How do you calculate the percentage value?

🏆Practice quantity, percentage, percentage value

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\%.
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Test yourself on quantity, percentage, percentage value!

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Calculate 30 over 100 as a percentage:

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How do we calculate the percentage value?

Additional examples:

John found an attractive deal for a summer vacation in Greece! The advertisement promised a discount of 480480 Dollars to the first 5050 customers! The original vacation price before the discount is 24002400 Dollars. What percentage discount will John receive?

Solution

Initial price: 24002400 Dollars
The discount offered to John: 480480 Dollars
The calculation: 4802400100=20% \frac{480}{2400}\cdot100= 20\%
20%20\% discount

Another example:
Jeramiah and Daniel wanted to buy Ember a birthday present - a floral dress! The dress costs 450450 Dollars. Jeramiah asked Daniel to invest only 135135 Dollars, while he would pay the remainder from his pocket. What percentage of the gift's cost did Daniel pay?

Solution

Gift price: 450450 Dollars
Daniel's required cost: 135450100=30%\frac{135}{450}\cdot100= 30\%

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Examples with solutions for Quantity, percentage, percentage value

Exercise #1

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 #2

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 #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 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 #5

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%

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