What is 34.76 percent of 20.558 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 20.558 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 20.558 is 100%, so we can write it down as 20.558=100%.
4. We know, that x is 34.76% of the output value, so we can write it down as x=34.76%.
5. Now we have two simple equations:
1) 20.558=100%
2) x=34.76%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
20.558/x=100%/34.76%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 34.76% of 20.558

20.558/x=100/34.76
(20.558/x)*x=(100/34.76)*x       - we multiply both sides of the equation by x
20.558=2.8768699654776*x       - we divide both sides of the equation by (2.8768699654776) to get x
20.558/2.8768699654776=x
7.1459608=x
x=7.1459608

now we have:
34.76% of 20.558=7.1459608