8.07 is what percent of 105.55 - 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 105.55 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 105.55, so we can write it down as 100%=105.55.
4. We know, that x% equals 8.07 of the output value, so we can write it down as x%=8.07.
5. Now we have two simple equations:
1) 100%=105.55
2) x%=8.07
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%=105.55/8.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.07 is what percent of 105.55

100%/x%=105.55/8.07
(100/x)*x=(105.55/8.07)*x       - we multiply both sides of the equation by x
100=13.079306071871*x       - we divide both sides of the equation by (13.079306071871) to get x
100/13.079306071871=x
7.6456655613453=x
x=7.6456655613453

now we have:
8.07 is 7.6456655613453% of 105.55