What is 34.0704 percent of 122.82 - 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 122.82 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 122.82 is 100%, so we can write it down as 122.82=100%.
4. We know, that x is 34.0704% of the output value, so we can write it down as x=34.0704%.
5. Now we have two simple equations:
1) 122.82=100%
2) x=34.0704%
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:
122.82/x=100%/34.0704%
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 34.0704% of 122.82

122.82/x=100/34.0704
(122.82/x)*x=(100/34.0704)*x       - we multiply both sides of the equation by x
122.82=2.9350990889452*x       - we divide both sides of the equation by (2.9350990889452) to get x
122.82/2.9350990889452=x
41.84526528=x
x=41.84526528

now we have:
34.0704% of 122.82=41.84526528