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αAπΣ∞∂θ√x²≠∫÷≤%+−½αβΔλφ³≈∑°
  1. Home/
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  3. Grade 7/
  4. Unit 2/
  5. Percent Problems
Grade 7 · Unit 2Topic 3 of 3~24 min

Percent Problems

Solve tax, tip, discount, markup, and percent-change problems.

All topics in this unit
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 1 · Learn

Walkthrough

Read this first — it covers the idea in plain language with a worked example.

Percent means 'per 100'

To find a percent of a number, change the percent to a decimal and multiply. 25% = 0.25, so 25% of 80 is 0.25 × 80 = 20.

Tax, tip, discount, and markup

  1. 1Find the percent amount (the tax, tip, or discount).
  2. 2For tax, tip, or markup, add it to the original.
  3. 3For a discount, subtract it from the original.
Worked example

A $40 shirt is 30% off. What is the sale price?

  1. →Discount = 0.30 × 40 = 12.
  2. →Sale price = 40 - 12 = 28.
  3. →A shortcut: pay 70%, so 0.70 × 40 = 28.

Percent change

Percent change = (amount of change ÷ original amount) × 100. Increase is positive; decrease is negative.

αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 2 · Watch

Video walkthrough

Watch the main video, then check the second take if you want another explanation.

Math Antics

Finding a Percent of a Number

Two methods for finding a percent of any amount.

Watch on YouTube
Math Antics

Calculating Percent Change

The formula for percent increase and decrease.

Watch on YouTube
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 3 · Practice

Practice

Try a worksheet or work through some problems before the quiz.

Khan Academy

Percent word problems

Open resource
Math Worksheets 4 Kids

Percent worksheets

Open resource
πΣ√≠≤+αβΔπΣx²θ÷+
Step 4 · Check

Quick check

A couple of questions to make sure this topic stuck. Retake as many times as you want.

Percent Problems

Question 1 of 3

Easy

A $60 jacket is marked up 20%. What is the new price?

αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
←Previous · Topic 2 of 3Proportional Relationships & k→Finished the unit?Back to Unit 2