What is 142.85714285714 percent of 6.5 - 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 6.5 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 6.5 is 100%, so we can write it down as 6.5=100%.
4. We know, that x is 142.85714285714% of the output value, so we can write it down as x=142.85714285714%.
5. Now we have two simple equations:
1) 6.5=100%
2) x=142.85714285714%
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:
6.5/x=100%/142.85714285714%
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 142.85714285714% of 6.5

6.5/x=100/142.85714285714
(6.5/x)*x=(100/142.85714285714)*x       - we multiply both sides of the equation by x
6.5=0.70000000000001*x       - we divide both sides of the equation by (0.70000000000001) to get x
6.5/0.70000000000001=x
9.2857142857141=x
x=9.2857142857141

now we have:
142.85714285714% of 6.5=9.2857142857141