8.08 is what percent of 105.71 - 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 105.71 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 105.71, so we can write it down as 100%=105.71.
4. We know, that x% equals 8.08 of the output value, so we can write it down as x%=8.08.
5. Now we have two simple equations:
1) 100%=105.71
2) x%=8.08
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%=105.71/8.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.08 is what percent of 105.71

100%/x%=105.71/8.08
(100/x)*x=(105.71/8.08)*x       - we multiply both sides of the equation by x
100=13.082920792079*x       - we divide both sides of the equation by (13.082920792079) to get x
100/13.082920792079=x
7.6435531170183=x
x=7.6435531170183

now we have:
8.08 is 7.6435531170183% of 105.71