Percentage Calculator
A percentage is a number expressed as a fraction of 100, so 25% means 25 out of every 100. This free percentage calculator answers the three most common questions instantly: what is X% of Y, X is what percent of Y, and the percentage change from one number to another.
Percentage Calculator
Tips and Tips on Percentage Calculation
Percentages are also a way of expressing the relationship between two numbers as a fraction of 100. In other words, percentages tell us how one number relates to another. Calculating a percentage is very similar to putting a fraction together and then, regardless of the number, just calculate the denominator to 100. Since, by definition, percentages are fractions of 100, if you leave the denominator blank, the calculator will return 100.
If the sum (value as the denominator) is not a multiple of 100, calculating the percentage can be more complicated. Note that in the last example, we start with a real number greater than 1, and after moving two decimal places, we calculate a percentage greater than 100. The calculator will round the percentage to two decimal places, but you will see a more accurate percentage if the calculator rounds where the main result is.
A lot of percent problems turn out to be easy to calculate when you give them a little thought. Here’s a trick (Source: Basic Math for Dummies) that makes certain tough-looking percent problems so easy that you can do them in your head. Simply move the percent sign from one number to the other and flip the order of the numbers.
Suppose someone wants you to figure out the following:
88% of 50
Finding 88% of anything isn’t an activity that anybody looks forward to. But an easy way of solving the problem is to switch it around:
88% of 50 = 50% of 88
This move is perfectly valid, and it makes the problem a lot easier. 50% of 88 is simply half of 88:
88% of 50 = 50% of 88 = 44
As another example, suppose you want to find
7% of 200
Again, finding 7% is tricky, but finding 200% is simple, so switch the problem around:
7% of 200 = 200% of 7
To find 200% of any number, you just multiply that number by 2:
7% of 200 = 200% of 7 = 2 * 7 = 14
Frequently asked questions
How do I calculate a percentage of a number?
Multiply the number by the percentage and divide by 100. For example, 20% of 150 is 150 × 20 ÷ 100 = 30.
How do I find what percent one number is of another?
Divide the first number by the second and multiply by 100. For example, 30 out of 150 is 30 ÷ 150 × 100 = 20%.
How do I calculate percentage increase or decrease?
Subtract the old value from the new value, divide by the old value, and multiply by 100. A rise from 80 to 100 is a 25% increase.
What does percent mean?
Percent means per hundred. A percentage expresses a part of a whole as a fraction of 100, so 50% is the same as one half.
How do I add a percentage to a price?
Calculate the percentage of the price and add it to the original. Adding 15% to 40 gives 40 + 6 = 46.