7.86 is what percent of 104.92 - 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 104.92 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 104.92, so we can write it down as 100%=104.92.
4. We know, that x% equals 7.86 of the output value, so we can write it down as x%=7.86.
5. Now we have two simple equations:
1) 100%=104.92
2) x%=7.86
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%=104.92/7.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.86 is what percent of 104.92

100%/x%=104.92/7.86
(100/x)*x=(104.92/7.86)*x       - we multiply both sides of the equation by x
100=13.348600508906*x       - we divide both sides of the equation by (13.348600508906) to get x
100/13.348600508906=x
7.4914220358368=x
x=7.4914220358368

now we have:
7.86 is 7.4914220358368% of 104.92