
  • Step 3: Perform the calculation by substituting the given values into the formula.

Now, let's work through each step:

Step 1: From the fraction 250\frac{2}{50}, we identify 2 as the 'part' and 50 as the 'whole'.

Step 2: We'll use the formula PartWhole×100%\frac{\text{Part}}{\text{Whole}} \times 100\% to find the percentage:

Step 3: Substituting the values into the formula, we have:

250×100%=(250)×100=20050=4% \frac{2}{50} \times 100\% = \left(\frac{2}{50}\right) \times 100 = \frac{200}{50} = 4\%

Therefore, the fraction 2 over 50 as a percentage is 4%.

Answer

4%

Exercise #9

Calculate 4.4 over 10 as a percentage:

Video Solution

Step-by-Step Solution

To solve this problem, we'll convert the fraction 4.410 \frac{4.4}{10} into a percentage by following these steps:

  • Step 1: Identify the given fraction 4.410 \frac{4.4}{10} .

  • Step 2: Convert this fraction into a decimal by performing the division 4.4÷10=0.44 4.4 \div 10 = 0.44 .

  • Step 3: Multiply the decimal by 100 to convert it into a percentage: 0.44×100=44% 0.44 \times 100 = 44\% .

Therefore, 4.410 \frac{4.4}{10} expressed as a percentage is 44% 44\% .

Answer

44%

Exercise #10

Calculate 5 over 25 as a percentage:

Video Solution

Step-by-Step Solution

To solve this problem, we will convert the fraction 525 \frac{5}{25} into a percentage. Let's follow these steps:

  • Step 1: Divide the numerator by the denominator. Here, we divide 5 by 25:
    525=0.2\frac{5}{25} = 0.2.
  • Step 2: Convert the decimal to a percentage by multiplying by 100:
    0.2×100=20%0.2 \times 100 = 20\%.

Therefore, the solution to the problem is 20%.

Answer

20%

Exercise #11

Calculate 8 over 50 as a percentage:

Video Solution

Step-by-Step Solution

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

  • Step 1: Calculate the decimal representation of the fraction 850\frac{8}{50}.

  • Step 2: Convert the decimal to a percentage by multiplying by 100.

Let's break down each step:

Step 1: First, perform the division to find the decimal equivalent of the fraction: 850=0.16 \frac{8}{50} = 0.16

Step 2: Convert the decimal to a percentage by multiplying by 100: 0.16×100=16% 0.16 \times 100 = 16\%

Therefore, 850 \frac{8}{50} as a percentage is 16% 16\% .

Answer

16%

Exercise #12

Calculate 9 over 25 as a percentage:

Video Solution

Step-by-Step Solution

To solve the problem of converting the fraction 925\frac{9}{25} into a percentage, we will proceed through the following steps:

  • Step 1: Recognize that the fraction can be converted to a percentage by multiplying it by 100
  • Step 2: Calculate by performing the operation 925×100%\frac{9}{25} \times 100\%
  • Step 3: Simplify the calculation to find the percentage value

Now, let's apply these steps to find the answer:

Step 1: Our fraction is 925\frac{9}{25}.

Step 2: We convert it to a percentage by multiplying by 100:

925×100%=9×10025% \frac{9}{25} \times 100\% = \frac{9 \times 100}{25}\%

Step 3: Simplify the expression:

90025%=36% \frac{900}{25}\% = 36\%

Therefore, the fraction 925\frac{9}{25} is equivalent to 36% when expressed as a percentage.

Answer

36%

Exercise #13

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 #14

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 #15

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 #16

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 #17

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 #18

Convert the following fraction into a percentage:

1520=? \frac{15}{20}=\text{?}

Video Solution

Step-by-Step Solution

A percentage is actually a form of fraction, or more precisely, a fraction out of a hundred.

In other words, it is a fraction where the denominator is always 100.

Therefore, in order to convert a fraction into a percentage, we multiply it so that the denominator becomes 100.

20*5=100

15*5=75

Therefore the fraction is 75/100 and the percentage is 75%.

Answer

75%