Examples with solutions for Quantity, percentage, percentage value: Express one number as a percentage of another

Exercise #1

Calculate 75 over 100 as a percentage:

Step-by-Step Solution

In order to determine the percentage of 75 out of 100, apply the percentage formula:

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

Substitute the specific values:

Percentage=75100×100 \text{Percentage} = \frac{75}{100} \times 100

The equation simplifies to:

Percentage=75% \text{Percentage} = 75\%

Therefore, 75 out of 100 is equivalent to 75%.

Answer

75%

Exercise #2

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 #3

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 #4

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 #5

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 #6

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 #7

Calculate 75 over 100 as a percentage:

Step-by-Step Solution

In order to determine what percentage 75 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=75100×100%=75% \text{Percentage} = \frac{75}{100} \times 100\% = 75\%

.

Thus, 75 out of 100 is 75% 75\% .

Answer

75%

Exercise #8

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 #9

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 #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 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 #12

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 #13

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 #14

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 #15

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 #16

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 #17

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 #18

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 #19

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 #20

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%