What is 34.2857 percent of 35 - 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 35 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 35 is 100%, so we can write it down as 35=100%.
4. We know, that x is 34.2857% of the output value, so we can write it down as x=34.2857%.
5. Now we have two simple equations:
1) 35=100%
2) x=34.2857%
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:
35/x=100%/34.2857%
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 34.2857% of 35

35/x=100/34.2857
(35/x)*x=(100/34.2857)*x       - we multiply both sides of the equation by x
35=2.916667881945*x       - we divide both sides of the equation by (2.916667881945) to get x
35/2.916667881945=x
11.999995=x
x=11.999995

now we have:
34.2857% of 35=11.999995