Percent Problems Worksheet- Practice and Solutions

What a Percent Problems Worksheet Actually Is

It's a sheet of paper—digital or physical—with math problems that force you to calculate percentages. That's it. No fancy definitions. No educational theory. Just numbers, percentage symbols, and the question "what's the answer?"

These worksheets work because they give you repeated practice with the same three core percent scenarios you'll encounter in class, on standardized tests, and in real life. Master these, and percent problems stop being a problem.

The Three Types of Percent Problems You Must Know

Every percent problem fits into one of these categories. Learn to identify them fast.

Type 1: Find the Part

You know the whole and the percent. You need the part.

Example: What is 30% of 200?

Type 2: Find the Whole

You know the part and the percent. You need the whole.

Example: 45 is 15% of what number?

Type 3: Find the Percent

You know the part and the whole. You need the percent.

Example: What percent of 80 is 20?

The Formula That Makes Everything Simple

Stop memorizing three different formulas. Use this one:

Part = Percent × Whole

Every percent problem is a multiplication problem in disguise. The confusion comes from having to identify which number is which first.

How to Identify the Components

• The whole follows "of" (e.g., "30% of 200" → 200 is the whole)
• The percent always has the % symbol (or tells you to find it)
• The part is what you're solving for, or the smaller number being compared

Practice Problems with Solutions

Easy Level

Problem 1: What is 25% of 80?

Solution: Part = 0.25 × 80 = 20

Problem 2: 50 is 10% of what number?

Solution: 50 = 0.10 × Whole → Whole = 50 ÷ 0.10 = 500

Problem 3: What percent of 60 is 15?

Solution: 15 = Percent × 60 → Percent = 15 ÷ 60 = 0.25 = 25%

Medium Level

Problem 4: A shirt costs $45. It's on sale for 20% off. What's the discount amount?

Solution: Discount = 0.20 × 45 = $9

Problem 5: A store raises prices by 15%. If an item originally cost $120, what's the new price?

Solution: Increase = 0.15 × 120 = $18. New price = 120 + 18 = $138

Problem 6: You scored 84 out of 120 on a test. What percent did you get?

Solution: Percent = 84 ÷ 120 = 0.70 = 70%

Hard Level

Problem 7: A town's population was 50,000. It decreased by 12% one year, then increased by 8% the next year. What's the final population?

Solution: Year 1: 50,000 × 0.88 = 44,000. Year 2: 44,000 × 1.08 = 47,520

Problem 8: A car's value depreciates 20% per year. If it's worth $25,000 now, what will it be worth after 3 years?

Solution: Year 1: 25,000 × 0.80 = 20,000. Year 2: 20,000 × 0.80 = 16,000. Year 3: 16,000 × 0.80 = $12,800

Percent vs. Decimal vs. Fraction: The Quick Conversion

You can't solve percent problems if you don't know how to convert between forms.

The rule: Move the decimal two places left to go from percent to decimal. Move it two places right to go from decimal to percent.

Common Mistakes That Cost You Points

• Forgetting to convert the percent to decimal before multiplying. 30% is 0.30, not 30.
• Mixing up part and whole in Type 2 problems. The part goes on top of the division, the percent goes below.
• Skipping the percent sign in your answer. Your work might be right, but forgetting to add % loses credit.
• Rounding too early. Keep full decimal values until the final answer.

How to Use a Percent Problems Worksheet Effectively

Just printing one out and staring at it doesn't work. Here's what actually gets results.

Step 1: Time Yourself

Set a timer. Start with 10 problems in 15 minutes. Track your speed. The goal isn't just accuracy—it's automaticity. You want to identify problem types instantly.

Step 2: Show All Your Work

Write down the percent as a decimal. Write the formula. Plug in numbers. Seeing your process makes it easier to find mistakes and shows teachers you understand the concept.

Step 3: Check Your Answers Immediately

Don't wait until the end of the worksheet. Check each answer right after you solve it. Wrong habits calcify fast when you keep repeating them.

Step 4: Target Your Weaknesses

If you consistently miss Type 2 problems, do 20 of those specifically. Don't waste time on what you already know.

Where to Find Good Worksheets

Not all worksheets are created equal. Here's what separates the useful ones from the garbage.

• Khan Academy — Free, progressive difficulty, instant feedback
• CommonCoreSheets — Organized by skill, includes answer keys
• IXL Learning — Adaptive practice, tells you exactly what you missed
• Your textbook — Usually the best source because problems match what you'll be tested on

When You Need Help

If you're stuck on a problem type, don't just skip it. Here's the sequence:

1. Re-read the problem. Underline the whole, circle the percent, box the part.
2. Check if the answer makes sense. 50% of 200 should be around 100, not 10 or 1000.
3. Look up a worked example similar to your problem.
4. Ask for help. A teacher, tutor, or classmate who gets it beats staring at the page for 20 minutes.

The Bottom Line

Percent problems are simple once you know the formula and can identify the three problem types. A good worksheet gives you reps. What you do with those reps determines whether you get better.

Print out problems. Work through them daily. Check answers. Fix mistakes. That's the entire process. No shortcuts, no tricks—just math.