85.5 is what percent of 108.7 - 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 108.7 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 108.7, so we can write it down as 100%=108.7.
4. We know, that x% equals 85.5 of the output value, so we can write it down as x%=85.5.
5. Now we have two simple equations:
1) 100%=108.7
2) x%=85.5
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%=108.7/85.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 85.5 is what percent of 108.7

100%/x%=108.7/85.5
(100/x)*x=(108.7/85.5)*x       - we multiply both sides of the equation by x
100=1.27134502924*x       - we divide both sides of the equation by (1.27134502924) to get x
100/1.27134502924=x
78.6568537259=x
x=78.6568537259

now we have:
85.5 is 78.6568537259% of 108.7