What is 34.02 percent of 20.25 - 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 20.25 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 20.25 is 100%, so we can write it down as 20.25=100%.
4. We know, that x is 34.02% of the output value, so we can write it down as x=34.02%.
5. Now we have two simple equations:
1) 20.25=100%
2) x=34.02%
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:
20.25/x=100%/34.02%
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 34.02% of 20.25

20.25/x=100/34.02
(20.25/x)*x=(100/34.02)*x       - we multiply both sides of the equation by x
20.25=2.9394473838918*x       - we divide both sides of the equation by (2.9394473838918) to get x
20.25/2.9394473838918=x
6.88905=x
x=6.88905

now we have:
34.02% of 20.25=6.88905