What is 20.588235294118 percent of 800 - 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 800 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 800 is 100%, so we can write it down as 800=100%.
4. We know, that x is 20.588235294118% of the output value, so we can write it down as x=20.588235294118%.
5. Now we have two simple equations:
1) 800=100%
2) x=20.588235294118%
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:
800/x=100%/20.588235294118%
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 20.588235294118% of 800

800/x=100/20.588235294118
(800/x)*x=(100/20.588235294118)*x       - we multiply both sides of the equation by x
800=4.8571428571428*x       - we divide both sides of the equation by (4.8571428571428) to get x
800/4.8571428571428=x
164.70588235294=x
x=164.70588235294

now we have:
20.588235294118% of 800=164.70588235294