The Percentage of any given real number is defined as the relative real value which represents the hundredths parts of that given real number. It is represented by the symbol “%”.
One Percent (expressed as 1%) corresponds to the hundredth part. Fifty Percent (expressed as 50%) corresponds to half of the given quantity and Hundred Percent (expressed as 100%) corresponds to the complete given quantity.
Percentages are usually used to express portions or fractions of quantities. It is calculated by using the following formula:
Percentage = (Percent Value / Total Value) x 100
The aim of this article is to find the percent of the given value from the total value.
Solution: What is 20 percent of 50?
The 20 percent of 50 is 10.
The Percentage is defined as the fraction of a hundred, 100 which can be expressed in the form of a ratio or a number. It has no unit or dimension and is only represented by the symbol “%”. In order to find the percent of a given number or quantity, we rearrange the above equation as follows:
Percent Value = (Percentage x Total Value) / 100
How To Calculate 20% of 50?
Following is the step-by-step procedure for calculating the percent value from the given percentage and total number.
Step 1
Given that:
Percentage = 20 %
Total Value = 50
Percent Value =?
Step 2
Let’s assume that the Percent Value is “X”.
Step 3
We will use the formula for calculating the Percent Value as follows:
Percentage = (Percent Value / Total Value) x 100
By rearranging this expression for finding Percent Value, we get the following expression:
Percent Value = (Percentage x Total Value) / 100
Substituting the given values and the assumed value in the above equation:
X = (20 x 50) / 100
Solving the above equation:
X = 1000 / 100
We will further solve and simplify this fraction o get the Percent Value:
X = 10
So:
Percent Value = 10
Therefore, 20 % of 50 is 10.
Step 4
Figure 1
The above figure shows the Pie Chart to express what is 20% of 50. If we divide the total value of 50 into 100 equal parts, the blue region represents the 20% value of 50 which is equal to 10 and the remaining portion of 100 parts is 80% which occupies the orange region.
All Images/Mathematical drawings are created with GeoGebra.