How do you calculate the percentage value?

🏆Practice percentage

How do you calculate the 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.

To solve percentage problems, we will use the following formula

Examples for calculating percentage value:

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 percentage!

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 Percentage

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 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 #3

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 #4

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 #5

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

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