Percent

Percent is used to express ratios in the form of a fraction with 100 as the denominator. In Latin, per cent means per hundred. Percents are usually written down using the internationally recognizable symbol % called the percent sign. Percent express the size of one quantity in relation to another quantity. The same relation can also be expressed with fractions or decimals. Like this:

56% = 0.56 = 56/100

Although percent can range in value from positive to negative infinity (you can actually say that a balloon increased its size by a million percent) and it does not have to be in the form of an integer (there is such a thing as 0.000002 percent), there are situations where the percentage can only be a value between 0 and 100.

When we talk about one part of a larger whole, the whole is considered to be the 100% and the part of that whole cannot be larger than that. For example, if you lose weight, you cannot lose more than 100% of your own weight (in theory – in practice the percent is way smaller than that).

The same thing is true when dealing with probability. The sum of probabilities of all possible outcomes in a single event cannot be greater than 100%. For instance, if you are tossing a coin that can only have two outcomes (heads or tails), there is a 50% chance that the outcome will be heads and a 50% chance the outcome will be tails. If you are throwing a 10-sided dice, each of the possible outcomes has a 10% chance of happening. The sum of all probabilities in an event is always 100%. Never more and never less. And a part of a whole is always smaller than the whole.

percent

Percent can also be converted into fractions and/or decimals for easier calculation. If you wish to learn more about that subject, click convert percents, decimals and fractions.

If you wish to practice what you learned about percent, feel free to use the worksheets below.

Percent exams for teachers

Worksheet Name File Size Downloads Upload date
Percents
Percents – easy 453 kB 1451 October 13, 2012
Percents – medium 453.2 kB 1500 October 13, 2012
Percents – hard 453.1 kB 1169 October 13, 2012
Fractions, decimals and percents
Fractions, decimals and percents – very easy 452.4 kB 978 October 13, 2012
Fractions, decimals and percents – easy 452.6 kB 1039 October 13, 2012
Fractions, decimals and percents – medium 0 B 1121 January 1, 1970
Fractions, decimals and percents – hard 453.9 kB 960 October 13, 2012
Fractions, decimals and percents – very_hard 454.1 kB 944 October 13, 2012


Percents worksheets for students

Worksheet Name File Size Downloads Upload date
Changing percents to decimals 36 kB 1913 October 14, 2012
Changing percents to fractions 42.9 kB 1644 October 14, 2012
Changing decimals to percents 28.8 kB 1326 October 14, 2012
Changing decimals to fractions 41.7 kB 1191 October 14, 2012
Changing fractions to percents 57.8 kB 977 October 14, 2012
Changing fractions to decimals 57.2 kB 955 October 14, 2012
Percent problems 480 kB 3768 October 14, 2012


Percent knowledge test