What is 34.75 percent of 34.75 - 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 34.75 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 34.75 is 100%, so we can write it down as 34.75=100%.
4. We know, that x is 34.75% of the output value, so we can write it down as x=34.75%.
5. Now we have two simple equations:
1) 34.75=100%
2) x=34.75%
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:
34.75/x=100%/34.75%
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 34.75% of 34.75

34.75/x=100/34.75
(34.75/x)*x=(100/34.75)*x       - we multiply both sides of the equation by x
34.75=2.8776978417266*x       - we divide both sides of the equation by (2.8776978417266) to get x
34.75/2.8776978417266=x
12.075625=x
x=12.075625

now we have:
34.75% of 34.75=12.075625