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

Exercise #1

Calculate 25 out of 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 #2

Calculate 75 out of 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 #3

Calculate 10 out of 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 #4

Calculate 40 out of 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 #5

Calculate 65 out of 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 #6

Calculate 30 out of 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 #7

Calculate 50 out of 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 #8

Calculate 75 out of 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 #9

What percentage is 45 out of 180?

Video Solution

Step-by-Step Solution

When calculating percentages, we need to know the simple equation that fits almost all questions:

Percentage calculation formula

Using two pieces of data, we discover the third missing piece.

In this case, we know the percentage value - 45

And the initial quantity - 180

Therefore, we'll put this information into the formula:

X/100 = 45/180

We'll multiply by cross multiplication:

180X=45*100

180X=4500

Let's reduce:

18X=450

Divide by 18:

X=25

And so we discovered that the answer is 25%

Answer

25%

Exercise #10

Calculate 25 out of 125 as a percentage:

Step-by-Step Solution

In order to determine what percentage 25 is out of 125, we use the formula:

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

We begin by substituting the given values into the formula:

25125×100 \frac{25}{125} \times 100

We then divide 25 by 125:

0.2 0.2

Finally we multiply the result by 100 to convert it into a percentage:

0.2×100=20% 0.2 \times 100 = 20\%

Thus, 25 is 20% of 125.

Answer

20%

Exercise #11

What percentage is 32 out of 100?

Video Solution

Answer

32%

Exercise #12

What percentage is 40 out of 100?

Video Solution

Answer

40%

Exercise #13

What percentage is 2 out of 10?

Video Solution

Answer

20%

Exercise #14

What percentage is 5 out of 25?

Video Solution

Answer

20%

Exercise #15

What percentage is 12 out of 20?

Video Solution

Answer

60%

Exercise #16

What percentage is 12 out of 50?

Video Solution

Answer

24%

Exercise #17

What percentage is 2.6 out of 10?

Video Solution

Answer

26%

Exercise #18

What percentage is 9 out of 25?

Video Solution

Answer

36%

Exercise #19

What percentage is 13 out of 20?

Video Solution

Answer

65%

Exercise #20

What percentage is 8 out of 50?

Video Solution

Answer

16%