6.91 is what percent of 115.17 - 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 115.17 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 100% equals 115.17, so we can write it down as 100%=115.17.
4. We know, that x% equals 6.91 of the output value, so we can write it down as x%=6.91.
5. Now we have two simple equations:
1) 100%=115.17
2) x%=6.91
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:
100%/x%=115.17/6.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.91 is what percent of 115.17

100%/x%=115.17/6.91
(100/x)*x=(115.17/6.91)*x       - we multiply both sides of the equation by x
100=16.667149059334*x       - we divide both sides of the equation by (16.667149059334) to get x
100/16.667149059334=x
5.9998263436659=x
x=5.9998263436659

now we have:
6.91 is 5.9998263436659% of 115.17