Percentage Practice Problems - Calculate Parts of a Whole

Master percentage calculations with step-by-step practice problems. Learn to find parts of a whole, calculate discounts, and solve real-world percentage word problems.

📚What You'll Practice: Percentage Calculations and Real-World Applications
  • Convert fractions to percentages and solve part-of-whole problems
  • Calculate percentage discounts and price reductions in shopping scenarios
  • Apply the percentage formula: Part = Percentage × Whole
  • Convert percentages to decimals for multiplication calculations
  • Solve word problems involving percentage increases and decreases
  • Determine what percentage one number is of another number

Understanding Percentage

Complete explanation with examples

What are Percentages?

In order to recognise and calculate percentages, we need to understand two basic concepts:

  • How to determine a part of a whole without percentages
  • How to determine a part of a whole with percentages

When we are discussing percentages, one should always ask the question "percentage of what?", meaning, there must be some whole from which the percentage is calculated. The whole serves as a reference point for the percentages.

To solve percentage problems, we will use the following formula

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

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

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To find what percentage one number is of another, divide the part by the whole and multiply by 100. For example, to find what percentage 15 is of 60: (15 ÷ 60) × 100 = 25%.

What's the easiest way to calculate percentage discounts?

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First, subtract the discount percentage from 100% to find what you'll pay. Then convert to decimal and multiply by the original price. For a 20% discount: pay 80%, so multiply the original price by 0.8.

How do you convert a percentage to a decimal for calculations?

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Divide the percentage by 100 or move the decimal point two places to the left. Examples: 25% = 0.25, 80% = 0.8, 5% = 0.05.

What does 'percentage of what' mean in word problems?

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This phrase helps identify the whole or reference point. The percentage is always calculated from this whole amount. Always ask 'percentage of what?' to find your starting value.

How do you solve percentage word problems step by step?

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Follow these steps: 1) Identify the whole amount, 2) Identify what percentage you need, 3) Convert percentage to decimal, 4) Multiply whole × decimal = part.

What's the difference between finding a part of a whole with and without percentages?

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Without percentages, you multiply a fraction by the whole (like 1/4 × 20). With percentages, you convert the percentage to a decimal first, then multiply (like 25% of 20 = 0.25 × 20).

How do you calculate the final price after a percentage discount?

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Method 1: Calculate discount amount and subtract from original price. Method 2: Find what percentage you pay (100% - discount%), convert to decimal, and multiply by original price.

Why do we multiply when finding a percentage of a number?

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Multiplication finds parts of wholes. When you want 25% of something, you're finding 25/100 of it, which requires multiplication. The percentage tells you what fraction of the whole you want.

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