What is 20.25 percent of 34.25 - 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 34.25 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 34.25 is 100%, so we can write it down as 34.25=100%.
4. We know, that x is 20.25% of the output value, so we can write it down as x=20.25%.
5. Now we have two simple equations:
1) 34.25=100%
2) x=20.25%
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:
34.25/x=100%/20.25%
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 20.25% of 34.25

34.25/x=100/20.25
(34.25/x)*x=(100/20.25)*x       - we multiply both sides of the equation by x
34.25=4.9382716049383*x       - we divide both sides of the equation by (4.9382716049383) to get x
34.25/4.9382716049383=x
6.935625=x
x=6.935625

now we have:
20.25% of 34.25=6.935625