Online percentage calculator for all types of percentages. With illustrative explanations, examples, formulas, calculations, and many tips. On this page, you will find the following percentage calculators that can handle any percent-based math problems you might have:
- Percent of? What is 26% of 133?
- Percent rate? 44 is what percent of 122?
- Original value? 12 is 22% of what?
- Change by a certain percent? add or deduct 15% to/from 20
- Percentage increase/decrease:60 is what percent lower than 2.70?
Percentage value calculator
50% of 100 is 50. Easy. But how do you calculate 26% of 133? It’s quite easy if you stick to the following formula.
How do you find the applicable percent rate? For example, 44 (a) is what percent of 122 (b)?
The percent rate is calculated by dividing the new value (a) by the original value (b) and multiplying by 100%.
Original value calculator
The percent rate, new value, and original value are the central figures in the percentage equation. But how exactly is the original value calculated? For example, €12 has already been paid. This is a 20% down payment of the target price. What is the actual price?
The original value is calculated by dividing the amount already paid by the percent rate and multiplying the result by 100.
Percentage increase or decrease of a value
Value in percent
How percentages shape our daily lives
“I’ll never need math again!” With a little distance from our school days, everyone knows that this, unfortunately, is not true. We are confronted with basic math problems, including percentages, on an almost daily basis. Whether you’re trying to calculate your margins as a retailer or trying to figure out how much VAT you’re paying, percentages are something we have to deal with everyday!
Calculating percentages is an essential task for everyday mathematics, but most people find it all overwhelming.
Where does the idea of “percent” (per 100) come from?
Originally, the term “percent” comes from the merchants in ancient Babylon. It was primarily interest rates that were described with the help of fractions and percentages. The term first shows up in Germany in the 15th century, albeit in Italian “per cento” (“per one hundred”). The % symbol did not appear until much later. In the 19th century, the line in the % symbol was not yet diagonal.
Calculating percentages in the real world
Especially in the world of trade, percentages are used everywhere. Here are some typical applications:
- price reductions/discounts
- calculating value-added tax
- calculating price increases on food and drink
- calculating prices to charge
- calculating margins
- interest and compound interest
- wage negotiations and salary increases
- alcohol content
- contribution margins
Background knowledge about calculating percentages
Percentage expresses a quantitative ratio and fulfils the same function as fractions such as one-half or one quarter. One-half means the same as 50% and one-quarter means 25%. Percentages can also express finer ratios, for example, 23% means 23/100 of the original value.
Just like one-half or one-quarter, a percentage indicates a ratio to an original: 30 is half of which original value? Which we can also express: 30 is 50% of which original value?
The meaning of the terms “by” and “to” needs to be distinguished:
“My salary increased by 5%” means that “My salary has risen to 105 percent of its original level.”
“My rent dropped by 3%” means the same as “My rent has dropped to 97% of its original level.”
If we say “Consumption dropped by a quarter,” this is the same as saying “Consumption dropped to three-quarters of its previous level.”
If comparing results expressed as percentages, this can be expressed in points or as a percentage of the initial percent rate. Example: The Blue Party’s results in the election increased from 4% to 5%. The party has improved it’s result by 1 point or by 25% (it increased to 125% of the previous result). Points indicate the simple difference between two percentages. If, however, the difference is expressed as a percentage (of the original percentage), then the starting percentage must be set to 100%. In the example above, 5% of the vote equals 125% of the 4% the Blues got in the previous election.