What is the formula for determining the percentage


Percentage is the topic of this math article. We explain to you what is meant by the percentage and how to calculate it. Before doing this, however, we will explain the basic principles of percentage calculation.

The percentage calculation is used to represent a part of a whole. So 1% represents the hundredth share, 15% represents 15: 100 of a whole there and 100% is the whole, because 100%: 100% = 1. As you can see, the percentage calculation is very close to the fraction calculation. And also on the rule of three. Let us briefly clarify this with the following example.


Mr A. wants to sell a plot of land for 120,000 euros. A buyer negotiates with Mr. A. and receives a discount. The buyer only has to pay 80% of the estimated value. How much does the customer have to pay?

Solution: We have a starting price. The customer now has to pay 80 percent of this, which corresponds to 80: 100. The calculation looks like this:


Percentage formula:

Hopefully, the introduction to this article should have given you a brief glimpse into the basics of calculating percentages. In this section we come to important terms and formulas. The following are to be mentioned:

  • G for the basic value
  • p% for the percentage
  • p for the percentage
  • W for the percentage

To clarify again: p% is the percentage. Only p - i.e. without% - is called the percentage. The corresponding formulas then look like this:


Or the formula connection also via the percentage:


Example: calculate a percentage

A company checks the quality of its own vacuum cleaner production. 120 vacuum cleaners are checked, 8 of which were not OK. So what percentage of the vacuum cleaners were not OK?

Solution: We can see from the text that G = 120 and W = 8. We put these values ​​in the formula and use them to calculate the percentage p. By adding the percent sign, we get the percentage.

Thus, 6.67 percent of vacuum cleaners are out of order. So p% = 6.67%.


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