Free percent worksheets generator: percent of a number, fractions decimals and percents, percent increase and decrease, discount, tax and tip, with answer keys.
Free percent worksheets for 6th and 7th grade. Find the percent of a number, work out what percent one number is of another, find the whole, and solve real-life percent word problems about sales, tips, test scores and growth. All answers come out as whole numbers, and every sheet has an answer key. Teachers call them percent worksheets or percentage worksheets, and both include percent word problems from real life.
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Ready-to-print percent worksheets (PDF)
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Percent of a numberLevel 1 + answer key.PDFCustomizeFind the percent or the wholeLevel 2 + answer key.PDFCustomizePercent word problemsLevel 3 + answer key.PDFCustomizeFractions, decimals and percentsConvert between all three + key.PDFCustomizePercent increase and decreasePercent change and new amounts.PDFCustomizeDiscount, tax and tipReal-life percentage word problems.PDFCustomize
Three kinds of percent problems
Question
How to solve it
Example answer
What is 30% of 70?
Multiply: 0.30 × 70
21
12 is what percent of 48?
Divide, then × 100: 12 ÷ 48 × 100
25%
15 is 30% of what number?
Divide by the percent: 15 ÷ 0.30
50
Almost every percentage question is one of these three, just dressed up in a different story. A quick mental trick: 10% of a number moves the decimal point one place left. From there, 20% is double, 5% is half, and 15% is 10% plus 5%. Our percent worksheets choose numbers that make these shortcuts work, so students can solve most problems without a calculator.
Finding the percent of a number
To find a percent of a number, change the percent to a decimal and multiply. 25% of 80 is 0.25 × 80 = 20. You can also think in fractions: 25% is 1/4, and a quarter of 80 is 20. The percent of a number level starts with friendly percents such as 10%, 25%, 50% and 75%, then moves to trickier ones like 15% and 40%. It is the best of our percent worksheets to start with.
Converting fractions, decimals and percents
Fractions, decimals and percents are three ways to write the same amount. To turn a decimal into a percent, multiply by 100 (0.35 becomes 35%). To turn a percent into a decimal, divide by 100 (8% becomes 0.08). For a fraction, divide the top by the bottom, then multiply by 100: 3/5 = 0.6 = 60%. To write a percent as a fraction, put it over 100 and simplify: 40% = 40/100 = 2/5. The fractions, decimals and percents worksheet mixes all four kinds of conversion on one page and pairs well with our fraction worksheets.
Percent increase and decrease
Percent change compares the change with the original amount: percent change = change ÷ original × 100. If a price goes from $70 to $77, the change is $7, and 7 ÷ 70 × 100 = 10%, a 10% increase. To increase an amount by a percent, add that percent of it: 160 increased by 10% is 160 + 16 = 176. To decrease, subtract instead. The percent increase and decrease level of these percent worksheets practices both directions with whole-number answers.
Discount, tax and tip
Shopping is where percentages appear most often in real life:
Discount: find the percent of the price and subtract it. A $60 jacket at 25% off saves $15, so it costs $45.
Sales tax: find the percent of the price and add it. A $40 game with 5% tax costs $40 + $2 = $42.
Tip: the same as tax: a 20% tip on an $85 lunch is $17, so the total is $102.
Original price: if a shirt costs $32 after a 20% discount, $32 is 80% of the original, so the original was $32 ÷ 0.8 = $40.
The discount, tax and tip worksheet uses all four, ten real-life percentage word problems per page.
Percent worksheets by grade
6th grade: understanding a percent as a rate per 100 and finding a percent of a quantity, which is standard 6.RP.A.3c in the Common Core grade 6 ratios and proportional relationships. Start these percent worksheets at levels 1, 2 and 4.
7th grade: multistep percent problems: tax, tips, discounts, markups, commissions and percent increase and decrease. Use levels 3, 5 and 6.
8th grade and up: quick review before simple interest, percent error and growth problems.
Common mistakes with percentages
Forgetting to divide by 100: 8% is 0.08, not 0.8.
Using the new amount instead of the original when finding percent change.
Subtracting the percent instead of the amount: a 20% discount on $50 is $10 off, not $20.
Thinking a 50% increase followed by a 50% decrease gets you back where you started. It does not: 100 becomes 150, then 75.
What are good percent word problems for 7th grade?
Sales tax, tips, discounts, original prices and percent increase or decrease. The discount, tax and tip level of these percent worksheets prints ten shopping problems per page, from sales tax to the original price before a discount.
What does percent mean?
Percent means “out of 100”. 35% is 35 out of every 100, which is the fraction 35/100 or the decimal 0.35.
How do I find a sale price?
Find the discount (the percent of the price), then subtract it from the price. A $60 jacket at 25% off has a $15 discount, so it costs $45.
How do you find the percent of a number?
Change the percent to a decimal and multiply. For 15% of 60, multiply 0.15 × 60 = 9.
How do you work out percent increase?
Subtract to find the change, divide by the original amount, then multiply by 100. From 50 to 60 is a change of 10, and 10 ÷ 50 × 100 = 20%.
How do you convert a fraction to a percent?
Divide the numerator by the denominator and multiply by 100. For 3/4, 3 ÷ 4 = 0.75, which is 75%.
Are these percentage worksheets free with answers?
Yes. Every percent worksheet you make or download is free, and its final page holds the worked answers.
Can students use calculators?
They can, but the numbers are chosen so every problem can be done by hand or in your head.
