95.55 is what percent of 1208.7 - 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 1208.7 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 1208.7, so we can write it down as 100%=1208.7.
4. We know, that x% equals 95.55 of the output value, so we can write it down as x%=95.55.
5. Now we have two simple equations:
1) 100%=1208.7
2) x%=95.55
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%=1208.7/95.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 95.55 is what percent of 1208.7

100%/x%=1208.7/95.55
(100/x)*x=(1208.7/95.55)*x       - we multiply both sides of the equation by x
100=12.649921507064*x       - we divide both sides of the equation by (12.649921507064) to get x
100/12.649921507064=x
7.9051873914123=x
x=7.9051873914123

now we have:
95.55 is 7.9051873914123% of 1208.7