Percentage Practice Problems - Master Percentage Calculations

Practice calculating percentages with real-world problems. Learn percentage formulas, discount problems, and step-by-step solutions to build confidence.

📚Master Percentage Calculations with Interactive Practice
  • Calculate percentages using the part/whole × 100 formula
  • Solve discount and price reduction percentage problems
  • Find what percentage one number is of another
  • Apply percentage calculations to real-world scenarios like shopping
  • Practice step-by-step percentage problem solving methods
  • Build confidence with immediate feedback on percentage calculations

Understanding Percentage

Complete explanation with examples

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: 1580â‹…100=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: 60300â‹…100=20%\frac{60}{300} \cdot100 = 20\%.
Detailed explanation

Practice Percentage

Test your knowledge with 25 quizzes

Calculate 35% of 100:

Examples with solutions for Percentage

Step-by-step solutions included
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%

Frequently Asked Questions

What is the formula for calculating percentages?

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The percentage formula is: (Part ÷ Whole) × 100 = Percentage. Divide the specific part by the total amount, then multiply by 100 to get the percentage value.

How do you calculate discount percentages when shopping?

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To find discount percentage: (Discount Amount ÷ Original Price) × 100. For example, a $60 discount on a $300 dress equals (60 ÷ 300) × 100 = 20% discount.

What are the most common percentage calculation mistakes?

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Common mistakes include: 1) Forgetting to multiply by 100, 2) Mixing up the part and whole in the formula, 3) Not identifying what represents the total amount in word problems.

How do you solve percentage word problems step by step?

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Follow these steps: 1) Identify the part and the whole from the problem, 2) Apply the formula (part ÷ whole) × 100, 3) Calculate and include the % symbol in your answer.

Why do we multiply by 100 in percentage calculations?

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We multiply by 100 because 'percent' means 'per hundred.' Converting a decimal to a percentage requires multiplying by 100 to express the ratio as parts per 100.

How can I check if my percentage calculation is correct?

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Verify by working backwards: multiply your percentage by the whole amount and divide by 100. The result should equal the original part you started with.

What types of real-world problems use percentage calculations?

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Percentage calculations appear in: shopping discounts, tax calculations, tip calculations, test scores, statistical data, interest rates, and population studies.

How do you find what percentage one number is of another?

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Use the formula: (First Number ÷ Second Number) × 100. For example, to find what percentage 15 is of 80: (15 ÷ 80) × 100 = 18.75%.

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