Percent Worksheets
Free printable percent worksheets: converting, percent of a number, what percent, and percent of change. Whole answers, except decimal and fraction conversions.
Four kinds of question in rotation: converting between percents, decimals and fractions; taking a percentage of a number; working out what percent one number is of another; and applying a rise or a fall. What is 80% of 155? 3 is what percent of 5? A price of 145 falls by 40%.
Every answer is a whole number except when a question asks for a decimal or a fraction: 20% as a decimal is 0.2, and over 100 it is 20/100. Keeping the rest whole is a deliberate limit. 33% of 50 is 16.5 - a correct answer and a decimals question - so the percentage and the number are chosen together to divide cleanly. A sheet where a quarter of the answers came out to a half would teach that percentages are messy rather than teaching percentages.
What this worksheet covers
- Convert between percents, decimals and fractions
- Find a percent of a number, and one number as a percent of another
- Apply a percent increase or decrease
Common Core standards
- 6.RP.A.3c Find a percent of a quantity as a rate per 100.
- 7.RP.A.3 Use proportional relationships to solve multistep ratio and percent problems, including percent increase and decrease.
Frequently asked questions
What is a percent?
A fraction with 100 on the bottom, written with a sign instead. 45% is 45/100, which is 0.45. Those are three ways of writing one number, and converting between them is the first thing these sheets ask.
How do you find a percentage of a number?
Divide by 100 to get 1%, then multiply by the percentage you want. For 20% of 60: 1% is 0.6, so 20% is 12. With the friendlier percentages there are shortcuts - 50% is half, 25% is a quarter, 10% is moving the decimal point one place.
Are the answers always whole numbers?
Almost always. The percentage and the number are picked together so the arithmetic comes out, and a percent of a number that gives a decimal is a decimals question, which our decimal worksheets cover. The exceptions are the conversions that ask for a decimal or a fraction - 20% is 0.2, or 20/100 - which are the point of those questions, and together about one problem in six.
What grade is percent?
Sixth grade for converting and finding a percentage of a number; seventh for percent of change - discounts, mark-ups and tips.