6.86 is what percent of 89.6 - 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 89.6 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 89.6, so we can write it down as 100%=89.6.
4. We know, that x% equals 6.86 of the output value, so we can write it down as x%=6.86.
5. Now we have two simple equations:
1) 100%=89.6
2) x%=6.86
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%=89.6/6.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.86 is what percent of 89.6

100%/x%=89.6/6.86
(100/x)*x=(89.6/6.86)*x       - we multiply both sides of the equation by x
100=13.061224489796*x       - we divide both sides of the equation by (13.061224489796) to get x
100/13.061224489796=x
7.65625=x
x=7.65625

now we have:
6.86 is 7.65625% of 89.6